## Wednesday, June 13, 2018

### [uytzvqqf] Wide and top-heavy Cunningham

We explore factoring numbers of the form b^n-1 and b^n+1, beyond the bases (namely beyond b= 2, 3, 5, 6, 7, 10, 11, or 12) investigated by the Cunningham Project.  We also impose the constraint of b<=n (top-heavy).

The general strategy was to use YAFU (but did not install ggnfs, so only SIQS).  YAFU was not exactly stable, occasionally segfaulting, aborting, or omitting small factors, so we took the medium-sized prime factors (primes which were 21 digits or more but not the final (largest) factor) found by YAFU and "polished" them to complete factorizations using Pari/GP: Load the medium-sized primes with addprimes, then factorint.  Polishing the list below took a little over an hour.  Passing the "1" flag to factorint (avoid MPQS) did not save any time even though we were looking only for small (20 digits or less) factors.

We omit printing the largest factor in the list below for brevity.  There is one prime (30^32+1) among the 2222 lines.  This is a fascinating number because it seems related to 2^32+1, the first composite Fermat number, with 3^32 and 5^32, the product of first 3 primes raised to the 32nd power.

This replicates work done by others (collected by Brent) who have gone much further, so this should just be considered an exercise of tools and techniques.  How to generate this form of numbers (b^n) in order of increasing size will be the subject of a future post.  We did not take advantage of algebraic factorization other than b^2-1 = (b+1)(b-1).

13^13-1 = [2, 2; 3, 1; 53, 1; 264031, 1
13^13+1 = [2, 1; 7, 1; 13417, 1; 20333, 1
13^14+1 = [2, 1; 5, 1; 17, 1
14^14+1 = [29, 2; 113, 1; 197, 1; 3361, 1
13^15-1 = [2, 2; 3, 2; 61, 1; 4651, 1; 30941, 1
13^15+1 = [2, 1; 7, 1; 11, 1; 31, 1; 157, 1; 2411, 1
14^15-1 = [11, 1; 13, 1; 31, 1; 211, 1; 2851, 1; 3761, 1
14^15+1 = [3, 2; 5, 2; 61, 1; 71, 1; 101, 1; 811, 1
15^15-1 = [2, 1; 7, 1; 11, 1; 61, 1; 241, 1; 4931, 1
15^15+1 = [2, 4; 31, 1; 211, 1; 1531, 1; 19231, 1
13^16+1 = [2, 1; 2657, 1; 441281, 1
14^16+1 = [193, 1
15^16+1 = [2, 1; 257, 1
13^17-1 = [2, 2; 3, 1; 103, 1; 443, 1
13^17+1 = [2, 1; 7, 1
14^17-1 = [13, 1; 103, 1
14^17+1 = [3, 1; 5, 1; 137, 1
15^17-1 = [2, 1; 7, 1; 1045002649, 1
15^17+1 = [2, 4; 137, 1; 443, 1
13^18+1 = [2, 1; 5, 1; 17, 1; 37, 1; 28393, 1; 428041, 1
14^18+1 = [37, 1; 197, 1; 1033, 1
17^17-1 = [2, 4; 10949, 1; 1749233, 1
17^17+1 = [2, 1; 3, 2
13^19-1 = [2, 2; 3, 1; 12865927, 1
13^19+1 = [2, 1; 7, 1
15^18+1 = [2, 1; 13, 1; 37, 1; 113, 1; 3877, 1
14^19-1 = [13, 1
14^19+1 = [3, 1; 5, 1; 191, 1; 26981, 1
17^18+1 = [2, 1; 5, 1; 29, 1; 37, 1; 109, 1; 181, 1; 2089, 1; 83233, 1
13^20+1 = [2, 1; 41, 1; 14281, 1; 29881, 1
15^19-1 = [2, 1; 7, 1; 4272113, 1
15^19+1 = [2, 4; 229, 1; 13757, 1
18^18+1 = [5, 2; 13, 1; 37, 2; 229, 1; 457, 1; 25309, 1
14^20+1 = [41, 1; 937, 1; 61001, 1; 698521, 1
17^19-1 = [2, 4; 229, 1; 1103, 1; 202607147, 1
17^19+1 = [2, 1; 3, 2; 457, 1; 1559, 1; 2927, 1; 312931, 1
13^21-1 = [2, 2; 3, 2; 43, 1; 61, 1; 337, 1; 547, 1; 2714377, 1
13^21+1 = [2, 1; 7, 2; 29, 1; 157, 1; 463, 1; 22079, 1
15^20+1 = [2, 1; 17, 1; 41, 1; 1201, 1; 1489, 1
18^19-1 = [17, 1; 6841, 1
18^19+1 = [19, 2
14^21-1 = [13, 1; 43, 1; 211, 1; 547, 1; 8108731, 1
14^21+1 = [3, 2; 5, 1; 61, 1; 463, 1; 7027567, 1
19^19-1 = [2, 1; 3, 2
19^19+1 = [2, 2; 5, 1; 108301, 1; 1049219, 1
13^22+1 = [2, 1; 5, 1; 17, 1; 5281, 1
17^20+1 = [2, 1; 41, 1; 41761, 1
15^21-1 = [2, 1; 7, 2; 43, 1; 241, 1; 1743463, 1
15^21+1 = [2, 4; 211, 1; 723031, 1; 10678711, 1
18^20+1 = [113, 1; 881, 1; 929, 1
14^22+1 = [197, 1; 88001, 1; 240159217, 1
19^20+1 = [2, 1; 17, 1; 41, 1; 3833, 1; 478382041, 1
13^23-1 = [2, 2; 3, 1; 1381, 1
13^23+1 = [2, 1; 7, 1; 47, 1; 277, 1; 1151, 1; 2347, 1
17^21-1 = [2, 4; 43, 1; 307, 1; 13567, 1; 25646167, 1
17^21+1 = [2, 1; 3, 3; 7, 2; 13, 1; 22796593, 1
15^22+1 = [2, 1; 113, 1; 617, 1
20^20+1 = [148721, 1; 160001, 1
18^21-1 = [7, 4; 17, 1; 449, 1; 80207, 1
18^21+1 = [19, 1; 43, 1; 307, 1; 46747, 1; 32222107, 1
14^23-1 = [13, 1; 47, 1; 461, 1; 2347, 1; 10627, 1; 2249861, 1
14^23+1 = [3, 1; 5, 1; 139, 1; 967, 1; 19922509, 1
13^24+1 = [2, 1; 1009, 1; 407865361, 1
19^21-1 = [2, 1; 3, 3; 127, 1; 701, 1; 70841, 1; 30640261, 1
19^21+1 = [2, 2; 5, 1; 7, 4; 43, 2; 197, 1; 226871, 1; 343393, 1
15^23-1 = [2, 1; 7, 1; 829, 1; 31741, 1
15^23+1 = [2, 4; 47, 1; 6257, 1; 81421, 1; 825287, 1
17^22+1 = [2, 1; 5, 1; 29, 1; 89, 1; 25741, 1; 256152733, 1
20^21-1 = [19, 1; 29, 1; 71, 1; 421, 1; 32719, 1; 460951, 1
20^21+1 = [3, 2; 7, 2; 43, 1; 127, 1; 827, 1; 10529, 1; 2750161, 1
14^24+1 = [17, 1; 5393, 1; 16097, 1; 19489, 1; 722833, 1
18^22+1 = [5, 2; 13, 1; 89, 1; 55547468813, 1
21^21-1 = [2, 2; 5, 1; 43, 1; 463, 1; 631, 1; 3319, 1; 4789, 1; 6427, 1
21^21+1 = [2, 1; 11, 1; 337, 1; 421, 1; 81867661, 1
13^25-1 = [2, 2; 3, 1; 701, 1; 9851, 1; 30941, 1
13^25+1 = [2, 1; 7, 1; 11, 1; 101, 1; 2411, 1; 57751, 1
19^22+1 = [2, 1; 181, 1; 774797, 1
15^24+1 = [2, 1; 3169, 1; 7121, 1; 179953, 1; 1659649, 1
17^23-1 = [2, 4; 47, 1
17^23+1 = [2, 1; 3, 2
20^22+1 = [89, 1; 401, 1; 170770770413, 1
14^25-1 = [11, 1; 13, 1; 3761, 1; 110256001, 1
14^25+1 = [3, 1; 5, 3; 71, 1; 101, 1; 401, 1; 4001, 1
18^23-1 = [17, 1; 47, 1; 599, 1; 7468009, 1
18^23+1 = [19, 1
13^26+1 = [2, 1; 5, 1; 17, 1; 380329, 1
21^22+1 = [2, 1; 13, 1; 17, 1; 89, 1; 661, 1
15^25-1 = [2, 1; 7, 1; 11, 1; 4931, 1; 46751, 1
15^25+1 = [2, 4; 31, 1; 1531, 1; 9555151, 1
19^23-1 = [2, 1; 3, 2; 277, 1; 2347, 1; 16497763013, 1
19^23+1 = [2, 2; 5, 1; 47, 1; 691, 1; 2531, 1
17^24+1 = [2, 1; 18913, 1; 184417, 1
22^22+1 = [5, 1; 97, 1; 9617835527609, 1
14^26+1 = [53, 1; 197, 1; 178616881, 1
20^23-1 = [19, 1; 691, 1; 1381, 1
20^23+1 = [3, 1; 7, 1; 47, 1; 461, 1; 563041, 1
13^27-1 = [2, 2; 3, 4; 61, 1; 650971, 1; 1609669, 1
13^27+1 = [2, 1; 7, 1; 19, 1; 157, 1; 163, 1; 271, 1; 937, 1; 904663, 1
18^24+1 = [97, 1; 1153, 1; 2474209, 1; 113607841, 1
21^23-1 = [2, 2; 5, 1; 47, 1; 19597, 1
21^23+1 = [2, 1; 11, 1; 277, 1; 461, 1; 599, 1; 691, 1
15^26+1 = [2, 1; 113, 1; 11909, 1; 16433, 1; 18617, 1; 30313817, 1
19^24+1 = [2, 1; 241, 1; 577, 1; 1009, 1; 4657, 1; 14929, 1; 15073, 1; 29569, 1
17^25-1 = [2, 4; 2551, 1; 5351, 1; 88741, 1; 26278001, 1
17^25+1 = [2, 1; 3, 2; 11, 1; 71, 1; 101, 1
22^23-1 = [3, 1; 7, 1; 4463, 1; 1323064018651, 1
22^23+1 = [23, 2; 47, 1; 461, 1; 1381, 1; 1933, 1
14^27-1 = [13, 1; 211, 1; 397, 1; 18973, 1; 1427145211, 1
14^27+1 = [3, 4; 5, 1; 19, 1; 61, 1; 132049, 1; 1177426963, 1
13^28+1 = [2, 1; 113, 1; 14281, 1
20^24+1 = [17, 1; 675796129, 1; 1505882353, 1
23^23-1 = [2, 1; 11, 1; 461, 1; 1289, 1; 831603031789, 1
23^23+1 = [2, 3; 3, 1; 47, 1; 139, 1; 1013, 1; 1641281, 1; 52626071, 1
18^25-1 = [17, 1; 41, 1; 2711, 1; 602401, 1
18^25+1 = [11, 1; 19, 1; 9041, 1; 738851, 1
21^24+1 = [2, 1; 193, 1; 433, 1; 673, 1; 62897, 1; 300673, 1; 1001713, 1
15^27-1 = [2, 1; 7, 1; 109, 1; 241, 1; 541, 1; 21061, 1; 16354441, 1
15^27+1 = [2, 4; 19, 1; 211, 1; 739, 1; 811, 1
19^25-1 = [2, 1; 3, 2; 101, 1; 151, 1; 911, 1; 1601, 1; 6451, 1
19^25+1 = [2, 2; 5, 3; 11, 1; 2251, 1; 79151, 1; 127051, 1
17^26+1 = [2, 1; 5, 1; 29, 1; 19825313, 1; 1224199237, 1
14^28+1 = [41, 1; 937, 1; 1009, 1; 774929, 1
22^24+1 = [17, 1; 241, 1; 940993, 1; 3227992561, 1
13^29-1 = [2, 2; 3, 1; 1973, 1; 2843, 1; 3539, 1
13^29+1 = [2, 1; 7, 1; 59, 1; 1741, 1; 8546789918171, 1
20^25-1 = [11, 1; 19, 1; 61, 1; 151, 1; 251, 1; 1451, 1; 1369801, 1; 7466201, 1
20^25+1 = [3, 1; 7, 1; 101, 1; 152381, 1
18^26+1 = [5, 2; 13, 2; 53, 1; 21997, 1; 5601346141, 1
23^24+1 = [2, 1; 17, 1; 3697, 1; 623009, 1; 12682129, 1
15^28+1 = [2, 1; 17, 1; 1489, 1; 766028506097, 1
21^25-1 = [2, 2; 5, 3; 40841, 1; 2031851, 1
21^25+1 = [2, 1; 11, 1; 101, 1; 185641, 1; 11093851, 1
24^24+1 = [17, 1; 2801, 1; 33409, 1; 2311681, 1; 13308961, 1
17^27-1 = [2, 4; 19, 1; 307, 1; 433, 1; 24733, 1; 1270657, 1
17^27+1 = [2, 1; 3, 5; 7, 1; 13, 1; 163, 1; 1423, 1; 5653, 1
14^29-1 = [13, 1; 13109, 1; 25581350023, 1
14^29+1 = [3, 1; 5, 1; 59, 1; 114221024581, 1
19^26+1 = [2, 1; 53, 1; 181, 1
13^30+1 = [2, 1; 5, 2; 17, 1; 421, 1; 601, 1; 641, 1; 28393, 1; 460655521, 1
22^25-1 = [3, 1; 7, 1; 245411, 1
22^25+1 = [23, 1; 101, 1; 154001, 1; 224071, 1; 727351, 1
20^26+1 = [53, 1; 401, 1; 502321, 1
18^27-1 = [7, 3; 17, 1; 991, 1; 23761, 1; 34327, 1; 253369, 1; 1464049, 1
18^27+1 = [19, 1; 73, 1; 307, 1; 465841, 1; 31865908033, 1
23^25-1 = [2, 1; 11, 1; 6551, 1; 292561, 1
23^25+1 = [2, 3; 3, 1; 31, 1; 41, 1; 101, 1; 211, 1; 56951, 1; 1068701, 1
15^29-1 = [2, 1; 7, 1; 59, 1
15^29+1 = [2, 4
21^26+1 = [2, 1; 13, 2; 17, 1; 53, 1; 32969, 1; 101089, 1
14^30+1 = [37, 1; 197, 1; 1033, 1; 1061, 1; 1383881, 1
17^28+1 = [2, 1; 2801, 1; 15121, 1; 41761, 1; 12876020081, 1
24^25-1 = [23, 1; 101, 1; 346201, 1; 1661037601, 1
24^25+1 = [5, 4; 11, 1; 151, 1; 5791, 1; 7951, 1; 86501, 1; 46739551, 1
19^27-1 = [2, 1; 3, 5; 127, 1; 487, 1; 523, 1; 29989, 1; 216919, 1; 907471, 1
19^27+1 = [2, 2; 5, 1; 7, 3; 199, 1; 41203, 1; 236377, 1; 2522827, 1
13^31-1 = [2, 2; 3, 1; 311, 1; 1117, 1
13^31+1 = [2, 1; 7, 1; 373, 1; 2729, 1; 145831193, 1
22^26+1 = [5, 1; 53, 1; 97, 1; 498733, 1; 2468996151857, 1
20^27-1 = [19, 1; 421, 1; 64008001, 1; 879338701, 1
20^27+1 = [3, 4; 7, 1; 109, 1; 127, 1; 307, 1; 4483, 1; 69481, 1; 99672121, 1
18^28+1 = [113, 1; 929, 1; 3697, 1
15^30+1 = [2, 1; 13, 1; 113, 1; 3877, 1; 19421, 1; 33601, 1; 131381, 1; 278041, 1
23^26+1 = [2, 1; 5, 1; 53, 1; 157, 1; 2861561, 1; 278640181, 1
14^31-1 = [13, 1
14^31+1 = [3, 1; 5, 1; 1613, 1; 3163, 1; 168269, 1; 7476844183, 1
13^32+1 = [2, 1; 193, 1; 1601, 1; 10433, 1
17^29-1 = [2, 4; 59, 1; 7193, 1; 6088087, 1
17^29+1 = [2, 1; 3, 2; 349, 1; 23549, 1; 2919779, 1; 18032534719, 1
21^27-1 = [2, 2; 5, 1; 109, 1; 163, 1; 463, 1; 4779433, 1; 85775383, 1
21^27+1 = [2, 1; 11, 1; 19, 1; 37, 1; 199, 1; 421, 1; 613, 1; 5077, 1; 17497, 1
19^28+1 = [2, 1; 17, 1; 3833, 1
24^26+1 = [577, 1; 20749, 1; 30030953107741, 1
22^27-1 = [3, 4; 7, 1; 13, 2; 109, 1; 127, 1; 163, 1; 433, 1; 297613, 1; 2558953, 1
22^27+1 = [19, 1; 23, 1; 463, 1; 3187, 1; 144667, 1; 1066231, 1; 5966803, 1
18^29-1 = [17, 1; 1505548068007783, 1
18^29+1 = [19, 1; 59, 1
20^28+1 = [617, 1; 1009, 1; 28393, 1; 160001, 1; 5417928377, 1
15^31-1 = [2, 1; 7, 1; 311, 1
15^31+1 = [2, 4; 958459, 1; 12871001296201, 1
14^32+1 = [7489, 1; 1204905857, 1; 1667461121, 1
13^33-1 = [2, 2; 3, 2; 23, 1; 61, 1; 419, 1; 859, 1; 18041, 1
13^33+1 = [2, 1; 7, 1; 67, 1; 157, 1; 331, 1; 1123, 1; 6997, 1; 122167, 1; 960961, 1
23^27-1 = [2, 1; 7, 1; 11, 1; 19, 1; 79, 1; 4591, 1; 7792003, 1; 15785281, 1
23^27+1 = [2, 3; 3, 4; 13, 2; 163, 1; 271, 1; 1117, 1
26^26+1 = [53, 1; 677, 1; 468363169, 1; 546547769, 1
17^30+1 = [2, 1; 5, 2; 29, 1; 61, 1; 541, 1; 21881, 1; 63541, 1; 83233, 1
21^28+1 = [2, 1; 617, 1; 97241, 1; 912521, 1; 115593326297, 1
19^29-1 = [2, 1; 3, 2; 59, 1; 233, 1; 297003021451861, 1
19^29+1 = [2, 2; 5, 1; 106373, 1; 670650007983077, 1
24^27-1 = [19, 1; 23, 1; 379, 1; 601, 1; 2017, 1; 2377, 1; 4987, 1; 2400571, 1
24^27+1 = [5, 2; 7, 1; 79, 1; 127, 1; 199, 1; 7561, 1
22^28+1 = [73, 1; 113, 1; 3209, 1; 3096409, 1
15^32+1 = [2, 1; 2689, 1; 1391359510721, 1
18^30+1 = [5, 3; 13, 1; 61, 1; 229, 1; 457, 1; 15101, 1; 15121, 1; 16921, 1; 145501, 1
20^29-1 = [19, 1; 59, 1; 929, 1; 10789, 1; 143609, 1; 466307299, 1
20^29+1 = [3, 1; 7, 1; 1741, 1; 10940140435272203, 1
14^33-1 = [13, 1; 67, 1; 211, 1; 4027, 1; 1154539, 1
14^33+1 = [3, 2; 5, 1; 23, 1; 61, 1; 424262851, 1; 11737870057, 1
13^34+1 = [2, 1; 5, 1; 17, 2; 1021, 1; 897329, 1; 61165661, 1; 75094577, 1
23^28+1 = [2, 1; 139921, 1
17^31-1 = [2, 4; 4093, 1; 6123493, 1
17^31+1 = [2, 1; 3, 2; 373, 1; 36845423, 1
26^27-1 = [5, 2; 19, 1; 37, 1; 109, 1; 433, 1; 308933353, 1; 7050697273, 1
26^27+1 = [3, 6; 7, 1; 31, 1; 1567, 1; 102966067, 1
21^29-1 = [2, 2; 5, 1; 59, 1; 1103704099, 1; 246763300513, 1
21^29+1 = [2, 1; 11, 1; 1277, 1
19^30+1 = [2, 1; 13, 2; 181, 1; 769, 1; 171434401, 1; 16936647121, 1
24^28+1 = [331777, 1; 8006209, 1
15^33-1 = [2, 1; 7, 1; 67, 1; 241, 1; 463, 1; 2333, 1; 8537, 1; 62475406423, 1
15^33+1 = [2, 4; 23, 1; 211, 1; 859, 1; 3055718821, 1; 23504771357, 1
18^31-1 = [17, 1; 311, 1; 12959, 1; 1276827537047, 1
18^31+1 = [19, 1; 1427, 1; 70619, 1
22^29-1 = [3, 1; 7, 1; 59, 1; 88987603, 1; 120593021, 1
22^29+1 = [23, 1; 428041, 1; 2283673499, 1; 15141642169, 1
14^34+1 = [197, 1; 2857, 1; 2774129, 1; 1253535423961, 1
13^35-1 = [2, 2; 3, 1; 211, 1; 30941, 1; 5229043, 1; 3357897971, 1
13^35+1 = [2, 1; 7, 2; 11, 1; 29, 1; 71, 1; 2411, 1; 22079, 1; 654221, 1; 759641, 1
20^30+1 = [13, 1; 41, 1; 401, 1; 2801, 1; 12277, 1; 71161, 1; 222361, 1; 55191001, 1
17^32+1 = [2, 1; 1409, 1; 165569, 1
23^29-1 = [2, 1; 11, 1; 233, 1; 1741, 1; 85087, 1; 11410109, 1
23^29+1 = [2, 3; 3, 1; 59, 1; 1075983677123, 1
26^28+1 = [17, 1; 113, 1; 26881, 1; 748217, 1; 16947835297, 1
19^31-1 = [2, 1; 3, 2
19^31+1 = [2, 2; 5, 1; 1503075053, 1; 14345411368517, 1
21^30+1 = [2, 1; 13, 1; 17, 1; 41, 1; 61, 1; 3181, 1; 1360861, 1; 920421641, 1
15^34+1 = [2, 1; 113, 1; 29173, 1; 712573, 1; 3395062589, 1
24^29-1 = [23, 1; 1973, 1; 10151, 1; 1130131, 1
24^29+1 = [5, 2; 59, 1; 1451, 1
13^36+1 = [2, 1; 73, 1; 4177, 1; 14281, 1; 181297, 1; 815702161, 1
14^35-1 = [11, 1; 13, 1; 3761, 1; 8108731, 1
14^35+1 = [3, 1; 5, 2; 71, 1; 101, 1; 2985431, 1; 7027567, 1
18^32+1 = [254209, 1; 475777, 1
22^30+1 = [5, 2; 97, 1; 157, 1; 181, 1; 401, 1; 1489, 1; 150901, 1; 468241, 1
20^31-1 = [19, 1; 311, 1; 11161, 1; 1646101, 1; 340037881769, 1
20^31+1 = [3, 1; 7, 1; 40487, 1; 75269, 1
28^28+1 = [449, 1; 23633, 1; 614657, 1; 54034289, 1; 213827041, 1
17^33-1 = [2, 4; 67, 1; 307, 1; 3697, 1; 976669, 1; 2141993519227, 1
17^33+1 = [2, 1; 3, 3; 7, 1; 13, 1; 23, 1; 199, 1; 947, 1; 991, 1; 48973, 1; 11372329, 1; 39172453, 1
23^30+1 = [2, 1; 5, 2; 37, 1; 53, 1; 61, 1; 941, 1; 7549, 1; 79561, 1; 272341, 1; 229533481, 1
19^32+1 = [2, 1; 151681, 1
21^31-1 = [2, 2; 5, 1; 4540713283, 1; 3936833990413, 1
21^31+1 = [2, 1; 11, 1; 78059, 1
26^29-1 = [5, 2; 59, 1
26^29+1 = [3, 3; 93878453, 1; 2593018849727, 1
15^35-1 = [2, 1; 7, 2; 11, 1; 71, 1; 4931, 1; 1743463, 1; 4167731, 1
15^35+1 = [2, 4; 31, 1; 1531, 1; 10678711, 1; 497638891, 1
13^37-1 = [2, 2; 3, 1; 1481, 1; 67495678093, 1; 4287755796749, 1
13^37+1 = [2, 1; 7, 1; 223, 1; 21017, 1; 152219, 1; 1548921490187, 1
14^36+1 = [41, 1; 73, 1; 937, 1; 1475750641, 1
24^30+1 = [13, 1; 61, 1; 73, 1; 349, 1; 577, 1; 182701, 1; 366001, 1; 1801385941, 1
18^33-1 = [7, 3; 17, 1; 23, 1; 199, 1; 16127, 1; 51217, 1
18^33+1 = [19, 1; 67, 1; 307, 1; 25939, 1; 536801, 1; 6301307, 1
22^31-1 = [3, 1; 7, 1; 3592159411, 1
22^31+1 = [23, 1; 373, 1; 24368768938283491, 1
20^32+1 = [193, 1; 577, 1; 641, 1
17^34+1 = [2, 1; 5, 1; 29, 1; 137, 1; 1361, 1; 2698649, 1; 1002402000793, 1
28^29-1 = [3, 3; 59, 1
28^29+1 = [29, 2; 40427, 1; 1074509, 1
19^33-1 = [2, 1; 3, 3; 67, 1; 127, 1; 2113, 1; 104281, 1; 34451077, 1; 62060021, 1
19^33+1 = [2, 2; 5, 1; 7, 3; 23, 1; 859, 1; 489061, 1; 519553, 1; 181258778383, 1
23^31-1 = [2, 1; 11, 1; 40888990028603, 1
23^31+1 = [2, 3; 3, 1; 8086847, 1; 2313675671730419, 1
21^32+1 = [2, 1
13^38+1 = [2, 1; 5, 1; 17, 1; 229, 1; 94621, 1
15^36+1 = [2, 1; 17, 1; 73, 1; 1489, 1; 24481, 1; 964764793, 1; 2562840001, 1
14^37-1 = [13, 1; 223, 1; 141405986837, 1
14^37+1 = [3, 1; 5, 1; 283051, 1; 118918748615980063, 1
29^29-1 = [2, 2; 7, 1; 59, 1; 16763, 1; 84449, 1; 2428577, 1; 14111459, 1; 58320973, 1
29^29+1 = [2, 1; 3, 1; 5, 1; 233, 1; 6864997, 1; 9487923853, 1
26^30+1 = [61, 1; 181, 1; 677, 1; 2521, 1; 170101, 1; 208518605101, 1
18^34+1 = [5, 2; 13, 1; 1429, 1; 6257, 1; 20786377, 1; 1292838509, 1
24^31-1 = [23, 1; 311, 1; 1613, 1; 9859, 1; 35279, 1; 39619, 1; 4045774723, 1
24^31+1 = [5, 2; 9289629982951807, 1
20^33-1 = [19, 1; 421, 1; 661, 1; 859, 1; 10778947368421, 1
20^33+1 = [3, 2; 7, 1; 23, 1; 67, 1; 127, 1; 38149, 1; 3049927, 1; 424016563147, 1
22^32+1 = [257, 1; 29571562823949828673, 1
17^35-1 = [2, 4; 88741, 1; 966211, 1; 21998621, 1; 25646167, 1
17^35+1 = [2, 1; 3, 2; 11, 1; 71, 1; 101, 1; 701, 1; 22796593, 1
28^30+1 = [5, 2; 13, 1; 61, 1; 157, 1; 1861, 1; 14561, 1; 45541, 1; 47221, 1; 84961, 1; 2449561, 1
13^39-1 = [2, 2; 3, 2; 53, 1; 61, 1; 79, 1; 1093, 1; 4603, 1; 21841, 1; 264031, 1; 1803647, 1
13^39+1 = [2, 1; 7, 1; 157, 1; 13417, 1; 20333, 1; 79301, 1
19^34+1 = [2, 1; 137, 2; 181, 1; 3084256577008769, 1
15^37-1 = [2, 1; 7, 1; 223, 1; 4441, 1; 32217011, 1; 2474070455887, 1
15^37+1 = [2, 4; 593, 1; 5928049943, 1
14^38+1 = [197, 1; 5363068468501, 1
23^32+1 = [2, 1; 257, 1
21^33-1 = [2, 2; 5, 1; 67, 1; 463, 1; 17513875027111, 1
21^33+1 = [2, 1; 11, 2; 23, 1; 421, 1; 3499, 1; 6073, 1; 28513, 1; 33199, 1; 10362529, 1
26^31-1 = [5, 2; 675574105122751103, 1
26^31+1 = [3, 3; 5147, 1; 15240792631413977, 1
29^30+1 = [2, 1; 37, 1; 61, 1; 313, 1; 421, 1; 541, 1; 1061, 1; 111855481, 1; 470925821, 1
18^35-1 = [17, 1; 41, 1; 71, 1; 449, 1; 2711, 1; 80207, 1; 4274201, 1
18^35+1 = [11, 1; 19, 1; 211, 1; 9041, 1; 117251, 1; 3052211, 1; 4179001, 1; 32222107, 1
24^32+1 = [449, 1; 12234999233, 1; 1377485825682881, 1
20^34+1 = [401, 1; 629433157137881, 1
17^36+1 = [2, 1; 73, 1; 1321, 1; 41761, 1; 72337, 1; 28639368230833, 1
22^33-1 = [3, 2; 7, 1; 13, 2; 67, 1; 353, 1; 121758187, 1; 1176469537, 1
22^33+1 = [23, 1; 89, 1; 463, 1; 9967, 1; 285451051007, 1
30^30+1 = [17, 1; 53, 1; 61, 1; 181, 1; 54121, 1; 421381, 1; 809101, 1; 4234801, 1; 12109381, 1
13^40+1 = [2, 1; 407865361, 1
15^38+1 = [2, 1; 113, 1; 26297, 1; 18434831466377, 1
14^39-1 = [13, 2; 157, 1; 211, 1; 761437, 1; 29914249171, 1
14^39+1 = [3, 2; 5, 1; 61, 1; 79, 1; 911, 1; 7307, 1; 40639, 1; 100621, 1
19^35-1 = [2, 1; 3, 2; 71, 1; 151, 1; 701, 1; 911, 1; 70841, 1
19^35+1 = [2, 2; 5, 2; 11, 1; 197, 1; 2251, 1; 226871, 1
28^31-1 = [3, 3; 10789, 1; 1675799, 1; 14307617, 1
28^31+1 = [29, 1; 1303, 1; 68690971367, 1
23^33-1 = [2, 1; 7, 1; 11, 2; 67, 1; 79, 1; 27919, 1; 23130823, 1; 3937230404603, 1
23^33+1 = [2, 3; 3, 2; 13, 2; 331, 1; 6073, 1; 39700406579747, 1
21^34+1 = [2, 1; 13, 1; 17, 2; 300293033, 1
18^36+1 = [113, 1; 929, 1; 11019855601, 1
26^32+1 = [128134849, 1; 1359389633857, 1
29^31-1 = [2, 2; 7, 1; 36767, 1; 15294622838198819, 1
29^31+1 = [2, 1; 3, 1; 5, 1; 3697433, 1; 192554086217, 1
17^37-1 = [2, 4; 149, 1; 223, 1; 1016919604559540581, 1
17^37+1 = [2, 1; 3, 2; 1481, 1; 2591, 1; 172683287783, 1
20^35-1 = [11, 1; 19, 1; 29, 1; 61, 1; 71, 1; 251, 1; 491, 1; 701, 1; 911, 1; 23311, 1; 32719, 1; 164011, 1
20^35+1 = [3, 1; 7, 2; 827, 1; 10529, 1; 17921, 1; 152381, 1; 7003781, 1; 31585261, 1
24^33-1 = [23, 1; 67, 1; 601, 1; 7349, 1; 134367047, 1; 690674662129, 1
24^33+1 = [5, 2; 7, 1; 79, 1; 991, 1; 9241, 1; 126127, 1; 60867245726761, 1
22^34+1 = [5, 1; 97, 1; 108461, 1
13^41-1 = [2, 2; 3, 1; 6740847065723, 1
13^41+1 = [2, 1; 7, 1; 83, 1; 638453, 1; 140299545168523469, 1
30^31-1 = [29, 1; 373, 1; 1085423538431, 1
30^31+1 = [31, 2; 4093, 1; 19469, 1; 48733, 1; 116189, 1; 139086132517, 1
14^40+1 = [17, 1; 4241, 1; 5393, 1; 16097, 1; 825039041, 1
15^39-1 = [2, 1; 7, 1; 53, 1; 241, 1; 1249, 1; 20749, 1; 157483, 1; 16655159, 1
15^39+1 = [2, 4; 79, 1; 211, 1; 5557501, 1; 1539711288259, 1
19^36+1 = [2, 1; 17, 1; 3833, 1; 4297, 1; 24841, 1; 3952393, 1
31^31-1 = [2, 1; 3, 1; 5, 1
31^31+1 = [2, 5; 373, 1; 1613, 1; 62869, 1; 145577, 1; 35789156484227, 1
21^35-1 = [2, 2; 5, 2; 43, 1; 631, 1; 1471, 1; 3319, 1; 40841, 1; 4149601, 1; 20028751, 1
21^35+1 = [2, 1; 11, 1; 71, 1; 140351, 1; 185641, 1; 78555121, 1; 81867661, 1
23^34+1 = [2, 1; 5, 1; 53, 1; 6121, 1; 246160726106632349, 1
28^32+1 = [7734913, 1; 13430849, 1; 2716827163186049, 1
18^37-1 = [17, 1; 157991, 1
18^37+1 = [19, 1; 1259, 1
26^33-1 = [5, 2; 19, 1; 23, 1; 37, 1; 67, 1; 65539, 1; 97395563, 1; 639024871, 1
26^33+1 = [3, 4; 7, 1; 31, 1; 16567, 1; 135938684703251, 1
17^38+1 = [2, 1; 5, 1; 29, 1; 247381, 1
13^42+1 = [2, 1; 5, 1; 17, 1; 673, 1; 2857, 1; 4621, 1; 28393, 1; 23161037562937, 1
29^32+1 = [2, 1; 193, 1; 63354497, 1
20^36+1 = [73, 1; 31177, 1; 160001, 1; 821113, 1; 4468393, 1
24^34+1 = [577, 1; 613, 1; 391273, 1; 7409898733, 1
22^35-1 = [3, 1; 7, 2; 245411, 1; 16968421, 1; 57036911, 1
22^35+1 = [23, 1; 29, 1; 43, 1; 71, 1; 86969, 1; 224071, 1; 882701, 1; 108635136821, 1
14^41-1 = [13, 1
14^41+1 = [3, 1; 5, 1; 83, 1; 5167, 1; 86501473, 1; 95263009, 1
15^40+1 = [2, 1; 1361, 1; 7121, 1; 179953, 1; 13535373521, 1
30^32+1 = Mat([185302018885184100000000000000000000000000000001, 1])
19^37-1 = [2, 1; 3, 2; 149, 1; 3588174588084451, 1
19^37+1 = [2, 2; 5, 1
21^36+1 = [2, 1; 73, 1; 97241, 1; 816769, 1; 518118697, 1; 808208209, 1
23^35-1 = [2, 1; 11, 1; 29, 1; 292561, 1; 5336717, 1; 15716677201, 1
23^35+1 = [2, 3; 3, 1; 31, 1; 41, 1; 71, 1; 211, 1; 673, 1; 2969, 1; 52291, 1; 12968551, 1; 6696671101, 1
18^38+1 = [5, 2; 13, 1; 60497, 1; 269117, 1; 74792209, 1; 6261053129, 1
31^32+1 = [2, 1; 4801, 1
28^33-1 = [3, 4; 199, 1; 271, 1; 6077039, 1; 50545507, 1
28^33+1 = [23, 2; 29, 1; 67, 1; 757, 1; 2377, 1; 365773, 1; 212170597, 1; 7351568071, 1
13^43-1 = [2, 2; 3, 1; 119627, 1
13^43+1 = [2, 1; 7, 1; 173, 1; 12566837, 1; 8001003293, 1; 346982008721, 1
17^39-1 = [2, 4; 157, 1; 307, 1; 212057, 1; 2919196853, 1
17^39+1 = [2, 1; 3, 3; 7, 1; 13, 2; 53, 1; 79, 1; 1249, 1; 65651, 1; 2001793, 1; 1837708051687, 1
26^34+1 = [677, 1; 83041563757, 1; 7702754097061, 1
14^42+1 = [29, 2; 37, 1; 113, 1; 197, 1; 1033, 1; 1597, 1; 3361, 1; 10333, 1; 176597, 1; 12471556693, 1
20^37-1 = [19, 1; 65269, 1; 2889957151, 1
20^37+1 = [3, 1; 7, 1; 149, 1; 368447, 1; 9609038940231949, 1
15^41-1 = [2, 1; 7, 1; 8430332222527, 1
15^41+1 = [2, 4; 83, 1
29^33-1 = [2, 2; 7, 1; 13, 1; 23, 1; 67, 1; 17607980281, 1; 18944890940537, 1
29^33+1 = [2, 1; 3, 2; 5, 1; 271, 1; 661, 1; 727, 1; 632743, 1; 5618383, 1; 72384467, 1; 163097089, 1
24^35-1 = [23, 1; 29, 1; 71, 1; 239, 1; 28771, 1; 346201, 1; 1892603411161, 1
24^35+1 = [5, 3; 11, 1; 5791, 1; 183458857, 1
22^36+1 = [73, 1; 2161, 1; 3209, 1; 191353, 1; 286777, 1; 514642753, 1
19^38+1 = [2, 1; 181, 1; 1217, 1
30^33-1 = [7, 2; 19, 1; 29, 1; 460087, 1; 5829525967, 1; 125673792020899, 1
30^33+1 = [13, 1; 23, 1; 31, 1; 67, 1; 397, 1; 88793, 1; 11275111, 1; 279811489, 1
21^37-1 = [2, 2; 5, 1; 31081, 1; 1681762703, 1
21^37+1 = [2, 1; 11, 1
18^39-1 = [7, 3; 17, 1; 79, 1; 521, 1; 7424759473, 1; 29759719289, 1
18^39+1 = [19, 1; 131, 1; 307, 1; 2081, 1; 4020180841, 1
13^44+1 = [2, 1; 89, 1; 6073, 1; 14281, 1
23^36+1 = [2, 1; 937, 1; 1153, 1; 139921, 1; 2968201, 1; 83575993, 1; 20521396873, 1
28^34+1 = [5, 1; 137, 1; 157, 1; 33049, 1
31^33-1 = [2, 1; 3, 2; 5, 1; 23, 1; 331, 1; 397, 1; 617, 1; 150332843, 1
31^33+1 = [2, 5; 7, 2; 19, 1; 67, 1; 297991, 1; 757241, 1; 1048563011, 1
17^40+1 = [2, 1; 241, 1; 18913, 1; 184417, 1; 3583912721, 1
14^43-1 = [13, 1; 173, 1
14^43+1 = [3, 1; 5, 1; 68138548314176704687, 1
15^42+1 = [2, 1; 13, 1; 29, 1; 113, 1; 3361, 1; 3877, 1; 327517, 1; 4454215139669, 1
20^38+1 = [401, 1; 362478049, 1; 2622927733, 1
26^35-1 = [5, 3; 11, 1; 8641, 1; 14561, 1; 321272407, 1; 9593937086651, 1
26^35+1 = [3, 3; 71, 2; 431, 1; 1021, 1; 2731, 1; 59011, 1
22^37-1 = [3, 1; 7, 1; 310727, 1; 1886989139768881, 1
22^37+1 = [23, 1; 149, 1; 2221, 1; 48397, 1; 9748223441962188353, 1
24^36+1 = [97, 1; 114769, 1; 331777, 1; 1134793633, 1
29^34+1 = [2, 1; 421, 1; 354553, 1
19^39-1 = [2, 1; 3, 3; 79, 1; 127, 1; 157, 1; 599, 1; 29251, 1; 133338869, 1; 887960971, 1
19^39+1 = [2, 2; 5, 1; 7, 3; 131, 1; 313, 1; 2341, 1; 176021, 1; 291331, 1
33^33-1 = [2, 5; 67, 1; 1123, 1; 2113, 1; 90619, 1; 91402147, 1; 747487377451, 1
33^33+1 = [2, 1; 7, 1; 17, 1; 23, 1; 151, 1; 661, 1; 1871, 1; 2705341, 1; 658526221, 1; 34544013769, 1
13^45-1 = [2, 2; 3, 3; 61, 1; 181, 1; 4651, 1; 30941, 1; 161971, 1; 1609669, 1
13^45+1 = [2, 1; 7, 1; 11, 1; 19, 1; 31, 1; 157, 1; 271, 1; 937, 1; 2251, 1; 2411, 1; 12601, 1; 28325071, 1
18^40+1 = [97, 1; 641, 1; 113607841, 1
30^34+1 = [17, 2; 53, 1; 137, 1; 8093, 1; 404569958213, 1; 1727160261481, 1
21^38+1 = [2, 1; 13, 1; 17, 1; 229, 1; 457, 1
23^37-1 = [2, 1; 11, 1; 1925658337781, 1
23^37+1 = [2, 3; 3, 1; 593, 1; 10445744467953088708693, 1
14^44+1 = [41, 1; 89, 1; 937, 1; 3697, 1; 2211409011924781241, 1
17^41-1 = [2, 4; 83, 1; 892079, 1; 13365673, 1; 960217114820653, 1
17^41+1 = [2, 1; 3, 2; 1231, 1; 62919257, 1; 18798033503, 1; 76203249126187, 1
15^43-1 = [2, 1; 7, 1
15^43+1 = [2, 4; 173, 1; 39205337, 1; 5519984993, 1; 16112471507273, 1
28^35-1 = [3, 3; 113, 1; 2521, 1; 206501, 1; 637421, 1; 4422461, 1
28^35+1 = [11, 1; 29, 1; 71, 1; 211, 1; 13007, 1; 35771, 1; 53951, 1; 59221, 1; 31384274881, 1
31^34+1 = [2, 1; 13, 1; 37, 1; 1399577, 1; 224499664484159761, 1
20^39-1 = [19, 1; 79, 1; 421, 1; 1171, 1; 3121, 1; 142559, 1; 9690539, 1
20^39+1 = [3, 2; 7, 1; 127, 1; 2081, 1; 2549, 1; 1340743, 1; 571945141, 1; 735408649, 1
26^36+1 = [17, 1; 73, 1; 26881, 1; 1586737, 1; 208826607601, 1; 2253596398489, 1
22^38+1 = [5, 1; 97, 1; 229, 1; 4789, 1; 654963203993173, 1
24^37-1 = [23, 1; 3701, 1; 48844975391, 1
24^37+1 = [5, 2; 149, 1; 724609, 1; 3487604250233977, 1
19^40+1 = [2, 1; 15073, 1; 563377, 1; 2772481, 1
29^35-1 = [2, 2; 7, 2; 71, 1; 732541, 1; 88009573, 1; 14222677166671, 1
29^35+1 = [2, 1; 3, 1; 5, 2; 11, 1; 31, 1; 281, 1; 401, 1; 141961, 1; 574995877, 1; 181767795581, 1
13^46+1 = [2, 1; 5, 1; 17, 1; 461, 1; 160081, 1; 159686609, 1; 1445443990517, 1
18^41-1 = [17, 1; 3811279, 1; 114341047, 1
18^41+1 = [19, 1; 83, 1; 168347, 1; 4354359491, 1; 24997711153, 1
21^39-1 = [2, 2; 5, 1; 79, 1; 463, 1; 547, 1; 1171, 1; 189437, 1; 516094151, 1
21^39+1 = [2, 1; 11, 1; 421, 1; 11701, 1; 629773, 1; 7021471715414521, 1
14^45-1 = [11, 1; 13, 1; 31, 1; 181, 1; 211, 1; 397, 1; 1171, 1; 2851, 1; 3761, 1; 15511, 1; 18973, 1; 302581, 1
14^45+1 = [3, 3; 5, 2; 19, 1; 61, 1; 71, 1; 101, 1; 811, 1; 132049, 1; 1948981, 1; 4020031, 1
33^34+1 = [2, 1; 5, 1; 109, 1; 130969, 1; 107201746410049, 1
17^42+1 = [2, 1; 5, 1; 29, 1; 1093, 1; 83233, 1; 5766433, 1; 100688449, 1
30^35-1 = [29, 1; 71, 1; 113, 1; 93997, 1; 167021, 1; 837931, 1; 1618891, 1; 73276901251, 1
30^35+1 = [11, 1; 31, 1; 631, 1; 44171, 1; 71261, 1; 1118041, 1; 1929481, 1; 1825230961, 1
23^38+1 = [2, 1; 5, 1; 53, 1; 761, 1; 1901, 1; 111236869, 1; 60848703597029, 1
15^44+1 = [2, 1; 17, 1; 89, 1; 1489, 1
20^40+1 = [17, 1; 76001, 1; 1505882353, 1; 32018865275041, 1
34^34+1 = [13, 1; 89, 1; 6009977, 1; 35794249, 1; 5397131237, 1
28^36+1 = [73, 1; 7129, 1; 7321, 1; 614657, 1; 51605161, 1; 343785529, 1
31^35-1 = [2, 1; 3, 1; 5, 2; 11, 1; 17351, 1; 319061, 1; 203633641, 1; 917087137, 1
31^35+1 = [2, 5; 41, 1; 71, 1; 11971, 1; 21821, 1; 71821, 1; 149269961, 1
26^37-1 = [5, 2; 1259, 1; 61504361, 1; 934196338628717, 1
26^37+1 = [3, 3; 149, 1; 223, 1; 64399463, 1
22^39-1 = [3, 2; 7, 1; 13, 3; 79, 1; 2003, 1; 1421317, 1; 85107437663, 1
22^39+1 = [23, 1; 463, 1; 1283881, 1; 21821513533, 1; 6165936796469347, 1
13^47-1 = [2, 2; 3, 1; 183959, 1; 19216136497, 1
13^47+1 = [2, 1; 7, 1; 498851139881, 1
19^41-1 = [2, 1; 3, 2; 10654507, 1; 11713456133, 1
19^41+1 = [2, 2; 5, 1; 83, 1; 3651133, 1
24^38+1 = [577, 1; 292753, 1; 22036657, 1
29^36+1 = [2, 1; 73, 1; 9001, 1; 353641, 1; 869689, 1; 55576681, 1
18^42+1 = [5, 2; 13, 1; 29, 1; 229, 1; 337, 1; 457, 1; 1373, 1; 17837, 1; 153133, 1; 1623833, 1; 31714369, 1
14^46+1 = [197, 1; 1381, 1; 7258585231384113470369, 1
21^40+1 = [2, 1; 241, 1; 9521, 1; 62897, 1; 300673, 1; 22995281, 1; 33534961, 1; 3184193681, 1
17^43-1 = [2, 4; 1549, 1; 3075877724153666279633, 1
17^43+1 = [2, 1; 3, 2; 8171, 1; 279119267104661, 1
15^45-1 = [2, 1; 7, 1; 11, 1; 61, 1; 181, 1; 241, 1; 541, 1; 4931, 1; 21061, 1; 39225301, 1
15^45+1 = [2, 4; 19, 1; 31, 1; 211, 1; 739, 1; 811, 1; 991, 1; 1531, 1; 19231, 1; 47701, 1; 142111, 1; 2568061, 1
23^39-1 = [2, 1; 7, 1; 11, 1; 79, 1; 47691619, 1; 480393499, 1
23^39+1 = [2, 3; 3, 2; 13, 3; 859, 1; 1489531614247, 1; 21001515080686141, 1
33^35-1 = [2, 5; 31, 1; 421, 1; 39451, 1; 3163483, 1
33^35+1 = [2, 1; 17, 1; 29, 1; 71, 1; 197, 1; 3571, 1; 219409, 1; 1151041, 1; 95688881, 1; 12364839691, 1
30^36+1 = [73, 1; 241, 1; 3361, 1; 13681, 1; 203309569, 1; 8987660137, 1; 154589869729, 1
20^41-1 = [19, 1; 739, 1; 788985829969499330639, 1
20^41+1 = [3, 1; 7, 1; 83, 1; 1723, 1; 824754607, 1; 35641617587, 1
13^48+1 = [2, 1; 97, 1; 2657, 1; 88993, 1; 441281, 1; 283763713, 1; 127028743393, 1
28^37-1 = [3, 3; 149, 1; 223, 1; 1481, 1; 20129, 1; 36129368689, 1
28^37+1 = [29, 1; 1004690609843, 1
34^35-1 = [3, 1; 11, 1; 61, 1; 463, 1; 631, 1; 6791, 1; 12251, 1; 18481, 1; 22571, 1; 3437617, 1
34^35+1 = [5, 2; 7, 2; 29, 1; 71, 1; 11131, 1; 104119, 1; 259631, 1
31^36+1 = [2, 1; 73, 1; 409, 1; 1129, 1; 4683817, 1; 852890113921, 1
22^40+1 = [17, 1; 3227992561, 1; 117040234821177281, 1
19^42+1 = [2, 1; 13, 2; 29, 1; 181, 1; 769, 1; 5237, 1; 2141413, 1; 1301151937, 1; 14533200697, 1
26^38+1 = [677, 1; 25841, 1; 546289, 1; 10675257997, 1; 317715361027301, 1
24^39-1 = [23, 1; 53, 1; 601, 1; 6553, 1; 15913, 1; 39313, 1; 6895253, 1
24^39+1 = [5, 2; 7, 1; 79, 1; 131, 1; 33203, 1; 76831, 1; 104911, 1; 304977817, 1
14^47-1 = [13, 1; 659, 1; 3690629, 1; 21156769, 1; 24572071, 1
14^47+1 = [3, 1; 5, 1; 1129, 1; 1693, 1; 273065677, 1
18^43-1 = [17, 1; 431, 1; 4464951753212028068412713, 1
18^43+1 = [19, 1; 5129762401, 1; 597455435179, 1
35^35-1 = [2, 1; 17, 1; 31, 1; 43, 1; 281, 1; 49831, 1; 6469961, 1; 44007727, 1; 6662221325761, 1
35^35+1 = [2, 2; 3, 2; 11, 1; 29, 1; 71, 1; 701, 1; 5209, 1; 11831, 1; 16661, 1; 132631, 1; 2358371, 1; 7601598131, 1
15^46+1 = [2, 1; 113, 1; 277, 1; 2393, 1; 488153, 1; 132653513, 1; 40193672100977, 1
29^37-1 = [2, 2; 7, 1; 149, 1; 13913, 1; 24603599107, 1
29^37+1 = [2, 1; 3, 1; 5, 1; 1259, 1; 9769, 1; 19085335524481, 1
17^44+1 = [2, 1; 353, 1; 41761, 1; 4578289, 1
21^41-1 = [2, 2; 5, 1; 83, 1; 14122861, 1; 83218931, 1; 17222085343, 1; 914531249431, 1
21^41+1 = [2, 1; 11, 1; 1231, 1; 1766117, 1
23^40+1 = [2, 1; 17, 1; 241, 1; 3697, 1; 623009, 1; 7249841, 1; 147190628299441, 1
13^49-1 = [2, 2; 3, 1; 1667, 1; 5229043, 1; 28082195177, 1
13^49+1 = [2, 1; 7, 3; 29, 1; 22079, 1; 435709, 1; 22896329, 1; 54461639, 1
20^42+1 = [13, 1; 197, 1; 401, 1; 12277, 1; 14561, 1; 1464961, 1; 8651161, 1; 1424354653, 1
30^37-1 = [29, 1; 149, 1; 223, 1
30^37+1 = [31, 1; 1259, 1; 9473, 1; 190181, 1; 197643419, 1; 223855477, 1
33^36+1 = [2, 1; 73, 1; 97, 1; 6113, 1; 15313, 1; 251857, 1; 91844017, 1
19^43-1 = [2, 1; 3, 2; 18917672548149688895557513, 1
19^43+1 = [2, 2; 5, 1; 2753, 1; 45597803, 1; 55578787747850091391, 1
28^38+1 = [5, 1; 157, 1; 10653073, 1; 4295845129, 1; 47560093775549, 1
14^48+1 = [97, 1; 193, 1; 37633, 1; 11284732320255809, 1
22^41-1 = [3, 1; 7, 1; 1298408911, 1; 91902256249183, 1
22^41+1 = [23, 1; 83, 1; 183594641609, 1
34^36+1 = [73, 1; 1336337, 1; 1785792568561, 1; 1062752044739689, 1
31^37-1 = [2, 1; 3, 1; 5, 1; 149, 1; 4219, 1; 152597832677, 1; 257803457371, 1; 386626708057, 1
31^37+1 = [2, 5; 969963587051157584202299, 1
26^39-1 = [5, 2; 19, 1; 37, 1; 79, 1; 313, 1; 27764777, 1; 3574533119, 1
26^39+1 = [3, 4; 7, 1; 31, 1; 547, 1; 859, 1; 937, 1; 6449, 1; 38299, 1; 397073, 1; 12562993, 1
24^40+1 = [17, 1; 2801, 1; 1252721, 1; 2311681, 1
18^44+1 = [113, 1; 929, 1; 21649, 1; 36309857, 1
15^47-1 = [2, 1; 7, 1; 283, 1; 659, 1; 2351, 1; 6299, 1; 183959, 1
15^47+1 = [2, 4; 2947920462206937499, 1
17^45-1 = [2, 4; 19, 1; 307, 1; 3691, 1; 33931, 1; 88741, 1; 316531, 1; 1270657, 1; 1674271, 1; 5113320301, 1
17^45+1 = [2, 1; 3, 4; 7, 1; 11, 1; 13, 1; 31, 1; 71, 1; 101, 1; 1423, 1; 5653, 1; 238212511, 1; 2220161311, 1
21^42+1 = [2, 1; 13, 1; 17, 1; 29, 1; 61, 1; 3181, 1; 3697, 1; 18481, 1; 68454248717, 1
29^38+1 = [2, 1; 421, 1
35^36+1 = [2, 1; 433, 1; 5737, 1; 9001, 1; 750313, 1; 392517673, 1; 2420496433, 1
13^50+1 = [2, 1; 5, 3; 17, 1; 421, 1; 601, 1; 641, 1; 1253653901, 1; 26771688828701, 1
23^41-1 = [2, 1; 11, 1; 83, 1; 117018989947, 1
23^41+1 = [2, 3; 3, 1; 1134389, 1; 44127446381, 1
20^43-1 = [19, 1; 369122321, 1
20^43+1 = [3, 1; 7, 1; 947, 1
30^38+1 = [17, 1; 53, 1; 229, 1; 12229313, 1; 14324887741, 1; 9359399031533, 1
14^49-1 = [13, 1; 491, 1; 50177, 1; 8108731, 1
14^49+1 = [3, 1; 5, 1; 7027567, 1; 1766644727, 1
33^37-1 = [2, 5; 149, 1; 223, 1; 678581, 1
33^37+1 = [2, 1; 17, 1; 6883, 1; 2030085143, 1; 22992024961, 1
19^44+1 = [2, 1; 17, 1; 89, 1; 3833, 1; 121434809, 1; 50766225049, 1; 18815582771569, 1
22^42+1 = [5, 1; 97, 1; 157, 1; 1489, 1; 3529, 1; 4481, 1; 83273, 1; 34379269, 1; 1267338829, 1
28^39-1 = [3, 4; 53, 1; 271, 1; 1483, 1; 1951, 1; 219386077, 1; 4543753614603737, 1
28^39+1 = [29, 1; 79, 1; 547, 1; 757, 1; 2237, 1; 114661, 1; 284467, 1; 1598039, 1
15^48+1 = [2, 1; 97, 1; 257, 1; 91297, 1; 12779004583099009, 1
18^45-1 = [7, 3; 17, 1; 31, 1; 41, 1; 601, 1; 991, 1; 2711, 1; 34327, 1; 558721, 1
18^45+1 = [11, 1; 19, 1; 73, 1; 307, 1; 9041, 1; 465841, 1; 828811, 1; 11630180251, 1
24^41-1 = [23, 1; 2789, 1; 40462534363, 1; 5079389540237737, 1
24^41+1 = [5, 2; 83, 1
26^40+1 = [241, 1; 401, 1; 3617, 1; 46559041, 1; 57734881, 1
17^46+1 = [2, 1; 5, 1; 29, 1; 1511845630837, 1
34^37-1 = [3, 1; 11, 1; 223, 1; 5107, 1; 38851, 1; 1157213, 1; 196591453916657, 1
34^37+1 = [5, 1; 7, 1; 3734683792412648487053, 1
31^38+1 = [2, 1; 13, 1; 37, 1; 1217, 1; 23126269, 1; 53489941, 1; 2491389137, 1
13^51-1 = [2, 2; 3, 2; 61, 1; 103, 1; 443, 1; 763879, 1; 15798461357509, 1
13^51+1 = [2, 1; 7, 1; 157, 1; 617886851384381281, 1
21^43-1 = [2, 2; 5, 1
21^43+1 = [2, 1; 11, 1; 173, 1; 15739, 1; 126851, 1; 169367548429, 1; 1163308526467, 1
29^39-1 = [2, 2; 7, 1; 13, 2; 67, 1; 521, 1; 148123, 1; 4748492087, 1
29^39+1 = [2, 1; 3, 2; 5, 1; 53, 1; 79, 1; 271, 1; 3407, 1; 7489, 1; 252918667, 1
35^37-1 = [2, 1; 17, 1; 388230138454493, 1; 1578885875119577, 1
35^37+1 = [2, 2; 3, 2; 149, 1; 1852073, 1; 2508617557697099, 1
23^42+1 = [2, 1; 5, 1; 37, 1; 53, 1; 7549, 1; 10781, 1; 598193, 1; 3250549, 1; 3391669, 1; 1707540478981, 1
20^44+1 = [34057, 1; 160001, 1; 40094590244240929, 1
14^50+1 = [197, 1; 1061, 1; 1383881, 1; 1289805301, 1
19^45-1 = [2, 1; 3, 4; 31, 1; 127, 1; 151, 1; 211, 1; 523, 1; 911, 1; 29989, 1; 584911, 1; 2460181, 1
19^45+1 = [2, 2; 5, 2; 7, 3; 11, 1; 61, 1; 199, 1; 271, 1; 2251, 1; 6661, 1; 236377, 1; 1081291, 1
30^39-1 = [7, 2; 19, 1; 29, 1; 157, 1; 911, 1; 13339, 1; 178907, 1; 252877, 1
30^39+1 = [13, 2; 31, 1; 67, 1; 79, 1; 547, 1; 184627, 1; 207169, 1; 4538397397, 1
15^49-1 = [2, 1; 7, 3; 1743463, 1; 5706541, 1; 10164071, 1; 4175288799599, 1
15^49+1 = [2, 4; 197, 1; 883471, 1; 10678711, 1; 25036159, 1; 35549599, 1; 93589065767, 1
33^38+1 = [2, 1; 5, 1; 109, 1
22^43-1 = [3, 1; 7, 1; 173, 1; 947, 1; 259799207, 1
22^43+1 = [23, 1
18^46+1 = [5, 2; 13, 1; 1381, 1; 415381, 1; 25753561, 1; 5184266309231761249, 1
17^47-1 = [2, 4
17^47+1 = [2, 1; 3, 2
28^40+1 = [17, 1; 241, 1; 15601, 1; 22223646961, 1; 4411542432420060881, 1
13^52+1 = [2, 1; 14281, 1; 86113, 1; 2176307537, 1; 224277684782113, 1
24^42+1 = [13, 1; 73, 1; 349, 1; 577, 1; 97238233, 1; 374925097, 1; 22165394411334301, 1
26^41-1 = [5, 2; 83, 1; 2633923, 1
26^41+1 = [3, 3; 9677, 1; 1532581, 1
37^37-1 = [2, 2; 3, 2; 149, 1; 1999, 1; 7993, 1; 16651, 1; 17317, 1; 10192715656759, 1
37^37+1 = [2, 1; 19, 1; 593, 1; 134135213, 1; 4356032201, 1; 6190006021, 1
31^39-1 = [2, 1; 3, 2; 5, 1; 79, 2; 331, 1; 13807, 1; 39703, 1; 42407, 1; 2426789, 1; 7908811, 1
31^39+1 = [2, 5; 7, 2; 19, 1; 157, 1; 17863, 1; 238213, 1; 42716694944587, 1
21^44+1 = [2, 1; 353, 1; 97241, 1; 313433209, 1; 715521049, 1; 29831330140869137, 1
34^38+1 = [13, 1; 89, 1; 229, 1; 457, 1; 19457, 1; 21972009770377241, 1
14^51-1 = [13, 1; 103, 1; 211, 1; 136273, 1; 22771730193675277, 1
14^51+1 = [3, 2; 5, 1; 61, 1; 137, 1; 379033, 1; 373751461, 1; 91949452849, 1; 390025544803, 1
29^40+1 = [2, 1; 17, 1; 26209, 1; 561377, 1; 1056241, 1; 128971441, 1; 4966942978351201, 1
20^45-1 = [11, 1; 19, 1; 31, 1; 61, 1; 251, 1; 421, 1; 3001, 1; 53101, 1; 261451, 1; 64008001, 1; 79083953101, 1
20^45+1 = [3, 3; 7, 1; 127, 1; 181, 1; 307, 1; 541, 1; 1621, 1; 54541, 1; 69481, 1; 152381, 1; 26876632021, 1
23^43-1 = [2, 1; 11, 1; 173, 1; 92107, 1
23^43+1 = [2, 3; 3, 1; 65542806503, 1
35^38+1 = [2, 1; 613, 1; 47881, 1; 301682835425375850779941, 1
15^50+1 = [2, 1; 101, 1; 113, 1; 1801, 1; 19421, 1; 115201, 1; 131381, 1
19^46+1 = [2, 1; 181, 1
18^47-1 = [17, 1; 20681, 1
18^47+1 = [19, 1; 468121, 1; 1286609209, 1
13^53-1 = [2, 2; 3, 1; 107, 1; 194723, 1; 189541180943969, 1; 8403659652641423, 1
13^53+1 = [2, 1; 7, 1; 3499, 1; 7504072417, 1; 202326783229, 1; 37379721025854083, 1
17^48+1 = [2, 1; 97, 1; 257, 1; 1120513, 1; 1801601, 1; 53160769, 1; 80592097, 1; 52548582913, 1
22^44+1 = [73, 1; 881, 1; 3209, 1; 3697, 1; 11617, 1; 486817, 1; 465308273, 1; 2598415601, 1
30^40+1 = [337, 1; 401, 1; 4855073, 1; 589750143841, 1
33^39-1 = [2, 5; 859, 1; 1123, 1; 5586803, 1; 255333703, 1; 307870362047, 1; 2309756737861, 1
33^39+1 = [2, 1; 7, 1; 17, 1; 79, 1; 151, 1; 157, 1; 313, 1; 19709, 1; 5079673, 1; 3321744947, 1; 78911260819, 1
28^41-1 = [3, 3; 83, 1; 821, 1; 801469, 1; 32512427, 1
28^41+1 = [29, 1; 9048878843, 1; 164175956442953113, 1
24^43-1 = [23, 1; 431, 1; 59083, 1; 22609057, 1
24^43+1 = [5, 2; 173, 1; 3011, 1; 20641, 1
26^42+1 = [29, 1; 181, 1; 677, 1; 2521, 1; 4733, 1; 694230517093, 1; 95340546766204237, 1
21^45-1 = [2, 2; 5, 2; 211, 1; 463, 1; 9391, 1; 18181, 1; 40841, 1; 41489011, 1; 57815101, 1; 85775383, 1
21^45+1 = [2, 1; 11, 1; 19, 1; 31, 1; 37, 1; 199, 1; 421, 1; 613, 1; 2551, 1; 185641, 1; 501001, 1; 658261, 1
37^38+1 = [2, 1; 5, 1; 137, 1; 176549, 1; 50604949357520823437009, 1
14^52+1 = [41, 1; 937, 1; 1873, 1; 122929, 1; 24265055276489, 1
31^40+1 = [2, 1; 17, 1; 25085030513, 1; 136046551681, 1
34^39-1 = [3, 2; 11, 1; 397, 1; 11701, 1; 328837393, 1; 2458736461986831391, 1
34^39+1 = [5, 1; 7, 1; 79, 1; 1123, 1; 1483, 1; 572833, 1; 2009983, 1; 1153361613301, 1
20^46+1 = [401, 1; 6373576093, 1; 10725299405489, 1
23^44+1 = [2, 1; 89, 1; 139921, 1; 77686774927081, 1
29^41-1 = [2, 2; 7, 1; 83, 1; 2789, 1; 446983, 1; 248807517236987713, 1
29^41+1 = [2, 1; 3, 1; 5, 1; 20747, 1; 812129, 1; 1453369, 1; 5055629, 1; 3711544517, 1; 350069058439, 1
15^51-1 = [2, 1; 7, 1; 103, 1; 241, 1; 1123, 1; 1022449, 1; 3496561, 1; 1045002649, 1; 6734509609, 1
15^51+1 = [2, 4; 137, 1; 211, 1; 443, 1; 101462866544971, 1
38^38+1 = [5, 1; 17, 2; 202921, 1; 3019633, 1; 378783161873, 1; 16529116201857929, 1
19^47-1 = [2, 1; 3, 2
19^47+1 = [2, 2; 5, 1; 283, 1; 11093, 1; 13948811059, 1
13^54+1 = [2, 1; 5, 1; 17, 1; 37, 1; 109, 1; 28393, 1; 428041, 1; 1471069, 1; 16764949, 1; 4220430741361, 1
35^39-1 = [2, 1; 13, 2; 17, 1; 97, 1; 157, 1; 443, 1; 4759, 1; 3500252342029, 1; 7852391301419627, 1
35^39+1 = [2, 2; 3, 3; 79, 1; 397, 1; 937, 1; 1483, 1; 22543, 1; 19073890993, 1; 248827600204171, 1
18^48+1 = [193, 1; 3930785153, 1; 30894471809, 1; 41448704449, 1
17^49-1 = [2, 4; 491, 1; 883, 1; 25646167, 1; 474969439337, 1; 1094794793219, 1
17^49+1 = [2, 1; 3, 2; 22796593, 1; 711954517, 1; 1465198716273377, 1
22^45-1 = [3, 3; 7, 1; 13, 2; 61, 1; 127, 1; 13591, 1; 245411, 1; 297613, 1; 396091, 1; 858794191, 1
22^45+1 = [19, 1; 23, 1; 31, 1; 463, 1; 631, 1; 19801, 1; 224071, 1; 2581921, 1; 5966803, 1; 1850478481, 1
30^41-1 = [29, 1; 83, 1; 2946343, 1; 3012431131, 1
30^41+1 = [31, 1; 2789, 1
24^44+1 = [89, 1; 5897, 1; 168433, 1; 331777, 1; 10720347881, 1
33^40+1 = [2, 1; 241, 1; 401, 1; 1251100321, 1; 703204309121, 1
14^53-1 = [13, 1; 107, 1; 24593, 1; 108342165348412451, 1; 212253211670183419, 1
14^53+1 = [3, 1; 5, 1
28^42+1 = [5, 1; 13, 1; 157, 1; 281, 1; 47221, 1; 93913, 1; 749729, 1; 1100860153, 1; 40860961267393, 1
21^46+1 = [2, 1; 13, 1; 17, 1; 477045301, 1; 11918195405621, 1
26^43-1 = [5, 2
26^43+1 = [3, 3; 681293, 1
31^41-1 = [2, 1; 3, 1; 5, 1; 83, 1; 42481797154433176612759, 1
31^41+1 = [2, 5; 7066933486329661873, 1
20^47-1 = [19, 1; 1129, 1; 4889, 1; 790551835729, 1; 1930941642781, 1
20^47+1 = [3, 1; 7, 1; 6863, 1; 64109, 1
15^52+1 = [2, 1; 17, 1; 1489, 1; 786553, 1; 14685091347707873, 1
37^39-1 = [2, 2; 3, 3; 7, 1; 67, 1; 157, 1; 16381, 1; 1414921, 1; 6765811783780036261, 1
37^39+1 = [2, 1; 19, 1; 31, 1; 43, 1; 53, 1; 79, 1; 591163, 1; 29991391, 1; 204576480239, 1
34^40+1 = [47441, 1; 74161, 1; 37642417, 1; 146030641, 1; 81428485012798241, 1
13^55-1 = [2, 2; 3, 1; 23, 1; 419, 1; 859, 1; 2861, 1; 18041, 1; 30941, 1; 13545148572117361, 1
13^55+1 = [2, 1; 7, 1; 11, 2; 2411, 1; 53681, 1; 128011456717, 1; 4122652482568228291, 1
23^45-1 = [2, 1; 7, 1; 11, 1; 19, 1; 79, 1; 292561, 1; 7792003, 1; 74912328481, 1
23^45+1 = [2, 3; 3, 3; 13, 2; 31, 1; 41, 1; 151, 1; 163, 1; 211, 1; 271, 1; 1117, 1; 189901, 1; 541119751, 1; 35799017131, 1
19^48+1 = [2, 1; 97, 1; 1486811410142377153, 1
29^42+1 = [2, 1; 37, 1; 61, 1; 313, 1; 421, 1; 2989309, 1; 427822081, 1; 826031641, 1; 45517753174237, 1
18^49-1 = [17, 1; 449, 1; 80207, 1; 101921, 1; 32401295018849, 1
18^49+1 = [19, 1; 883, 1; 29009, 1; 170227, 1; 32222107, 1; 86651455669280587, 1
17^50+1 = [2, 1; 5, 3; 29, 1; 5801, 1; 21881, 1; 63541, 1; 88301, 1; 373207301, 1
38^39-1 = [37, 1; 79, 1; 443, 1; 1483, 1; 7411, 1; 4967367318343, 1; 266044456723943, 1
38^39+1 = [3, 2; 7, 1; 13, 2; 53, 1; 67, 1; 547, 1; 368369, 1; 13664353, 1; 63625693, 1; 169450120009, 1
22^46+1 = [5, 1; 97, 1; 1013, 1; 52961256859009, 1; 913037865796506522713, 1
35^40+1 = [2, 1; 113, 1; 449, 1; 4481, 1; 22191649, 1; 3930254561, 1; 20020167221441, 1
14^54+1 = [37, 1; 109, 1; 197, 1; 1033, 1; 1297, 1; 56693904845761, 1
30^42+1 = [17, 1; 53, 1; 572573, 1; 809101, 1; 3466009, 1; 927132724337, 1; 78825757964689, 1
39^39-1 = [2, 1; 7, 1; 19, 1; 131, 1; 157, 1; 223, 1; 3121, 1; 8379073, 1; 617853265920983, 1
39^39+1 = [2, 3; 5, 1; 79, 1; 1483, 1; 30650569, 1; 1112201325769, 1; 58383427946248159, 1
24^45-1 = [19, 1; 23, 1; 241, 1; 601, 1; 2017, 1; 4987, 1; 17881, 1; 24481, 1; 346201, 1
24^45+1 = [5, 3; 7, 1; 11, 1; 31, 1; 79, 1; 127, 1; 199, 1; 271, 1; 3391, 1; 5791, 1; 7561, 1; 1090681, 1; 610250671, 1
21^47-1 = [2, 2; 5, 1; 49727, 1; 227011, 1; 75042551, 1; 158545759, 1; 5298873343, 1
21^47+1 = [2, 1; 11, 1; 283, 1; 1129, 1; 10165349, 1; 32036611, 1; 230199028303, 1
28^43-1 = [3, 3; 3613, 1; 60029, 1; 684217, 1; 105942074311, 1; 23321405465263, 1
28^43+1 = [29, 1; 5849, 1; 24385817, 1
26^44+1 = [17, 1; 89, 1; 26881, 1; 240769, 1; 262153, 1; 2383015361, 1; 12295864997249593, 1
33^41-1 = [2, 5; 83, 1; 2543, 1
33^41+1 = [2, 1; 17, 1; 665804387768740238351, 1
15^53-1 = [2, 1; 7, 1; 4423381, 1; 19273082604001, 1; 69249662260776479, 1
15^53+1 = [2, 4; 107, 1; 6618762113, 1; 80469189271, 1; 144923043227, 1
13^56+1 = [2, 1; 407865361, 1; 17254637799169, 1
20^48+1 = [97, 1; 10369, 1; 6756288659793814433, 1
31^42+1 = [2, 1; 13, 1; 29, 1; 37, 1; 7253, 1; 13469, 1; 922561, 1; 163598989, 1; 277739477, 1; 4038949965541, 1
23^46+1 = [2, 1; 5, 1; 53, 1; 428353, 1; 43166461432817, 1; 212620343166625553, 1
19^49-1 = [2, 1; 3, 2; 701, 1; 70841, 1; 167291881, 1; 51326794793, 1
19^49+1 = [2, 2; 5, 1; 197, 1; 226871, 1
37^40+1 = [2, 1; 17, 1; 103308219233, 1; 809300384771692001, 1
17^51-1 = [2, 4; 103, 1; 307, 1; 409, 1; 10949, 1; 1749233, 1; 2699538733, 1; 162260934541944127, 1
17^51+1 = [2, 1; 3, 3; 7, 1; 13, 1; 17341, 1; 14055956389, 1; 45628367677, 1; 225388217073157, 1
18^50+1 = [5, 4; 13, 1; 101, 1; 401, 1; 1201, 1; 15101, 1; 18401, 1; 102701, 1; 145501, 1; 1437058645425001, 1
34^41-1 = [3, 1; 11, 1; 57353507, 1
34^41+1 = [5, 1; 7, 1; 83, 1; 3553061, 1; 8077247, 1; 743440373206297391437, 1
29^43-1 = [2, 2; 7, 1; 173, 1; 13933, 1; 213633547, 1
29^43+1 = [2, 1; 3, 1; 5, 1; 1137465695629, 1; 2027049776208383967809, 1
14^55-1 = [11, 2; 13, 1; 67, 1; 3761, 1; 4027, 1; 1154539, 1
14^55+1 = [3, 1; 5, 2; 23, 1; 71, 1; 101, 1; 4193531, 1; 11737870057, 1; 80771150936583581, 1
22^47-1 = [3, 1; 7, 1; 24643699, 1; 40597567, 1; 10804373165265881, 1
22^47+1 = [23, 1; 195709, 1; 85735897693, 1
38^40+1 = [91921, 1; 539089, 1; 8065073, 1; 9541056283305131201, 1
35^41-1 = [2, 1; 17, 1; 821, 1; 12301, 1; 944969, 1; 16350253851226236901, 1
35^41+1 = [2, 2; 3, 2; 83, 1; 2531778485007234865183, 1
21^48+1 = [2, 1; 97, 1; 1217, 1; 2689, 1; 31873, 1; 6857635489, 1; 93310250563834657, 1
24^46+1 = [577, 1; 57162680989, 1
13^57-1 = [2, 2; 3, 2; 61, 1; 12865927, 1; 796956375829, 1; 9468940004449, 1
13^57+1 = [2, 1; 7, 1; 157, 1; 845083, 1; 2657518772948983, 1; 6061387217546931661, 1
15^54+1 = [2, 1; 13, 1; 37, 1; 113, 1; 3877, 1; 284329009, 1; 2560392206677, 1; 3506657472973, 1
30^43-1 = [29, 1; 947, 1; 1291, 1; 10704969713, 1; 638061101267, 1; 86600623517971, 1
30^43+1 = [31, 1; 33187577337197705392824941, 1
39^40+1 = [2, 1; 17, 1; 1361, 1; 3457, 1; 49121, 1; 17954081, 1; 45534289, 1
26^45-1 = [5, 3; 11, 1; 19, 1; 37, 1; 3061, 1; 8641, 1; 8821, 1; 9661, 1; 20785291, 1; 308933353, 1
26^45+1 = [3, 5; 7, 1; 31, 1; 431, 1; 1021, 1; 3691, 1; 102966067, 1; 216846518851, 1
28^44+1 = [89, 1; 614657, 1; 59716358541760548549065761, 1
20^49-1 = [19, 1; 29, 1; 71, 1; 32719, 1; 269737651, 1; 2488859795549, 1
20^49+1 = [3, 1; 7, 3; 827, 1; 10529, 1
33^42+1 = [2, 1; 5, 1; 13, 1; 109, 1; 91141, 1; 77899333, 1; 5928274539013, 1; 6029358788322409, 1
19^50+1 = [2, 1; 181, 1; 16936647121, 1; 675303194549101, 1; 590165627314172101, 1
17^52+1 = [2, 1; 41761, 1; 62507849, 1; 558796871153, 1; 1175496327058885417, 1
23^47-1 = [2, 1; 11, 1; 1612759, 1; 160782278895061740375167119, 1
23^47+1 = [2, 3; 3, 1; 908113047764652133, 1
18^51-1 = [7, 3; 17, 2; 103, 1; 10413571416962911, 1; 7563707819165039903, 1
18^51+1 = [19, 1; 137, 1; 307, 1; 443, 1; 133417, 1; 28281862627, 1; 1895634885375961, 1
40^40+1 = [17, 2; 113, 1; 337, 1; 641, 1; 929, 1; 14401, 1; 30241, 1; 3480641, 1
31^43-1 = [2, 1; 3, 1; 5, 1; 146982701137, 1
31^43+1 = [2, 5; 173, 1
14^56+1 = [17, 1; 5393, 1; 8737, 1; 16097, 1; 112639810230529, 1
37^41-1 = [2, 2; 3, 2; 83, 1; 739, 1; 2953, 1; 28123899653, 1
37^41+1 = [2, 1; 19, 1; 821, 1; 58331861039, 1; 501452405702859749917, 1
34^42+1 = [13, 1; 89, 1; 281, 1; 1069, 1; 1249, 1; 3613, 1; 539732593, 1; 122230011037, 1; 23913606373357, 1
29^44+1 = [2, 1; 89, 1; 353, 1; 617, 1; 353641, 1; 1521741545017, 1
22^48+1 = [449, 1; 174337, 1; 2310689, 1; 2902518892577, 1
13^58+1 = [2, 1; 5, 1; 17, 1; 233, 1; 20970714732554798304809, 1
15^55-1 = [2, 1; 7, 1; 11, 2; 67, 1; 463, 1; 2333, 1; 4931, 1; 8537, 1; 1011671, 1
15^55+1 = [2, 4; 23, 1; 31, 1; 331, 1; 1531, 1; 23504771357, 1; 3438685189501, 1; 58925748316711, 1
38^41-1 = [37, 1; 83, 1; 25913, 1; 142189, 1; 22323209900233969, 1
38^41+1 = [3, 1; 13, 1; 6788863, 1; 246440005795303973025847, 1
21^49-1 = [2, 2; 5, 1; 43, 1; 631, 1; 3319, 1; 7057, 1; 1606344741163, 1; 1767442850839, 1
21^49+1 = [2, 1; 11, 1; 81867661, 1; 2524084462789, 1; 86494371600108393937, 1
35^42+1 = [2, 1; 277, 1; 613, 1; 1597, 1; 5413, 1; 305369, 1; 11056997307329, 1
24^47-1 = [23, 1; 14759, 1; 497261, 1
24^47+1 = [5, 2; 659, 1; 22091, 1; 48198971, 1; 202112597, 1; 12844652726099, 1
30^44+1 = [89, 1; 241, 1; 3361, 1; 77155937, 1; 259715809, 1; 252778567915678303049, 1
20^50+1 = [41, 1; 401, 1; 2801, 1; 222361, 1
26^46+1 = [277, 1; 677, 1; 2393, 1; 9010481, 1; 6516608335877, 1
28^45-1 = [3, 5; 19, 2; 31, 1; 271, 1; 15991, 1; 444979, 1; 637421, 1; 734941, 1; 48403441, 1
28^45+1 = [11, 1; 29, 1; 37, 1; 127, 1; 757, 1; 1801, 1; 3061, 1; 3511, 1; 4621, 1; 53951, 1; 102547, 1; 691651, 1; 7302331, 1; 84673681, 1
17^53-1 = [2, 4; 4375997670680275555605273053, 1
17^53+1 = [2, 1; 3, 2; 107, 1; 33179, 1; 40992110362783761677, 1
19^51-1 = [2, 1; 3, 3; 103, 1; 127, 1; 307, 1; 613, 1; 3044803, 1; 54474019, 1; 99995282631947, 1
19^51+1 = [2, 2; 5, 1; 7, 3; 1531, 1; 1786596913, 1; 274019342889240109297, 1
39^41-1 = [2, 1; 19, 1; 2885417, 1; 3596683919, 1; 330870180284577457, 1
39^41+1 = [2, 3; 5, 1; 83, 1; 19294027, 1; 27943070272849883, 1
18^52+1 = [113, 1; 929, 1; 1873, 1; 260800658620746193, 1
33^43-1 = [2, 5; 6451, 1
33^43+1 = [2, 1; 17, 1; 173, 1; 947, 1; 545843, 1; 23964303573577, 1
14^57-1 = [13, 1; 211, 1; 229, 1; 428299, 1; 459715689149916492091, 1
14^57+1 = [3, 2; 5, 1; 61, 1; 191, 1; 26981, 1; 77312552100349, 1
23^48+1 = [2, 1; 97, 1; 193, 1; 2194369, 1; 229381734152257, 1; 15887591750468908417, 1
31^44+1 = [2, 1; 89, 1; 409, 1; 1129, 1; 414407390867564627396249, 1
40^41-1 = [3, 1; 13, 1; 83, 1; 474289, 1; 4280483, 1; 2361320821558176427807877, 1
40^41+1 = [41, 2; 2543, 1; 346369, 1; 123251070029752087, 1
13^59-1 = [2, 2; 3, 1; 273997, 1; 5311771, 1
13^59+1 = [2, 1; 7, 1; 5783, 1
22^49-1 = [3, 1; 7, 3; 51647, 1; 737353, 1; 16968421, 1; 1545133367, 1; 1987506739, 1
22^49+1 = [23, 1; 29, 1; 43, 1; 197, 1; 86969, 1; 58402513986319469, 1
29^45-1 = [2, 2; 7, 1; 13, 1; 67, 1; 181, 1; 14437, 1; 22111, 1; 41203, 1; 120691, 1; 732541, 1
29^45+1 = [2, 1; 3, 3; 5, 2; 11, 1; 19, 1; 31, 1; 271, 1; 401, 1; 32491, 1; 10435069, 1; 517475046481, 1
34^43-1 = [3, 1; 11, 1; 467927, 1; 2580689, 1; 2658042077, 1; 86102909407, 1
34^43+1 = [5, 1; 7, 1; 173, 1; 5419, 1; 105437, 1; 4599156088564925144271983, 1
15^56+1 = [2, 1; 2129, 1; 7121, 1; 66529, 1; 179953, 1; 198017, 1; 12515552561, 1; 1038405709913713, 1
37^42+1 = [2, 1; 5, 1; 13, 1; 29, 1; 137, 1; 337, 1; 673, 1; 144061, 1; 745529, 1; 452091109, 1; 8264338657, 1
21^50+1 = [2, 1; 13, 1; 17, 1; 41, 1; 19501, 1; 56501, 1; 920421641, 1; 33360993558601, 1
41^41-1 = [2, 3; 5, 1; 83, 1; 1752341, 1; 20567159, 1; 1876859311090803007, 1
41^41+1 = [2, 1; 3, 1; 7, 1; 18041, 1; 20396681, 1
24^48+1 = [193, 1; 349409, 1; 436417, 1; 2356609, 1; 76243169, 1; 13240554433, 1; 1216141647361, 1
38^42+1 = [5, 1; 17, 2; 8233, 1; 34273, 1; 1162253, 1; 2083693, 1; 946768313, 1
20^51-1 = [19, 1; 421, 1; 3061, 1; 60589, 1; 689852631578947368421, 1
20^51+1 = [3, 2; 7, 1; 103, 1; 127, 1; 409, 1; 1429, 1; 2567783, 1; 2640509, 1; 3698623, 1; 92054423, 1
35^43-1 = [2, 1; 17, 1; 964493527, 1; 6320945927587, 1
35^43+1 = [2, 2; 3, 2; 173, 1; 5693287, 1; 14463699096545759, 1; 940698020515363183, 1
17^54+1 = [2, 1; 5, 1; 29, 1; 37, 1; 109, 1; 181, 1; 2089, 1; 83233, 1; 382069, 1; 1941733, 1; 861553369, 1; 39902245921, 1
30^45-1 = [7, 2; 19, 1; 29, 1; 1171, 1; 12211, 1; 837931, 1; 51941161, 1; 729027001, 1
30^45+1 = [11, 1; 13, 1; 31, 1; 37, 1; 67, 1; 163, 1; 271, 1; 4831, 1; 19801, 1; 71261, 1; 120871, 1; 341191, 1; 517831, 1
14^58+1 = [197, 1; 233, 1; 19145784457, 1
19^52+1 = [2, 1; 17, 1; 2393, 1; 3833, 1; 7177, 1; 69034016679735329, 1
26^47-1 = [5, 2; 11986390598948220127, 1
26^47+1 = [3, 3; 2678044679, 1
18^53-1 = [17, 1; 4239894319, 1
18^53+1 = [19, 1; 107, 1; 144828226935207572844491, 1
28^46+1 = [5, 1; 157, 1; 893413, 1; 6013890309283753610697077, 1
23^49-1 = [2, 1; 11, 1; 29, 1; 197, 1; 5336717, 1
23^49+1 = [2, 3; 3, 1; 71, 1; 673, 1; 2969, 1; 171913108319, 1; 14284335193633, 1; 1414566930063953, 1
33^44+1 = [2, 1; 89, 1; 97, 1; 6113, 1; 47609, 1
39^42+1 = [2, 1; 29, 1; 281, 1; 761, 1; 5153, 1; 2311921, 1; 372498337, 1; 294662850413, 1
13^60+1 = [2, 1; 41, 1; 4441, 1; 8161, 1; 14281, 1; 29881, 1; 217561, 1; 815702161, 1; 543124566401, 1
15^57-1 = [2, 1; 7, 1; 241, 1; 4272113, 1; 292582141, 1; 370649274902657, 1
15^57+1 = [2, 4; 211, 1; 229, 1; 4561, 1; 13757, 1; 611028193819, 1; 439799488353587, 1
31^45-1 = [2, 1; 3, 3; 5, 2; 11, 1; 271, 1; 331, 1; 2521, 1; 3637, 1; 17351, 1; 63901, 1; 81343, 1; 106291, 1; 327412201, 1
31^45+1 = [2, 5; 7, 2; 19, 1; 41, 1; 577, 1; 21821, 1; 1538083, 1; 2065411, 1; 880374069121, 1
22^50+1 = [5, 3; 97, 1; 181, 1; 401, 1; 150901, 1
29^46+1 = [2, 1; 421, 1; 829, 1; 675608716093, 1; 3429444597413, 1
40^42+1 = [29, 1; 61, 1; 1601, 1; 41941, 1; 53040821, 1; 10900346689, 1; 1231682529008460481, 1
34^44+1 = [3257, 1; 1336337, 1; 791754459642521, 1; 1732429451995903321, 1
37^43-1 = [2, 2; 3, 2; 99576393613, 1; 798246265376983, 1; 96390918207548052857, 1
37^43+1 = [2, 1; 19, 1; 173, 1; 1033, 1; 1055189557, 1; 633412840509556667989937, 1
21^51-1 = [2, 2; 5, 1; 463, 1; 38047, 1; 1502097124754084594737, 1
21^51+1 = [2, 1; 11, 1; 103, 1; 421, 1; 11969, 1; 114089969144083169, 1
14^59-1 = [13, 1; 28439, 1; 1139110880064821580931661, 1
14^59+1 = [3, 1; 5, 1; 13217, 1; 20297, 1; 26914480954937, 1; 4723062582866725519259, 1
24^49-1 = [23, 1; 29, 1; 197, 1; 239, 1; 28771, 1; 125931208613032365313, 1
24^49+1 = [5, 2; 183458857, 1; 41006447819, 1; 5010044015761, 1
20^52+1 = [937, 1; 160001, 1; 1961441, 1; 26916259659749909489, 1
17^55-1 = [2, 4; 88741, 1; 15357101, 1; 3332897591, 1; 2141993519227, 1; 962619789378941, 1
17^55+1 = [2, 1; 3, 2; 11, 2; 23, 1; 71, 1; 101, 1; 947, 1; 87415373, 1
41^42+1 = [2, 1; 13, 1; 29, 2; 109, 1; 337, 1; 1993, 1; 59473, 1; 114576514249, 1; 22550075621233982641, 1
19^53-1 = [2, 1; 3, 2; 107, 1; 323930821687153, 1; 2551089855701675251204783, 1
19^53+1 = [2, 2; 5, 1; 104095533511, 1; 210146007928707977384770009, 1
18^54+1 = [5, 2; 13, 1; 37, 2; 109, 1; 229, 1; 457, 1; 2593, 1; 25309, 1; 771877, 1; 3711529, 1; 8640109, 1; 33388093, 1; 126001657, 1
26^48+1 = [97, 1; 101377, 1; 232185409, 1; 430164069753779201, 1
38^43-1 = [37, 1; 860828009, 1; 2910147166183, 1; 88551864386911823, 1
38^43+1 = [3, 1; 13, 1; 173, 1; 1033, 1; 1721, 1; 5849, 1; 1941881, 1; 1057926185892349, 1
35^44+1 = [2, 1; 89, 1; 750313, 1; 347731913, 1; 5803652050704688841, 1
30^46+1 = [17, 1; 53, 1; 4969, 1; 178687921, 1; 19176222677, 1; 70443348543908273093, 1
13^61-1 = [2, 2; 3, 1; 4027, 1; 4759, 1; 7687, 1; 27817, 1; 92110001, 1; 4672993939, 1; 48401662036451, 1
13^61+1 = [2, 1; 7, 1; 6024266671, 1; 298681203493, 1; 1535617756259, 1
28^47-1 = [3, 3; 6299, 1; 24128861, 1; 21277176429749, 1; 3425165712672937943, 1
28^47+1 = [29, 1; 175323719489, 1; 1892292333735833, 1
23^50+1 = [2, 1; 5, 3; 53, 1; 61, 1; 941, 1; 19501, 1; 272341, 1; 346924525001, 1
42^42+1 = [5, 1; 353, 1; 673, 1; 4621, 1; 11257, 1; 1350553, 1; 17825893, 1; 1689250516969, 1; 60652423637401, 1
15^58+1 = [2, 1; 113, 1; 233, 1; 1074277, 1; 281589769, 1; 1240581007181, 1
33^45-1 = [2, 5; 31, 1; 37, 1; 1123, 1; 4951, 1; 39451, 1; 34905511, 1; 275465191, 1
33^45+1 = [2, 1; 7, 1; 17, 1; 19, 1; 151, 1; 181, 1; 307, 1; 83071, 1; 221401, 1; 1151041, 1; 891687885391, 1; 1448986704001, 1
39^43-1 = [2, 1; 19, 1; 177677, 1; 214820928823, 1
39^43+1 = [2, 3; 5, 1; 31649, 1; 89527, 1; 67838335323899526766423, 1
22^51-1 = [3, 2; 7, 1; 13, 2; 239, 1; 613, 1; 74729519, 1; 176634767651, 1; 29084130008763268099, 1
22^51+1 = [23, 1; 103, 1; 137, 1; 463, 1; 128000923, 1; 1594728827, 1; 12513453088956661, 1
31^46+1 = [2, 1; 13, 1; 37, 1; 829, 1; 1955865713101, 1; 23856848059764277, 1
29^47-1 = [2, 2; 7, 1; 283, 1; 659693, 1; 4440937, 1; 7823903, 1; 16200263293163, 1; 100338952626091, 1
29^47+1 = [2, 1; 3, 1; 5, 1; 3740457218863, 1; 1363173240112199, 1; 148295428997500951, 1
21^52+1 = [2, 1; 97241, 1
14^60+1 = [41, 1; 937, 1; 61001, 1; 698521, 1; 51111761, 1; 1475750641, 1; 59203797481, 1
40^43-1 = [3, 1; 13, 1; 476178733, 1; 18786714449, 1
40^43+1 = [41, 1; 173, 1; 1291, 1; 3011, 1; 15166961, 1
17^56+1 = [2, 1; 113, 1; 337, 1; 18913, 1; 184417, 1; 45694428193, 1; 50667635531043971329, 1
34^45-1 = [3, 3; 11, 1; 37, 1; 61, 1; 181, 1; 271, 1; 397, 1; 22571, 1; 77431, 1; 13917511, 1; 22385281, 1
34^45+1 = [5, 2; 7, 1; 19, 1; 31, 1; 109, 1; 1123, 1; 6661, 1; 259631, 1; 745903, 1; 59299046581, 1
20^53-1 = [19, 1; 593071, 1; 24540050076369381718561, 1
20^53+1 = [3, 1; 7, 1; 107, 1
37^44+1 = [2, 1; 89, 1; 10529, 1; 16849632889, 1; 267892220390609, 1
24^50+1 = [61, 1; 577, 1; 667380601, 1; 1801385941, 1
18^55-1 = [17, 1; 23, 1; 41, 1; 199, 1; 2711, 1; 16127, 1; 51217, 1; 50790191, 1; 125500908706801, 1
18^55+1 = [11, 2; 19, 1; 331, 2; 9041, 1; 536801, 1; 6301307, 1; 11502811, 1; 142022651, 1; 6749141521, 1
19^54+1 = [2, 1; 13, 2; 37, 1; 73, 1; 109, 1; 181, 1; 769, 1; 35533, 1; 211573, 1; 113596956031609377829, 1
13^62+1 = [2, 1; 5, 1; 17, 1; 1861, 1; 1178621, 1; 48534593, 1; 111109852618983753193, 1
26^49-1 = [5, 2; 321272407, 1; 8377245533576547517, 1
26^49+1 = [3, 3; 71, 2; 197, 1; 42337, 1; 59011, 1; 23368004867873, 1
41^43-1 = [2, 3; 5, 1; 947, 1
41^43+1 = [2, 1; 3, 1; 7, 1; 173, 1; 2700487, 1; 809742915767321, 1; 886585272539761175429, 1
15^59-1 = [2, 1; 7, 1; 298157610720691362563759, 1
15^59+1 = [2, 4; 7907, 1; 565322071603278863, 1
30^47-1 = [29, 1; 1129, 1; 2351, 1; 218363, 1; 994991, 1
30^47+1 = [31, 1; 283, 1; 2348386754555590051440283, 1
23^51-1 = [2, 1; 7, 1; 11, 1; 79, 1; 103, 1; 42331, 1; 62246266355102810647, 1
23^51+1 = [2, 3; 3, 2; 13, 2; 239, 1; 117539, 1; 6023203, 1; 209209825938101, 1
28^48+1 = [97, 1; 2012449, 1; 4338337, 1; 168542177, 1
35^45-1 = [2, 1; 13, 1; 17, 1; 19, 1; 31, 1; 97, 1; 271, 1; 421, 1; 1621, 1; 49831, 1; 96753079, 1; 651811141, 1; 5196169021, 1
35^45+1 = [2, 2; 3, 4; 11, 1; 397, 1; 2251, 1; 132631, 1; 612740917, 1; 1028947411, 1; 235554165829621, 1
38^44+1 = [41, 1; 89, 1; 50857, 1
42^43-1 = [41, 1; 13910243, 1; 3542371317981806123086359389, 1
42^43+1 = [43, 2; 1033, 1; 117563, 1; 216803431799147308608401, 1
22^52+1 = [73, 1; 937, 1; 3209, 1
33^46+1 = [2, 1; 5, 1; 109, 1; 277, 1; 56857, 1; 77557, 1; 944343455669, 1
14^61-1 = [13, 1; 977, 1; 8053, 1; 21961, 1; 51238644631619299, 1
14^61+1 = [3, 1; 5, 1; 90281, 1; 107705383, 1
39^44+1 = [2, 1; 1156721, 1; 2904529, 1
21^53-1 = [2, 2; 5, 1; 1697, 1; 207612155793974069, 1; 372515213872960388437, 1
21^53+1 = [2, 1; 11, 1; 107, 1; 8693, 1; 167223466685805761701453712891, 1
31^47-1 = [2, 1; 3, 1; 5, 1; 3128573142495569, 1; 170942984502845969696543, 1
31^47+1 = [2, 5; 659, 1; 20681, 1; 322825141, 1
17^57-1 = [2, 4; 229, 1; 307, 1; 1103, 1; 202607147, 1; 291973723, 1; 6162410920417, 1
17^57+1 = [2, 1; 3, 3; 7, 1; 13, 1; 457, 1; 1559, 1; 2927, 1; 312931, 1; 20352763, 1
13^63-1 = [2, 2; 3, 3; 43, 1; 61, 1; 127, 1; 337, 1; 547, 1; 6301, 1; 825679, 1; 1609669, 1; 2714377, 1; 5229043, 1; 7327657, 1; 997294663, 1
13^63+1 = [2, 1; 7, 2; 19, 1; 29, 1; 157, 1; 271, 1; 463, 1; 937, 1; 22079, 1; 11032183, 1; 704972647, 1; 54165939703, 1
29^48+1 = [2, 1; 97, 1; 125123236840173674393761, 1
43^43-1 = [2, 1; 3, 1; 7, 1; 173, 1; 120401, 1
43^43+1 = [2, 2; 11, 1; 947, 1; 1291, 1; 6709, 1; 86689, 1; 485926008972226664331036683, 1
20^54+1 = [13, 1; 37, 1; 401, 1; 7237, 1; 12277, 1; 24877, 1; 4450002049, 1
18^56+1 = [97, 1; 673, 1; 5105857, 1; 113607841, 1; 6139221193320769, 1
19^55-1 = [2, 1; 3, 2; 151, 1; 911, 1; 104281, 1; 62060021, 1; 484536191701, 1
19^55+1 = [2, 2; 5, 2; 11, 2; 23, 1; 2251, 1; 253239693257, 1; 150669382018464871, 1
24^51-1 = [23, 1; 307, 1; 601, 1; 1531, 1; 2347, 1; 120574031, 1; 6166060753, 1; 341563234253, 1
24^51+1 = [5, 2; 7, 1; 79, 1; 103, 1; 409, 1; 10133, 1; 36941239, 1; 1585038487, 1; 11144891198810483, 1
34^46+1 = [13, 1; 89, 1; 829, 1; 1617671053, 1; 186301449656789, 1; 7170136256368009, 1
40^44+1 = [769, 1; 881, 1; 3329, 1; 6073, 1; 6689, 1; 516209, 1; 4846608286096885634129, 1
15^60+1 = [2, 1; 17, 1; 41, 1; 1201, 1; 1489, 1; 17761, 1; 2414458561, 1; 2562840001, 1; 133390439104361, 1
37^45-1 = [2, 2; 3, 4; 7, 1; 11, 1; 41, 1; 67, 1; 73, 1; 127, 1; 2671, 1; 4021, 1; 4271, 1; 92251, 1; 318211, 1; 16133851, 1; 108998178168331, 1
37^45+1 = [2, 1; 19, 1; 31, 1; 43, 1; 181, 1; 199, 1; 601, 1; 1531, 1; 51031, 1; 1824841, 1; 12892843, 1; 6002229721, 1
26^50+1 = [101, 1; 601, 1; 677, 1; 208518605101, 1
23^52+1 = [2, 1; 313, 1; 139921, 1
30^48+1 = [97, 1; 257, 1; 105601, 1; 249352417, 1; 17940767041, 1; 69250296257, 1
28^49-1 = [3, 3; 113, 1; 197, 1; 2155609, 1; 4422461, 1; 319343666713, 1
28^49+1 = [29, 1; 13007, 1; 28813, 1; 35771, 1; 51647, 1; 57527, 1; 248397367, 1; 5966523512629, 1
41^44+1 = [2, 1; 89, 1; 137, 1; 10313, 1; 86857, 1; 218404913, 1; 5464786215794929, 1
35^46+1 = [2, 1; 613, 1; 1124576725295981, 1; 17881783852634882214225337, 1
14^62+1 = [197, 1; 446401, 1
38^45-1 = [11, 1; 31, 1; 37, 1; 109, 1; 151, 1; 163, 1; 181, 1; 1483, 1; 9871, 1; 91621, 1; 169471, 1; 194681, 1; 1649019241, 1
38^45+1 = [3, 3; 7, 1; 13, 1; 67, 1; 421, 1; 811, 1; 94111, 1; 112621, 1; 127261, 1; 2031671, 1; 1003627171, 1; 21471693391, 1
22^53-1 = [3, 1; 7, 1; 8432873783478996906159449, 1
22^53+1 = [23, 1; 107, 1; 180413, 1; 359129, 1; 3157235118397, 1
13^64+1 = [2, 1; 257, 1; 3230593, 1; 36713826768408543617, 1
17^58+1 = [2, 1; 5, 1; 29, 2; 4908077, 1
33^47-1 = [2, 5; 69412891, 1; 261473503, 1; 1100942133956936933797, 1
33^47+1 = [2, 1; 17, 1; 283, 1; 8179, 1
21^54+1 = [2, 1; 13, 1; 17, 1; 61, 1; 1693, 1; 3181, 1; 4344847859197, 1; 360697466924286697, 1
42^44+1 = [17, 1; 183041, 1; 154185769, 1
18^57-1 = [7, 3; 17, 1; 6841, 1; 1288363483639, 1; 6089884909802812423, 1
18^57+1 = [19, 2; 307, 1; 1961870762757168078553, 1
20^55-1 = [11, 2; 19, 1; 61, 1; 251, 1; 2209901, 1; 10778947368421, 1; 2571413672161047121, 1
20^55+1 = [3, 1; 7, 1; 23, 1; 152381, 1; 424016563147, 1
31^48+1 = [2, 1; 193, 1; 1889, 1; 7393, 1; 1347329, 1; 6139297, 1; 23277313, 1; 27333034608226177, 1
39^45-1 = [2, 1; 7, 1; 19, 1; 31, 1; 181, 1; 191, 1; 223, 1; 271, 1; 401, 1; 1741, 1; 31321, 1; 2461861, 1; 19440901, 1; 2995328101, 1
39^45+1 = [2, 3; 5, 2; 11, 1; 61, 1; 1171, 1; 1483, 1; 2089, 1; 5641, 1; 41011, 1; 1684387, 1; 13658401, 1; 15952141, 1; 25835671, 1
19^56+1 = [2, 1; 113, 1; 14561, 1; 15073, 1; 563377, 1; 38645462353, 1; 107849044129, 1
29^49-1 = [2, 2; 7, 3; 197, 1; 88009573, 1; 1458862987, 1
29^49+1 = [2, 1; 3, 1; 5, 1; 574995877, 1; 734893353967822492171, 1
15^61-1 = [2, 1; 7, 1; 367, 1; 7321, 1; 220692472927167836907173, 1
15^61+1 = [2, 4; 234519435023, 1; 1805790344137304843, 1
24^52+1 = [521, 1; 331777, 1; 64223630017, 1
43^44+1 = [2, 1; 17, 1; 89, 1; 193, 1; 521, 1; 2113, 1; 89849, 1; 267606343535521, 1; 489324727930193, 1
34^47-1 = [3, 1; 11, 1; 941, 1
34^47+1 = [5, 1; 7, 1; 8179, 1; 2572040051929, 1; 3070899174042608439765029, 1
40^45-1 = [3, 3; 13, 1; 31, 1; 163, 1; 547, 1; 2625641, 1; 8376409, 1; 206124513031, 1
40^45+1 = [7, 1; 11, 2; 19, 1; 37, 1; 41, 1; 223, 1; 379, 1; 15373, 1; 20641, 1; 6717334976041, 1; 336244505171718601, 1
37^46+1 = [2, 1; 5, 1; 137, 1; 277, 1; 461, 1; 54316709, 1
26^51-1 = [5, 2; 19, 1; 37, 1; 103, 1; 1123, 1; 216649, 1; 1696363, 1; 40385656825829055229, 1
26^51+1 = [3, 4; 7, 1; 31, 1; 1531, 1; 3299, 1; 4999, 1; 1935281, 1; 1315750871, 1
23^53-1 = [2, 1; 11, 1; 107, 1; 134515657106693, 1; 61190665486751483, 1
23^53+1 = [2, 3; 3, 1; 568952669, 1
14^63-1 = [13, 1; 43, 1; 211, 1; 379, 1; 397, 1; 547, 1; 18973, 1; 8108731, 1; 407364049, 1; 2239000891, 1
14^63+1 = [3, 3; 5, 1; 19, 1; 61, 1; 127, 1; 463, 1; 132049, 1; 7027567, 1; 131147620297, 1
44^44+1 = [41, 1; 113, 1; 353, 1; 809, 1; 9857, 1; 21889297, 1; 515247198207611779162177, 1
28^50+1 = [5, 3; 61, 1; 101, 1; 157, 1; 14561, 1; 84961, 1; 67643801, 1; 192184659301, 1; 360728480233546501, 1
30^49-1 = [29, 1; 71, 1; 113, 1; 93997, 1; 1984109, 1; 71761730340566743, 1
30^49+1 = [31, 1; 631, 1; 883, 1; 1118041, 1; 7373227, 1
13^65-1 = [2, 2; 3, 1; 53, 1; 131, 1; 1171, 1; 30941, 1; 156131, 1; 264031, 1; 1803647, 1; 71442881968439190301, 1
13^65+1 = [2, 1; 7, 1; 11, 1; 2411, 1; 13417, 1; 16381, 1; 20333, 1; 79301, 1; 3808876542352598861, 1
22^54+1 = [5, 1; 37, 1; 97, 1; 157, 1; 1489, 1; 18973, 1; 522289, 1; 25043041, 1; 5847988213, 1; 18311943313, 1
35^47-1 = [2, 1; 17, 1; 12503, 1; 17203, 1
35^47+1 = [2, 2; 3, 2; 6855123337, 1; 1169998714395426255963736661117, 1
41^45-1 = [2, 3; 5, 2; 31, 1; 271, 1; 487, 1; 811, 1; 1723, 1; 22381, 1; 579281, 1; 9753949, 1; 11228251, 1; 2355405711202441, 1
41^45+1 = [2, 1; 3, 3; 7, 1; 11, 1; 19, 1; 37, 1; 61, 1; 73, 1; 547, 1; 4111, 1; 30853, 1; 100697041, 1; 8179560752161, 1
17^59-1 = [2, 4; 1063, 1; 1889, 1; 1365581260423071390161, 1
17^59+1 = [2, 1; 3, 2; 512593, 1; 682807427588431379494344607469, 1
38^46+1 = [5, 1; 17, 2; 277, 1; 461, 1; 98873184304052969, 1
21^55-1 = [2, 2; 5, 2; 881, 1; 40841, 1; 5664205361, 1; 17513875027111, 1; 270573999780463721, 1
21^55+1 = [2, 1; 11, 2; 23, 1; 2971, 1; 6073, 1; 185641, 1; 10362529, 1; 8407123807237422961, 1
18^58+1 = [5, 2; 13, 1; 233, 1; 9049, 1; 23201, 1; 5860321, 1; 874663781, 1; 678538785553421893, 1
20^56+1 = [17, 1; 113, 1; 449, 1; 1505882353, 1
33^48+1 = [2, 1; 577, 1; 1153, 1; 165601, 1; 69789409, 1; 110720417, 1; 205779361, 1; 23363951137, 1; 15480661570849, 1
19^57-1 = [2, 1; 3, 3; 127, 1; 229, 1; 6841, 1; 80558460464029837, 1; 81403978301424181910737, 1
19^57+1 = [2, 2; 5, 1; 7, 3; 457, 1; 17443, 1; 108301, 1; 166783, 1; 1049219, 1; 870542161121, 1; 13983359177311, 1
15^62+1 = [2, 1; 113, 1; 20089, 1; 856469, 1; 18167443254760948901, 1
42^45-1 = [11, 1; 13, 1; 19, 1; 41, 1; 61, 1; 139, 1; 181, 1; 1601, 1; 518131, 1; 288900307, 1; 154954759291, 1; 23214437040060361, 1
42^45+1 = [31, 1; 43, 1; 131, 1; 1723, 1; 23201, 1; 45481, 1; 7030981, 1; 5488957657, 1; 27171831445741, 1
31^49-1 = [2, 1; 3, 1; 5, 1; 6959, 1; 917087137, 1
31^49+1 = [2, 5; 11971, 1; 71821, 1; 2932755253, 1
29^50+1 = [2, 1; 101, 1; 421, 1; 1061, 1; 4801, 1; 470925821, 1
24^53-1 = [23, 1
24^53+1 = [5, 2; 107, 1; 1061, 1; 450077, 1
39^46+1 = [2, 1; 761, 1; 3221, 1; 4049, 1; 5484150361, 1; 662961159337, 1
14^64+1 = [8633886977, 1
43^45-1 = [2, 1; 3, 3; 7, 1; 19, 1; 181, 1; 199, 1; 631, 1; 3079, 1; 6211, 1; 9001, 1; 3500201, 1; 11416525335601, 1
43^45+1 = [2, 2; 11, 1; 13, 1; 31, 1; 109, 1; 139, 1; 6481, 1; 3341101, 1; 33007141, 1; 57993427, 1; 59528191, 1; 13775424211, 1
34^48+1 = [97, 1; 257, 1; 375841, 1; 49805953, 1; 2583249857, 1; 23775511777, 1; 49521227489, 1; 3928666141537, 1
13^66+1 = [2, 1; 5, 1; 17, 1; 5281, 1; 28393, 1; 37869877, 1; 23057835113017, 1; 3577574298489429481, 1
23^54+1 = [2, 1; 5, 1; 37, 1; 53, 1; 73, 1; 109, 1; 757, 1; 4789, 1; 5689, 1; 7549, 1; 101089, 1; 1636741, 1; 18996553, 1
26^52+1 = [17, 1; 8737, 1; 26881, 1
40^46+1 = [1601, 1; 24841, 1
37^47-1 = [2, 2; 3, 2; 11939, 1; 169997350583, 1; 4004953934692253, 1
37^47+1 = [2, 1; 19, 1; 941, 1; 42677, 1; 2445622952400877178321483907583, 1
28^51-1 = [3, 4; 103, 1; 271, 1; 57427, 1; 8061059901399457, 1; 148020807352107352204781, 1
28^51+1 = [29, 1; 239, 1; 613, 1; 757, 1; 2347, 1; 8807, 1; 45508138747, 1
17^60+1 = [2, 1; 41, 1; 73, 1; 601, 1; 1321, 1; 41761, 1; 72337, 1; 73363561, 1; 1186844128302568601, 1
22^55-1 = [3, 1; 7, 1; 67, 1; 331, 1; 353, 1; 118361, 1; 245411, 1; 1176469537, 1
22^55+1 = [23, 1; 89, 1; 224071, 1; 2706385001, 1; 285451051007, 1; 1357357714241, 1
30^50+1 = [17, 1; 53, 1; 1801, 1; 54121, 1; 12109381, 1; 39974961601, 1; 2441218904701, 1
44^45-1 = [7, 1; 19, 1; 37, 1; 43, 1; 181, 1; 271, 1; 283, 1; 391801, 1; 2062891, 1; 3835261, 1; 10322047, 1; 35041021, 1; 107890772359411, 1
44^45+1 = [3, 4; 5, 2; 31, 1; 421, 1; 631, 1; 1621, 1; 1741, 1; 15139, 1; 159769, 1; 413521, 1; 1120771, 1
21^56+1 = [2, 1; 113, 1; 12097, 1; 62897, 1; 300673, 1; 31548272195219921, 1
18^59-1 = [17, 1; 4295428888967, 1; 128998224914431, 1; 312278175742409, 1
18^59+1 = [19, 1; 7907, 1
15^63-1 = [2, 1; 7, 2; 43, 1; 127, 1; 241, 1; 541, 1; 883, 1; 21061, 1; 123229, 1; 399043, 1; 1743463, 1; 1470374630929, 1; 2817034275427, 1
15^63+1 = [2, 4; 19, 1; 211, 1; 739, 1; 811, 1; 723031, 1; 10137331, 1; 10678711, 1; 48675439, 1; 191354311, 1
35^48+1 = [2, 1; 577, 1; 13921, 1; 188833, 1; 767008609, 1; 4394231174092284521569, 1
20^57-1 = [19, 2; 229, 1; 421, 1; 75368484119, 1; 192696104561, 1; 1374892397251, 1
20^57+1 = [3, 2; 7, 1; 127, 1; 6841, 1; 109850818001, 1; 222155207347, 1; 2272727294381, 1; 68465688966343, 1
19^58+1 = [2, 1; 181, 1; 929, 1; 4409, 1; 103114489, 1; 22716352849, 1; 7876159445929, 1
41^46+1 = [2, 1; 29, 2; 19318316874022005768653, 1
38^47-1 = [37, 1; 283, 1; 385662299007667579, 1
38^47+1 = [3, 1; 13, 1; 5641, 1; 13247559967, 1; 17828764795256160548561567779, 1
45^45-1 = [2, 2; 11, 1; 19, 1; 31, 1; 109, 1; 181, 1; 1471, 1; 2851, 1; 10009, 1; 135721, 1; 183451, 1; 283771, 1; 829639, 1; 2891101, 1; 134407081, 1; 1803639511, 1
45^45+1 = [2, 1; 7, 1; 23, 1; 41, 1; 61, 1; 283, 1; 7309, 1; 97841, 1; 1136089, 1; 44573401, 1; 427841641, 1; 1099730881, 1; 281780428261, 1
33^49-1 = [2, 5; 421, 1; 883, 1; 3163483, 1; 3576646417, 1
33^49+1 = [2, 1; 17, 1; 29, 1; 197, 1; 219409, 1; 20140079, 1; 2288452895246109846849799, 1
14^65-1 = [11, 1; 13, 2; 157, 1; 2081, 1; 3761, 1; 548055041, 1; 29914249171, 1
14^65+1 = [3, 1; 5, 2; 71, 1; 79, 1; 101, 1; 131, 1; 911, 1; 7307, 1; 100621, 1; 1812721, 1; 89590931, 1; 154160620391311, 1
24^54+1 = [13, 1; 37, 1; 73, 1; 109, 1; 349, 1; 577, 1; 875341, 1; 5273677, 1; 187162849, 1; 7973048859509888389, 1
31^50+1 = [2, 1; 13, 1; 37, 1; 181, 1; 1601, 1; 4707206941, 1
29^51-1 = [2, 2; 7, 1; 13, 1; 67, 1; 103, 1; 3911, 1; 1977917, 1; 48426439, 1; 1100628349, 1; 33505187587603, 1
29^51+1 = [2, 1; 3, 2; 5, 1; 271, 1; 1973, 1; 1288057, 1; 3877667, 1; 6212923, 1; 31618925959007, 1
13^67-1 = [2, 2; 3, 1; 586079017, 1; 1093561021297, 1; 1195860242597359, 1
13^67+1 = [2, 1; 7, 1; 269, 1; 4021, 1; 138959, 1; 28376556792667, 1
42^46+1 = [5, 1; 277, 1; 353, 1; 173735224109, 1; 267249548501187589, 1
39^47-1 = [2, 1; 19, 1; 156958009406747970486961183, 1
39^47+1 = [2, 3; 5, 1; 283, 1; 193547067732653, 1
23^55-1 = [2, 1; 11, 2; 292561, 1; 3468301, 1; 3937230404603, 1
23^55+1 = [2, 3; 3, 1; 31, 1; 41, 1; 211, 1; 20681, 1; 44771, 1; 62701, 1; 39700406579747, 1
26^53-1 = [5, 2; 4241, 1; 150097, 1; 358043142577, 1; 1971203353831, 1
26^53+1 = [3, 3; 107, 1; 2333, 1; 5156527199, 1; 54865399436668796181164201, 1
34^49-1 = [3, 1; 11, 1; 197, 1; 463, 1; 3437617, 1; 14582510251, 1; 234385605791, 1
34^49+1 = [5, 1; 7, 3; 29, 1; 71, 1; 104119, 1; 166700843, 1
17^61-1 = [2, 4; 15103230859721, 1
17^61+1 = [2, 1; 3, 2; 1831, 1; 536801, 1; 528720501902111, 1
43^46+1 = [2, 1; 5, 2; 37, 1
22^56+1 = [17, 1; 3227992561, 1; 127682309142529, 1; 6431392860517903090849, 1
28^52+1 = [614657, 1; 3398337641329450355189472420954977, 1
15^64+1 = [2, 1; 151553, 1; 70237697, 1; 17347644250739140028840698753, 1
37^48+1 = [2, 1; 97, 1; 5566657, 1; 1108161677126609953, 1
40^47-1 = [3, 1; 13, 1; 1289733970477, 1
40^47+1 = [41, 1; 7333, 1; 128969, 1; 83061617339, 1; 526353700325012837, 1
18^60+1 = [113, 1; 241, 1; 881, 1; 929, 1; 11019855601, 1; 495520919281, 1; 137841514501966721, 1
30^51-1 = [7, 2; 19, 1; 29, 1; 103, 1; 409, 1; 10570676926829627653, 1
30^51+1 = [13, 1; 31, 1; 67, 1; 613, 1; 7243, 1; 565727, 1; 165849348647, 1; 42840326829523, 1
21^57-1 = [2, 2; 5, 1; 463, 1; 304609, 1; 12061389013, 1; 54921106624003, 1
21^57+1 = [2, 1; 11, 1; 421, 1; 609673, 1; 5285953, 1; 67505443, 1; 987749814642143197, 1
19^59-1 = [2, 1; 3, 2
19^59+1 = [2, 2; 5, 1; 33179477, 1; 26886160879, 1
20^58+1 = [401, 1; 1063721, 1; 500140961, 1; 25104088611489177761, 1
44^46+1 = [13, 1; 149, 1; 66977, 1; 101638289, 1; 127237013, 1; 863831609, 1
14^66+1 = [37, 1; 197, 1; 1033, 1; 32341, 1; 88001, 1; 327889, 1; 2283733, 1; 240159217, 1; 3938797853, 1
35^49-1 = [2, 1; 17, 1; 43, 1; 225989, 1; 44007727, 1; 190753265393077226220781, 1
35^49+1 = [2, 2; 3, 2; 29, 1; 491, 1; 5209, 1; 11831, 1; 3200070539, 1; 9749772905251, 1; 5662939263847472419, 1
13^68+1 = [2, 1; 137, 1; 409, 1; 14281, 1; 63104137, 1
41^47-1 = [2, 3; 5, 1; 9958064719328486531, 1; 78094180566830018266230133, 1
41^47+1 = [2, 1; 3, 1; 7, 1; 659, 1; 1223, 1; 2021377, 1
38^48+1 = [97, 1; 11329, 1; 1495297, 1; 71918657, 1; 91752481, 1; 476743489, 1; 175779617473, 1
24^55-1 = [23, 1; 67, 1; 7349, 1; 346201, 1; 434501, 1; 134367047, 1; 340245936911, 1; 105562680440614871, 1
24^55+1 = [5, 3; 11, 2; 5791, 1; 28295741, 1; 65397751, 1; 60867245726761, 1
33^50+1 = [2, 1; 5, 3; 41, 1; 61, 1; 109, 1; 3701, 1; 4721, 1; 23801, 1; 81101, 1; 742226569901, 1; 12209956343835001, 1
29^52+1 = [2, 1; 353641, 1; 19589753, 1; 12453708073, 1; 1860604084769, 1
45^46+1 = [2, 1; 1013, 1; 76598585809, 1
31^51-1 = [2, 1; 3, 2; 5, 1; 331, 1; 1961163283, 1; 751670559138758105956097, 1
31^51+1 = [2, 5; 7, 2; 19, 1; 103, 1; 2796214962413636917873, 1; 6841661642646463343047, 1
23^56+1 = [2, 1; 17, 1; 113, 1; 449, 1; 3697, 1; 623009, 1; 9619978817, 1
17^62+1 = [2, 1; 5, 1; 29, 1; 2729, 1; 759322433, 1; 23321390258237, 1; 729426109307672111981, 1
42^47-1 = [41, 1; 283, 1; 169483, 1; 233753749, 1; 476181198178427051, 1
42^47+1 = [43, 1; 6299, 1
39^48+1 = [2, 1; 97, 1; 1409, 1; 5857, 1; 2240737, 1; 3745537, 1; 2713804961192257, 1
26^54+1 = [181, 1; 677, 1; 757, 1; 1621, 1; 2521, 1; 78020713, 1; 77768062633, 1; 89761824918036320617, 1
15^65-1 = [2, 1; 7, 1; 11, 1; 53, 1; 131, 1; 4931, 1; 157483, 1; 16655159, 1
15^65+1 = [2, 4; 31, 1; 79, 1; 1531, 1; 1294671691, 1; 1539711288259, 1; 118991428865318211233461, 1
46^46+1 = [29, 1; 73, 1; 1013, 1; 14629, 1; 31741, 1; 2221903165650473, 1; 617663426850071093, 1
22^57-1 = [3, 2; 7, 1; 13, 2; 2281, 1; 30097, 1; 45943, 1; 200983, 1; 341203, 1; 734186407417, 1; 97404596002423, 1
22^57+1 = [23, 1; 463, 1; 9007, 1; 9740503, 1; 23967703, 1; 37795766089771, 1; 58167002655376561, 1
18^61-1 = [17, 1; 367831, 1; 4110876980385153863, 1
18^61+1 = [19, 1; 703819, 1; 42043094784045697444762222723, 1
34^50+1 = [13, 1; 89, 1; 101, 1; 2801, 1; 663001, 1; 1784250435661, 1; 41595701549695208056901, 1
21^58+1 = [2, 1; 13, 1; 17, 1; 349, 1; 18097, 1; 1792484183066669, 1
28^53-1 = [3, 3; 220187971, 1
28^53+1 = [29, 1; 107, 1; 2336285687, 1; 309617974423, 1
19^60+1 = [2, 1; 17, 1; 41, 1; 3833, 1; 4297, 1; 3952393, 1; 478382041, 1; 14706033761, 1
20^59-1 = [19, 1; 709, 1; 32031477011, 1; 50552666868943321, 1; 4443043113983919668779, 1
20^59+1 = [3, 1; 7, 1; 2505995335981, 1; 60435208609469, 1
43^47-1 = [2, 1; 3, 1; 7, 1; 108788243190817386661, 1
43^47+1 = [2, 2; 11, 1; 283, 1; 659, 1; 13913, 1; 24921448261, 1; 14108231161651413422411, 1
14^67-1 = [13, 1; 269, 1; 12329, 1; 169913, 1; 2516066164220253191649971614939, 1
14^67+1 = [3, 1; 5, 1; 86029, 1; 16731682871, 1; 742346622710948405402237, 1
30^52+1 = [241, 1; 313, 1; 3361, 1; 10708105609969, 1; 2017218763920257, 1
37^49-1 = [2, 2; 3, 2; 71, 1; 197, 1; 491, 1; 119267, 1; 37140797, 1; 264423311286840201546264901, 1
37^49+1 = [2, 1; 19, 1; 2498207293, 1; 351185187025039935877, 1; 351405021365451201191, 1
13^69-1 = [2, 2; 3, 2; 61, 1; 139, 1; 1381, 1; 10903, 1; 282244620282733, 1; 2519545342349331183143, 1
13^69+1 = [2, 1; 7, 1; 47, 1; 157, 1; 277, 1; 1151, 1; 2347, 1; 7039, 1; 84801400975699, 1
40^48+1 = [97, 1; 8641, 1; 1044193, 1; 4970451679203795856961, 1
35^50+1 = [2, 1; 101, 1; 181, 1; 613, 1; 12431152621, 1; 407991287029853801, 1
44^47-1 = [43, 1; 659, 1; 4231, 1; 152939, 1; 224409680922367, 1; 384826871364277, 1
44^47+1 = [3, 2; 5, 1; 8073473, 1; 368082287, 1; 111180004905719552711742659081, 1
24^56+1 = [17, 1; 113, 1; 2801, 1; 2311681, 1; 2603441, 1; 12175852634824817, 1
38^49-1 = [37, 1; 883, 1; 1471, 1; 1295953, 1; 3092313043, 1; 6089952760761349033, 1
38^49+1 = [3, 1; 13, 1; 29, 1; 239, 1; 423277, 1; 519107, 1; 156268094118473, 1; 251921653503938153, 1
41^48+1 = [2, 1; 97, 1; 334177, 1; 2333857, 1; 18096796400991457, 1; 2969334894856405949761, 1
33^51-1 = [2, 5; 103, 1; 1123, 1; 82723, 1; 113357, 1; 191251, 1; 241333, 1; 1137388061, 1
33^51+1 = [2, 1; 7, 1; 17, 2; 151, 1; 5407, 1; 1435438759, 1; 132345083573, 1; 853299177421, 1
29^53-1 = [2, 2; 7, 1; 107, 1; 10601, 1
29^53+1 = [2, 1; 3, 1; 5, 1; 187091, 1; 102968016651034826283138186847, 1
17^63-1 = [2, 4; 19, 1; 43, 1; 127, 1; 307, 1; 13567, 1; 1270657, 1; 25646167, 1; 940143709, 1; 41643373496311819, 1
17^63+1 = [2, 1; 3, 4; 7, 2; 13, 1; 1423, 1; 5653, 1; 12404449, 1; 22796593, 1; 59044357, 1; 428802078097, 1; 88109799136087, 1
31^52+1 = [2, 1; 409, 1; 1129, 1; 305688893141113, 1; 5603212901768856193, 1
23^57-1 = [2, 1; 7, 1; 11, 1; 79, 1; 2129, 1; 63877469, 1; 2350382803, 1; 24939218613613, 1; 1420450672756039, 1
23^57+1 = [2, 3; 3, 2; 13, 2; 493811, 1; 3195383, 1; 1970307281599, 1; 58531113508957, 1
15^66+1 = [2, 1; 13, 1; 113, 1; 397, 1; 617, 1; 3877, 1; 63493, 1; 363567733, 1; 18510347197, 1; 536554814380116068153, 1
45^47-1 = [2, 2; 11, 1; 1129, 1; 154724189, 1; 51837304274143573658745029, 1
45^47+1 = [2, 1; 23, 1; 1055439443203, 1; 5007871893259011010762923469, 1
26^55-1 = [5, 3; 11, 2; 23, 1; 8641, 1; 65539, 1; 3279541, 1; 97395563, 1; 208341431, 1; 470196238294201, 1
26^55+1 = [3, 3; 431, 1; 1021, 1; 192458971, 1; 135938684703251, 1
18^62+1 = [5, 2; 13, 1; 373, 1; 1158037, 1; 89891941, 1; 844025609171791028413, 1
22^58+1 = [5, 1; 97, 1; 929, 1; 5905440414034349, 1
42^48+1 = [97, 1; 193, 1; 205633, 1; 385713217, 1; 97921741921, 1; 5007945605667365550817, 1
14^68+1 = [41, 1; 409, 1; 937, 1; 1198859041, 1
39^49-1 = [2, 1; 19, 1; 2857, 1; 398273, 1; 1264033, 1; 125273303, 1; 372358437809, 1; 3105873038176091, 1
39^49+1 = [2, 3; 5, 1; 43, 1; 71, 1; 197, 1; 1123739, 1; 6771507792824739072112812646693, 1
13^70+1 = [2, 1; 5, 2; 17, 1; 421, 1; 601, 1; 641, 1; 23161037562937, 1
19^61-1 = [2, 1; 3, 2
19^61+1 = [2, 2; 5, 1; 733, 1; 8053, 1; 84510011, 1; 1292509969, 1; 142920649702891953961, 1
21^59-1 = [2, 2; 5, 1; 896447, 1; 334217419, 1; 47540111129611360301, 1
21^59+1 = [2, 1; 11, 1; 3085597813, 1
20^60+1 = [241, 1; 31177, 1; 148721, 1; 160001, 1; 821113, 1; 22921681, 1; 4817246650081, 1; 4406613081041681, 1
34^51-1 = [3, 2; 11, 1; 103, 1; 137, 1; 397, 1; 919, 1; 1327, 1; 232846577043840572161, 1
34^51+1 = [5, 1; 7, 1; 307, 1; 443, 1; 1123, 1; 1531, 1; 7753, 1; 28051, 1; 112643, 1; 681259, 1; 4708729, 1
28^54+1 = [5, 1; 13, 1; 157, 1; 24481, 1; 47221, 1; 50221, 1; 314497, 1; 188878213, 1; 235922815189, 1; 428485444021, 1
46^47-1 = [3, 2; 5, 1; 941, 1; 16431429538240371836933, 1
46^47+1 = [47, 2; 659, 1
30^53-1 = [29, 1; 107, 1; 28027943525891113319, 1; 92062209914431198469, 1
30^53+1 = [31, 1; 18348714939299, 1; 408748358195077, 1
43^48+1 = [2, 1; 769, 1; 19681, 1; 20929, 1; 149377, 1; 878593, 1; 966913, 1; 103776599233, 1; 4513274958253588609, 1
37^50+1 = [2, 1; 5, 3; 61, 1; 137, 1; 81701, 1; 11507920001, 1; 20537546119484501, 1; 5153406763721063801, 1
40^49-1 = [3, 1; 13, 1; 197, 1; 4201025641, 1; 36470521116165877118530363, 1
40^49+1 = [41, 1; 211, 1; 18938851, 1
47^47-1 = [2, 1; 23, 1; 1693, 1; 255742492896763511474638530188876017, 1
47^47+1 = [2, 4; 3, 1; 659, 1; 15511, 1; 65519, 1; 21179047, 1; 10519189757, 1; 60963223421, 1; 2506611914519, 1
24^57-1 = [23, 1; 457, 1; 601, 1; 4219, 1; 112950414769, 1; 7282588256957615350925401, 1
24^57+1 = [5, 2; 7, 1; 79, 1; 3810589537, 1; 121954170337, 1; 6699981196401006122851369, 1
35^51-1 = [2, 1; 13, 1; 17, 2; 97, 1; 1780003, 1; 1714059307, 1; 172507579403449211, 1
35^51+1 = [2, 2; 3, 3; 103, 1; 307, 1; 397, 1; 51817, 1; 124615474273, 1; 309915724674603539, 1
17^64+1 = [2, 1; 769, 1; 138497, 1
15^67-1 = [2, 1; 7, 1; 4954919, 1; 2628501058611905652954840361379, 1
15^67+1 = [2, 4; 93348019, 1; 21737518025925979, 1
44^48+1 = [197352587024076973231046657, 1
33^52+1 = [2, 1; 97, 1; 6113, 1; 394577, 1
29^54+1 = [2, 1; 37, 1; 61, 1; 313, 1; 421, 1; 757, 1; 4978801, 1; 467390730000853, 1; 42150482650323109, 1
23^58+1 = [2, 1; 5, 1; 53, 1; 929, 1; 15313, 1
38^50+1 = [5, 3; 17, 2; 61, 1; 101, 1; 38201, 1; 372901, 1; 720301, 1; 1712401, 1
41^49-1 = [2, 3; 5, 1; 43, 1; 6763, 1; 113229229, 1; 262710757, 1; 125400466409, 1
41^49+1 = [2, 1; 3, 1; 7, 3; 71, 1; 197, 1; 1583093, 1; 9329993, 1; 57338233, 1; 1321395937, 1; 12151537468866066797, 1
31^53-1 = [2, 1; 3, 1; 5, 1; 218149, 1; 2210276655188599, 1; 1593405992841712852324481273, 1
31^53+1 = [2, 5; 107, 1; 1061, 1; 83423, 1; 185183, 1; 19503537629, 1; 88387933035190440551, 1
18^63-1 = [7, 4; 17, 1; 127, 1; 449, 1; 631, 1; 991, 1; 2143, 1; 34327, 1; 80207, 1; 1292257, 1; 156107192084257, 1
18^63+1 = [19, 1; 43, 1; 73, 1; 307, 1; 46747, 1; 465841, 1; 32222107, 1; 337268233, 1; 607371619, 1
14^69-1 = [13, 1; 47, 1; 211, 1; 461, 1; 2347, 1; 10627, 1; 2249861, 1; 14525237, 1; 812293117, 1; 2609588427937, 1
14^69+1 = [3, 2; 5, 1; 61, 1; 139, 1; 691, 1; 967, 1; 12431317, 1; 19922509, 1; 5715684596759, 1
13^71-1 = [2, 2; 3, 1; 6959, 1; 12923, 1; 201499, 1
13^71+1 = [2, 1; 7, 1; 532615479720542238328159944384931, 1
22^59-1 = [3, 1; 7, 1; 2288129166742313, 1
22^59+1 = [23, 1; 1005612521, 1; 445117398832960434677, 1
26^56+1 = [3617, 1; 30689, 1; 297809, 1; 5831057, 1; 57734881, 1; 378275286403075217297, 1
19^62+1 = [2, 1; 181, 1; 373, 1; 774629, 1; 743762742808750682665930129, 1
21^60+1 = [2, 1; 73, 1; 601, 1; 97241, 1; 3441241, 1; 40086001, 1; 518118697, 1; 415710882920521, 1
45^48+1 = [2, 1; 97, 1; 449, 1; 35521, 1; 191137, 1; 1383169, 1; 12278127457, 1
20^61-1 = [19, 1; 1831, 1; 1575631, 1; 74324733207911, 1
20^61+1 = [3, 1; 7, 1; 12287385389923456825324271923, 1
42^49-1 = [41, 1; 197, 1; 491, 1; 3851, 1; 145139, 1; 1460117, 1
42^49+1 = [29, 1; 43, 1; 337, 1; 5783, 1; 548591, 1; 3262238798491, 1
39^50+1 = [2, 1; 41, 1; 101, 1; 761, 1; 1901, 1; 24170501, 1; 1291594501, 1; 72218350982497903814401, 1
28^55-1 = [3, 3; 637421, 1; 6077039, 1; 50545507, 1; 16071033331, 1; 829366011211, 1; 94275090945167441, 1
28^55+1 = [11, 2; 23, 2; 29, 1; 53951, 1; 346438463911, 1; 540610746853, 1
34^52+1 = [521, 1; 7177, 1; 1336337, 1; 2536873, 1; 133669433, 1; 3346237441, 1; 1296816525740341450729, 1
30^54+1 = [17, 1; 53, 1; 109, 1; 809101, 1; 11004811314110641, 1; 531440999271000001, 1
46^48+1 = [97, 1; 577, 1; 1249, 1; 8513, 1; 20641, 1; 624737, 1; 3429697, 1; 779065031672321, 1
15^68+1 = [2, 1; 17, 2; 1489, 1; 9929, 1
37^51-1 = [2, 2; 3, 3; 7, 1; 67, 1; 613, 1; 109172471, 1; 161934782169241, 1; 189475557532747, 1
37^51+1 = [2, 1; 19, 1; 31, 1; 43, 1; 103, 1; 115873, 1; 560276923, 1; 159012729398779, 1; 15142988434621452581641, 1
17^65-1 = [2, 4; 88741, 1; 212057, 1; 9882731, 1; 2919196853, 1; 42774218980741, 1
17^65+1 = [2, 1; 3, 2; 11, 1; 53, 1; 71, 1; 79, 1; 101, 1; 131, 1; 53171, 1; 65651, 1; 2001793, 1; 346638477380024845861, 1
43^49-1 = [2, 1; 3, 1; 7, 3; 491, 1; 5839, 1; 158341, 1
43^49+1 = [2, 2; 11, 1; 197, 1; 18229, 1; 6177695707, 1; 12324475400273, 1; 111426688573308893, 1
24^58+1 = [577, 1; 129457, 1
40^50+1 = [101, 1; 241, 1; 281, 1; 1601, 1; 5501, 1; 17581, 1; 174101, 1; 2198701, 1; 13437901, 1; 145152101, 1; 253759201, 1
13^72+1 = [2, 1; 1009, 1; 3889, 1; 680401, 1; 407865361, 1; 29975087953, 1; 659481276875569, 1; 6654909974864689, 1
14^70+1 = [29, 2; 113, 1; 197, 1; 281, 1; 1061, 1; 3361, 1; 22961, 1; 176597, 1; 1383881, 1; 169104974081, 1; 179266059891241, 1
47^48+1 = [2, 1; 5441, 1; 528002017, 1; 98678246569313, 1; 1148340356764147681, 1
35^52+1 = [2, 1; 3329, 1; 750313, 1; 45467449, 1; 112487060401, 1
18^64+1 = [257, 1; 769, 1
23^59-1 = [2, 1; 11, 1; 5995817, 1; 451573729, 1; 15648899754659, 1; 3794908745134333508761, 1
23^59+1 = [2, 3; 3, 1; 11801, 1; 3193789, 1; 121570269892408921, 1
29^55-1 = [2, 2; 7, 1; 23, 1; 338141, 1; 732541, 1; 1193512007711, 1; 18944890940537, 1; 13323049382040421, 1
29^55+1 = [2, 1; 3, 1; 5, 2; 11, 2; 31, 1; 401, 1; 5618383, 1; 72384467, 1; 78400741, 1; 41281260791, 1
33^53-1 = [2, 5; 107, 1; 6422603005129, 1; 4614550029643428870259710306803, 1
33^53+1 = [2, 1; 17, 1; 618577813640557, 1
44^49-1 = [43, 1; 239, 1; 1163, 1; 1373, 1; 26713, 1; 545959, 1
44^49+1 = [3, 2; 5, 1; 20287, 1; 643273, 1; 2192261, 1; 7095062437, 1; 12724778641, 1; 14266041791, 1; 318781334420123, 1
31^54+1 = [2, 1; 13, 1; 37, 1; 922561, 1; 1536553, 1; 512616735577, 1; 277477787226853, 1; 91556360840213317, 1
22^60+1 = [41, 1; 73, 1; 3209, 1; 21001, 1; 191353, 1; 286777, 1; 6298801, 1; 305490121, 1; 240425214401, 1
19^63-1 = [2, 1; 3, 4; 127, 1; 523, 1; 701, 1; 29989, 1; 70841, 1; 30640261, 1; 68443621, 1; 21095068697641, 1
19^63+1 = [2, 2; 5, 1; 7, 4; 43, 2; 197, 1; 199, 1; 226871, 1; 236377, 1; 343393, 1; 524119, 1; 204396571, 1; 68338204247969587, 1
38^51-1 = [37, 1; 103, 1; 137, 1; 1483, 1; 151471, 1; 4269211, 1; 33193361176106273, 1
38^51+1 = [3, 2; 7, 1; 13, 1; 67, 1; 307, 1; 289001, 1; 45909793, 1; 4521822181, 1
41^50+1 = [2, 1; 29, 2; 101, 1; 761, 1; 40312301, 1; 103826101, 1; 1069778710978086022057601, 1
26^57-1 = [5, 2; 19, 2; 37, 1; 1597, 1; 33403, 1; 551192154259, 1; 54509933224633, 1; 916631343715906315531, 1
26^57+1 = [3, 4; 7, 1; 31, 1; 229, 1; 6753589, 1; 50288585161, 1; 123963652789966341658519, 1
21^61-1 = [2, 2; 5, 1; 15373, 1; 12519763, 1; 1128331159687, 1; 1814065850324073713, 1
21^61+1 = [2, 1; 11, 1; 367, 1; 75641, 1; 15569711981, 1; 132538677158969693, 1; 37376752870606823789, 1
20^62+1 = [373, 1; 401, 1; 111160667194373, 1
48^48+1 = [769, 1; 45121, 1; 170497, 1; 2492087396737, 1; 4657394825125242693121, 1
45^49-1 = [2, 2; 11, 1; 29, 1; 71, 1; 1199521, 1; 4124569, 1; 916663899843735821, 1
45^49+1 = [2, 1; 23, 1; 43, 1; 15146783, 1; 188912767, 1; 14515265795378503, 1
28^56+1 = [17, 1; 7841, 1; 22223646961, 1
39^51-1 = [2, 1; 7, 1; 19, 1; 223, 1; 312971, 1; 93931363225910189411, 1
39^51+1 = [2, 3; 5, 1; 103, 1; 919, 1; 1327, 1; 1483, 1; 2487713, 1; 7585029579997, 1; 108993557443570343, 1
15^69-1 = [2, 1; 7, 1; 241, 1; 829, 1; 967, 1; 31741, 1; 434956681, 1; 80732172121, 1; 3046462151831565769, 1
15^69+1 = [2, 4; 47, 1; 139, 1; 211, 1; 1381, 1; 6257, 1; 81421, 1; 825287, 1; 3549551867, 1
42^50+1 = [5, 3; 101, 1; 353, 1; 2521, 1; 9181, 1; 83621, 1; 1087301, 1; 60031801, 1; 408815101, 1; 58728331301, 1
34^53-1 = [3, 1; 11, 1; 107, 1; 1081307, 1; 2594987, 1; 12864479, 1
34^53+1 = [5, 1; 7, 1; 687636463277, 1; 1658423715104692910299, 1; 1900676816200539211871, 1
17^66+1 = [2, 1; 5, 1; 29, 1; 89, 1; 397, 1; 19801, 1; 25741, 1; 83233, 1; 85009, 1; 256152733, 1; 6901823633, 1
30^55-1 = [29, 1; 1321, 1; 837931, 1; 81370145080291, 1; 610851724137931, 1; 9119031913911026141, 1
30^55+1 = [11, 2; 23, 1; 31, 1; 71261, 1; 88793, 1; 279811489, 1; 492541370954042703727521011, 1
13^73-1 = [2, 2; 3, 1; 145009586102490829218552548223336637, 1
13^73+1 = [2, 1; 7, 1; 45553, 1; 64803179963, 1
14^71-1 = [13, 1; 4261, 1; 954519632047180992533553119, 1
14^71+1 = [3, 1; 5, 1; 569, 1; 3620291, 1; 56165234981886479394192094297061, 1
24^59-1 = [23, 1; 3156383, 1; 40322995067713, 1; 20058520782729629621, 1
24^59+1 = [5, 2; 827, 1; 103947039333204799, 1; 32161793704106598258806381, 1
46^49-1 = [3, 2; 5, 1; 491, 1; 883, 1; 1471, 1; 3060247, 1; 9684836827, 1
46^49+1 = [47, 1; 3137, 1; 540961, 1; 9272716111, 1; 166685262353, 1; 1712624274562699, 1
37^52+1 = [2, 1; 89, 1; 10529, 1; 219509124812279641, 1; 257572786301234791762248953, 1
18^65-1 = [17, 1; 41, 1; 79, 1; 521, 1; 911, 1; 2711, 1; 29759719289, 1; 260674349667764744544365521, 1
18^65+1 = [11, 1; 19, 1; 131, 1; 2081, 1; 3121, 1; 9041, 1; 2570316451, 1; 4020180841, 1; 3242950762090314211, 1
43^50+1 = [2, 1; 5, 4; 37, 1; 41, 1; 4481, 1; 243701, 1; 12716981, 1; 187654333501, 1
23^60+1 = [2, 1; 937, 1; 1801, 1; 5081, 1; 139921, 1; 5670961, 1; 83575993, 1; 76384053703681, 1; 1206964869343609001, 1
40^51-1 = [3, 2; 13, 1; 239, 1; 547, 1; 2347, 1; 331205867, 1; 556492509861557, 1; 25161597834306874249, 1
40^51+1 = [7, 1; 41, 1; 103, 1; 223, 1; 647, 1; 4007921, 1; 16158928623546703, 1
35^53-1 = [2, 1; 17, 1; 107, 1; 1061, 1
35^53+1 = [2, 2; 3, 2; 836420846435311309, 1
19^64+1 = [2, 1; 36097, 1; 87553, 1; 315989504252280687606137174469121, 1
22^61-1 = [3, 1; 7, 1; 733, 1; 188369, 1; 13531997, 1; 1078645984686904783, 1
22^61+1 = [23, 1; 650493602920343105522571195991702169, 1
29^56+1 = [2, 1; 17, 1; 113, 1; 26209, 1; 561377, 1; 9177760265723729, 1; 30956385805538033, 1
47^49-1 = [2, 1; 23, 1; 43, 1; 256128979, 1; 32620302149, 1
47^49+1 = [2, 4; 3, 1; 197, 1; 5881, 1; 1794703, 1; 31601224255465429885537422388541, 1
20^63-1 = [19, 1; 29, 1; 71, 1; 421, 1; 6679, 1; 32719, 1; 460951, 1; 64008001, 1; 8442733531, 1
20^63+1 = [3, 3; 7, 2; 43, 1; 127, 1; 307, 1; 827, 1; 10529, 1; 69481, 1; 2750161, 1; 36363727, 1
21^62+1 = [2, 1; 13, 1; 17, 1; 66713, 1; 92753, 1; 13163658325422541897, 1
33^54+1 = [2, 1; 5, 1; 13, 1; 109, 1; 91141, 1; 123553, 1; 49552308901, 1; 878338391619313, 1; 1667889513661516993, 1
31^55-1 = [2, 1; 3, 1; 5, 2; 11, 2; 23, 1; 397, 1; 617, 1; 17351, 1; 150332843, 1; 167767051, 1
31^55+1 = [2, 5; 41, 1; 661, 1; 2531, 1; 11551, 1; 21821, 1; 757241, 1; 1048563011, 1
26^58+1 = [233, 1; 677, 1; 79732359887603230302193, 1
38^52+1 = [41, 1; 50857, 1; 5946019561, 1
44^50+1 = [13, 1; 101, 1; 149, 1; 541, 1; 5126701, 1; 256967681, 1; 94054066706799371868853565701, 1
41^51-1 = [2, 3; 5, 1; 103, 1; 1723, 1; 791419, 1; 201815909, 1; 323824851129646973, 1
41^51+1 = [2, 1; 3, 2; 7, 1; 547, 1; 1021, 1; 62240958750018457814374721, 1
15^70+1 = [2, 1; 29, 1; 113, 1; 19421, 1; 131381, 1; 531581, 1; 363860910841, 1; 4454215139669, 1
48^49-1 = [47, 1; 71, 1; 175926983, 1; 69178543169487767, 1; 96313641291003767, 1
48^49+1 = [7, 4; 1711569511, 1; 121472224903, 1; 11495423671999, 1; 279307608307476013861, 1
13^74+1 = [2, 1; 5, 1; 17, 1; 149, 1; 1738568407946597, 1
17^67-1 = [2, 4; 436171, 1
17^67+1 = [2, 1; 3, 2; 7103, 1; 369966985497341977627, 1
28^57-1 = [3, 4; 271, 1; 457, 1; 90403, 1; 21084187, 1; 62830837877749, 1; 5504044949138999959, 1
28^57+1 = [29, 1; 757, 1; 7508041, 1; 108044981035496842464510517, 1
14^72+1 = [17, 1; 5393, 1; 16097, 1; 19489, 1; 722833, 1; 154604113, 1; 288392833, 1
45^50+1 = [2, 1; 601, 1; 1013, 1; 683401, 1; 2076001, 1; 16806825723601, 1; 182921405634402336001, 1
34^54+1 = [13, 1; 89, 1; 1069, 1; 1249, 1; 54829, 1; 1678429, 1; 43524789475429, 1; 888695745733365949, 1
30^56+1 = [337, 1; 401, 1; 4855073, 1; 28004369, 1; 824509729, 1; 87235391377, 1; 290221578517697, 1
39^52+1 = [2, 1; 521, 1; 398113, 1; 1156721, 1; 11825321, 1; 80082913, 1; 1211020240017749481737, 1
42^51-1 = [13, 1; 41, 1; 139, 1; 1158007, 1; 82935963690420160273, 1
42^51+1 = [43, 1; 103, 1; 1723, 1; 3877, 1; 89188964023736497, 1; 229317107671612604641, 1
24^60+1 = [41, 1; 97, 1; 331777, 1; 119179481, 1; 736452721, 1; 1134793633, 1; 1147229924161, 1; 2479666140481, 1
18^66+1 = [5, 2; 13, 1; 89, 1; 229, 1; 457, 1; 1321, 1; 1392733, 1; 1527087937, 1; 55547468813, 1; 2570735949673, 1; 8941138915237, 1
23^61-1 = [2, 1; 11, 1; 5266228211, 1; 4217468380980037880092527701441161, 1
23^61+1 = [2, 3; 3, 1; 36479, 1
37^53-1 = [2, 2; 3, 2; 107, 1; 743, 1; 1061, 1; 340690573, 1; 65705244907, 1
37^53+1 = [2, 1; 19, 1; 24624967, 1; 2478616339, 1; 3769340299477, 1; 19140189134660171629621, 1
19^65-1 = [2, 1; 3, 2; 151, 1; 599, 1; 911, 1; 29251, 1; 96851, 1; 38324521, 1; 52356721, 1; 133338869, 1; 153079681, 1
19^65+1 = [2, 2; 5, 2; 11, 1; 131, 1; 313, 1; 2251, 1; 176021, 1; 291331, 1; 77685006382386461342123321, 1
46^50+1 = [29, 1; 41, 1; 73, 1; 101, 1; 541, 1; 5101, 1; 177101, 1; 7544475331153046399106018968101, 1
22^62+1 = [5, 1; 97, 1; 4093, 1; 23298361, 1; 45727606853, 1; 13301795714853532637, 1
20^64+1 = [4213987444481, 1; 19781545588481, 1; 82832842974154279534081, 1
21^63-1 = [2, 2; 5, 1; 43, 1; 127, 1; 463, 1; 631, 1; 3319, 1; 4789, 1; 6427, 1; 51787, 1; 85775383, 1; 227633407, 1; 22125429901, 1; 27186384126763, 1
21^63+1 = [2, 1; 11, 1; 19, 1; 37, 1; 199, 1; 337, 1; 421, 1; 613, 1; 516349, 1; 734329, 1; 81867661, 1; 22864311556633, 1; 4527391635851869, 1
43^51-1 = [2, 1; 3, 2; 7, 1; 613, 1; 631, 1; 647, 1; 1022492881, 1; 56770350869, 1; 3807926835707, 1
43^51+1 = [2, 2; 11, 1; 13, 1; 103, 2; 139, 1; 28867, 1; 4917999089, 1; 1098988543267429, 1; 27147048848953409, 1
40^52+1 = [313, 1; 769, 1; 3329, 1; 1532427957386458474991124529, 1
29^57-1 = [2, 2; 7, 1; 13, 1; 67, 1; 571, 1; 11971, 1; 73303, 1; 1386659, 1; 274773085966123, 1; 157193380600163813309, 1
29^57+1 = [2, 1; 3, 2; 5, 1; 271, 1; 457, 1; 16759, 1; 12139270932215509058971, 1
35^54+1 = [2, 1; 37, 1; 73, 1; 277, 1; 613, 1; 5413, 1; 28297, 1; 1251099780162301, 1
26^59-1 = [5, 2; 3541, 1; 334945708538658924935948356996883525107, 1
26^59+1 = [3, 3; 254250862891621, 1
15^71-1 = [2, 1; 7, 1; 91733, 1; 5957753, 1; 272301574062887284439621057578687, 1
15^71+1 = [2, 4; 5852594044699, 1; 922195312138651, 1; 6713182133980505226300443, 1
31^56+1 = [2, 1; 17, 1; 2129, 1; 27329, 1; 25085030513, 1; 3117962927633, 1
33^55-1 = [2, 5; 31, 1; 331, 1; 2113, 1; 8581, 1; 39451, 1; 204970261, 1; 47284185301, 1; 180115639771, 1; 747487377451, 1
33^55+1 = [2, 1; 17, 1; 23, 1; 1871, 1; 1151041, 1; 34544013769, 1
13^75-1 = [2, 2; 3, 2; 61, 1; 701, 1; 1951, 1; 4651, 1; 9851, 1; 30941, 1; 161971, 1; 2752135920929651, 1
13^75+1 = [2, 1; 7, 1; 11, 1; 31, 1; 101, 1; 151, 1; 157, 1; 2411, 1; 11551, 1; 57751, 1; 2113801, 1; 28325071, 1; 966623849742301, 1; 3258254426373251, 1
47^50+1 = [2, 1; 5, 3; 13, 1; 17, 1; 521, 1; 27901, 1; 260201, 1; 9136473061, 1; 594553745104018868744801, 1
14^73-1 = [13, 1; 439, 1; 7708818770493814043599025468833, 1
14^73+1 = [3, 1; 5, 1; 293, 1; 124195272375239203, 1
17^68+1 = [2, 1; 41761, 1; 104466451393, 1
38^53-1 = [37, 1; 743, 1; 1114177494385601, 1; 74299888772887067959, 1
38^53+1 = [3, 1; 13, 1; 107, 1; 2969, 1; 5239571773129, 1
44^51-1 = [7, 1; 43, 1; 283, 1; 14519, 1; 113744216251, 1; 13908821686834391538539, 1
44^51+1 = [3, 3; 5, 1; 103, 1; 631, 1; 19891, 1; 9014673097, 1; 21405875942779901, 1
41^52+1 = [2, 1; 137, 1; 10313, 1; 10867897, 1; 67794169, 1
28^58+1 = [5, 1; 157, 1; 233, 1; 349, 1; 708359326721, 1
48^50+1 = [5, 3; 101, 1; 461, 1; 1326539778001, 1; 5633411028941, 1; 8095020975930143401, 1
18^67-1 = [17, 1; 864167, 1; 14184594510552113, 1; 562081533912939823, 1
18^67+1 = [19, 1; 100254379, 1; 14597889070451, 1; 17412147374909347, 1
24^61-1 = [23, 1; 15739, 1; 1416951311, 1; 1858425216920537117, 1; 3111460356271636883680109, 1
24^61+1 = [5, 2; 367, 1; 8034799, 1; 93359647, 1; 977208959123, 1; 61357956800593, 1; 1460314542488141, 1
30^57-1 = [7, 2; 19, 2; 29, 1; 191, 1; 33189733, 1; 316011085610449051, 1; 2098323645062285611121141, 1
30^57+1 = [13, 1; 31, 1; 67, 1; 2281, 1; 226758997, 1; 60563288311, 1; 1653398801508051043, 1
34^55-1 = [3, 1; 11, 2; 61, 1; 22571, 1; 45343, 1; 49831, 1; 4264333987, 1
34^55+1 = [5, 2; 7, 1; 23, 1; 259631, 1; 56233934021, 1; 87191110109357, 1; 75163328903964097539601, 1
45^51-1 = [2, 2; 11, 1; 19, 1; 109, 1; 1531, 1; 188879518520424412857091, 1; 33009788025075117650794669, 1
45^51+1 = [2, 1; 7, 1; 23, 1; 103, 1; 283, 1; 409, 1; 68443, 1; 102103, 1; 29335436267, 1; 2769417107629327, 1; 9428928689731043, 1
39^53-1 = [2, 1; 19, 1; 107, 1; 3923, 1; 2368685761590563, 1
39^53+1 = [2, 3; 5, 1; 5407, 1; 170010978689372035136190196567, 1
19^66+1 = [2, 1; 13, 2; 181, 1; 769, 1; 774797, 1; 205228610269, 1; 48381877771677135533, 1
42^52+1 = [17, 1; 313, 1; 183041, 1
23^62+1 = [2, 1; 5, 1; 53, 1; 373, 1; 21711433659565142917, 1
20^65-1 = [11, 1; 19, 1; 61, 1; 131, 1; 251, 1; 521, 1; 3121, 1; 3511, 1; 4421, 1; 90481, 1; 142559, 1; 9690539, 1; 4470064171, 1; 144142570154831, 1
20^65+1 = [3, 1; 7, 1; 2081, 1; 2549, 1; 152381, 1; 735408649, 1; 34458786390125761, 1
22^63-1 = [3, 3; 7, 2; 13, 2; 127, 1; 65899, 1; 297613, 1; 16968421, 1; 274392421115023, 1; 12271836836138419, 1
22^63+1 = [19, 1; 23, 1; 29, 1; 43, 1; 463, 1; 3571, 1; 86969, 1; 404671, 1; 5966803, 1; 9299179, 1; 22277258819047, 1
21^64+1 = [2, 1; 257, 1; 641, 1; 1409, 1; 527489, 1; 70660081537, 1
13^76+1 = [2, 1; 761, 1; 2281, 1; 14281, 1; 692513, 1; 62300665486585624081, 1
15^72+1 = [2, 1; 3169, 1; 7121, 1; 179953, 1; 1659649, 1; 1248882721, 1; 1076233596845085335953, 1
37^54+1 = [2, 1; 5, 1; 13, 1; 109, 1; 137, 1; 2917, 1; 144061, 1; 6582952003274308873, 1
46^51-1 = [3, 3; 5, 1; 7, 1; 103, 1; 1361, 1; 8059, 1; 8660100334911387121, 1; 301864818112420877836267, 1
46^51+1 = [19, 1; 47, 1; 109, 1; 409, 1; 3673, 1; 107093805778192889244007, 1
14^74+1 = [149, 1; 197, 1; 13270292968062854021, 1; 20869260239752113310657, 1
29^58+1 = [2, 1; 421, 1
26^60+1 = [17, 1; 41, 1; 1721, 1; 2081, 1; 26881, 1; 208826607601, 1; 296985885709361, 1; 7528533299625721, 1
17^69-1 = [2, 4; 47, 1; 307, 1; 25225573, 1; 9559382330644273, 1; 26552618219228090162977481, 1
17^69+1 = [2, 1; 3, 3; 7, 1; 13, 1; 139, 1; 1191693343, 1; 144905634142323992263, 1; 60844755602264877238459, 1
40^53-1 = [3, 1; 13, 1; 107, 1; 3710337187, 1; 1740695540599129, 1; 10682573878867427387, 1
40^53+1 = [41, 1
35^55-1 = [2, 1; 17, 1; 23, 1; 31, 1; 49831, 1; 55903, 1; 72271, 1; 2208546869, 1; 2260908423193372856201, 1
35^55+1 = [2, 2; 3, 2; 11, 2; 991, 1; 4951, 1; 132631, 1; 2681921038140191, 1; 1777716539623484791, 1
43^52+1 = [2, 1; 17, 1; 193, 1; 521, 1; 50440205609, 1; 359967267341875337, 1
50^50+1 = [41, 1; 61, 1; 101, 1; 62801, 1; 5122541, 1; 7622561, 1; 10946101, 1; 8903411298923101, 1; 10604434965481801, 1
31^57-1 = [2, 1; 3, 2; 5, 1; 331, 1; 571, 1; 7639, 1; 14251, 1; 36068660903683, 1; 88770666332610762169, 1
31^57+1 = [2, 5; 7, 2; 19, 2; 191, 1; 4903, 1; 1553023, 1; 98595072158281, 1; 3545592640701962728192781, 1
33^56+1 = [2, 1; 113, 1; 258721, 1; 384497, 1; 14937537217, 1; 703204309121, 1
47^51-1 = [2, 1; 23, 1; 37, 1; 61, 1; 1327, 1; 3571, 1; 10099, 1; 2127357527, 1; 7550870927, 1; 743712351035764423, 1
47^51+1 = [2, 4; 3, 2; 7, 1; 103, 1; 613, 1; 7039, 1; 216751, 1; 11048879, 1; 775862797, 1; 50246304977640328639, 1
38^54+1 = [5, 1; 17, 2; 73, 1; 577, 1; 6733, 1; 2083693, 1; 31966557661, 1; 174889487881, 1
18^68+1 = [113, 1; 929, 1; 6529, 1; 4942513, 1; 3670499942033, 1
28^59-1 = [3, 3; 1063, 1; 87134177825869551823, 1
28^59+1 = [29, 1; 709, 1; 62423, 1; 2357237985408057691, 1; 32838214266689135929, 1
44^52+1 = [41, 1; 113, 1; 809, 1; 100673, 1; 10306817, 1; 662209601, 1; 29858953764973737037041733001, 1
41^53-1 = [2, 3; 5, 1; 107, 1; 78160903, 1; 1285362831383, 1
41^53+1 = [2, 1; 3, 1; 7, 1; 46747, 1
24^62+1 = [577, 1; 1117, 1; 89621300725940655868216717, 1
30^58+1 = [17, 1; 53, 1; 233, 1; 1277, 1; 1038907789081, 1; 10740913221769, 1
19^67-1 = [2, 1; 3, 2; 588518621, 1; 1650922227287, 1; 24299939580826833879511, 1
19^67+1 = [2, 2; 5, 1; 122641223, 1; 1060719211, 1; 47852968968481, 1
48^51-1 = [13, 1; 47, 1; 181, 1; 3469, 1; 17137, 1; 1356350177521, 1; 597903848569921, 1; 4072835692996489, 1
48^51+1 = [7, 2; 37, 1; 61, 1; 103, 1; 307, 1; 919, 1; 1429, 1; 3385995061, 1; 15046928594194747, 1; 304237673259331993, 1
34^56+1 = [113, 1; 47441, 1; 37642417, 1; 18614617919369921, 1
13^77-1 = [2, 2; 3, 1; 23, 1; 419, 1; 859, 1; 18041, 1; 5229043, 1; 624958606550654822293, 1
13^77+1 = [2, 1; 7, 2; 29, 1; 22079, 1; 78947177, 1; 128011456717, 1
23^63-1 = [2, 1; 7, 2; 11, 1; 19, 1; 29, 1; 43, 1; 79, 1; 379, 1; 160651, 1; 170689, 1; 644869, 1; 5336717, 1; 7792003, 1; 408030421, 1; 978769387, 1
23^63+1 = [2, 3; 3, 3; 13, 2; 71, 1; 127, 1; 163, 1; 271, 1; 673, 1; 1117, 1; 2969, 1; 501161274307, 1; 3336613325137, 1; 22865554874031409, 1
15^73-1 = [2, 1; 7, 1
15^73+1 = [2, 4; 293, 1; 1607, 1
20^66+1 = [13, 1; 89, 1; 401, 1; 12277, 1; 72733, 1; 315481, 1; 1297693, 1; 7930693, 1; 170770770413, 1; 6881957521693, 1
22^64+1 = [28289, 1
39^54+1 = [2, 1; 37, 1; 109, 1; 613, 1; 761, 1; 9613, 1; 15013, 1; 2311921, 1; 545899989068281, 1
21^65-1 = [2, 2; 5, 2; 79, 1; 131, 1; 40841, 1; 189437, 1; 443431, 1; 516094151, 1
21^65+1 = [2, 1; 11, 1; 521, 1; 185641, 1; 7021471715414521, 1; 101619538800983513441, 1
14^75-1 = [11, 1; 13, 1; 31, 1; 211, 1; 1051, 1; 2851, 1; 3761, 1; 15511, 1; 110256001, 1; 758855846709601, 1
14^75+1 = [3, 2; 5, 3; 61, 1; 71, 1; 101, 1; 151, 1; 401, 1; 811, 1; 4001, 1; 1948981, 1; 1656843549451, 1; 106463872671151, 1; 10429823947688701, 1
45^52+1 = [2, 1; 401, 1; 5113, 1; 14801333702715041, 1; 558349069635422030890372117489, 1
42^53-1 = [41, 1; 107, 1; 18869, 1; 2969688024031, 1; 1313372442855743981, 1
42^53+1 = [43, 1; 743, 1; 47701, 1; 645329, 1; 31168559, 1; 15810572130737, 1; 402070443112853237, 1
17^70+1 = [2, 1; 5, 2; 29, 1; 281, 1; 21881, 1; 63541, 1; 5766433, 1; 100688449, 1; 348838692130131428210021, 1
37^55-1 = [2, 2; 3, 2; 11, 2; 41, 1; 2663, 1; 4271, 1; 16831, 1; 27611, 1; 325271, 1; 1336275931, 1; 1855860368209, 1
37^55+1 = [2, 1; 19, 1; 23, 1; 2069, 1; 1824841, 1; 3511033241, 1; 98389112119, 1; 478826530601, 1
29^59-1 = [2, 2; 7, 1; 11415793, 1; 64194072873983107981983523, 1
29^59+1 = [2, 1; 3, 1; 5, 1; 9677, 1; 134494159, 1
26^61-1 = [5, 2; 2441, 1; 12622609, 1; 136644408227, 1
26^61+1 = [3, 3; 1831, 1; 73853189, 1; 123457071655259, 1
46^52+1 = [521, 1; 3009553, 1; 4477457, 1; 32781677235598497149737, 1
35^56+1 = [2, 1; 113, 1; 337, 1; 449, 1; 22191649, 1
31^58+1 = [2, 1; 13, 1; 37, 1; 233, 1; 18329, 1; 646550190571213, 1
40^54+1 = [61, 1; 109, 1; 1601, 1; 4969, 1; 41941, 1; 81649, 1; 100549, 1; 6961681, 1; 16777215995904000001, 1
33^57-1 = [2, 5; 1123, 1; 3877, 1; 9007, 1; 60767517259, 1; 75999152791, 1; 4862490466531, 1; 29228473104019333, 1
33^57+1 = [2, 1; 7, 1; 17, 1; 151, 1; 229, 1; 2699, 1; 143261, 1; 49225733, 1; 23596244629, 1; 109840597331, 1
43^53-1 = [2, 1; 3, 1; 7, 1; 444853169, 1
43^53+1 = [2, 2; 11, 1; 107, 1; 2396723879629, 1; 223403759365757, 1
18^69-1 = [7, 3; 17, 1; 47, 1; 599, 1; 4831, 1; 7468009, 1; 20801237997245359, 1
18^69+1 = [19, 1; 139, 1; 307, 1; 3313, 1; 824418892380831861979, 1; 3913037558632733048069409307, 1
50^51-1 = [7, 2; 103, 1; 137, 1; 2551, 1; 43339993937, 1; 262231331604679, 1
50^51+1 = [3, 2; 17, 2; 19, 1; 43, 1; 33457, 1; 235402888003, 1; 373817122061401, 1; 5338225155840794744251, 1
28^60+1 = [41, 1; 601, 1; 7321, 1; 29201, 1; 41641, 1; 614657, 1; 51605161, 1; 7257822361, 1; 2863024493281, 1
13^78+1 = [2, 1; 5, 1; 17, 1; 313, 1; 1873, 1; 28393, 1; 380329, 1; 2874105113569, 1; 1418792215861230619657, 1
38^55-1 = [11, 2; 37, 1; 991, 1; 194681, 1; 224027, 1; 28781768489, 1; 1247726246121751293068161, 1
38^55+1 = [3, 1; 13, 1; 23, 1; 331, 1; 463, 1; 1123, 1; 156971, 1; 1545391, 1; 2031671, 1
47^52+1 = [2, 1; 97, 1; 25153, 1; 4612297, 1; 4726517464818819203167095821633, 1
24^63-1 = [19, 1; 23, 1; 29, 1; 43, 1; 239, 1; 601, 1; 2017, 1; 4987, 1; 28771, 1; 2585521, 1; 10426753, 1; 78066619, 1; 7851475297, 1
24^63+1 = [5, 2; 7, 2; 79, 1; 127, 1; 199, 1; 631, 1; 1009, 1; 5167, 1; 7561, 1; 12433, 1; 29863, 1; 183458857, 1; 433178719, 1; 3711692194858030321, 1
19^68+1 = [2, 1; 17, 2; 409, 1; 3833, 1; 29935777, 1; 2168875009642198021909889, 1
15^74+1 = [2, 1; 113, 1; 149, 1; 52987400285765657, 1; 16882057614458789568659053197037, 1
51^51-1 = [2, 1; 5, 2; 7, 1; 239, 1; 379, 1; 1259, 1; 6529, 1; 6733, 1; 403547, 1; 31695073, 1; 555154007, 1; 1716587581, 1; 8120815069, 1
51^51+1 = [2, 2; 13, 1; 103, 1; 307, 1; 2551, 1; 276319, 1; 154553257, 1; 154640443561, 1; 121116871999237, 1; 13292647508176547593, 1
41^54+1 = [2, 1; 13, 1; 29, 2; 109, 1; 397, 1; 433, 1; 1009, 1; 1993, 1; 4380589, 1; 12858553, 1
44^53-1 = [43, 1; 107, 1; 182639, 1; 54279739, 1; 45939298661, 1; 2956375229099640912752761, 1
44^53+1 = [3, 2; 5, 1; 23321, 1; 5246239663591, 1; 215078346901001, 1
14^76+1 = [41, 1; 937, 1
30^59-1 = [29, 1; 7583077905022163, 1; 8733964502075179, 1; 14198139768945840610067863, 1
30^59+1 = [31, 1; 269041, 1; 663968183, 1
23^64+1 = [2, 1; 1260241990896941895937, 1
20^67-1 = [19, 1; 906779, 1; 607366391, 1
20^67+1 = [3, 1; 7, 1; 269, 1; 155933666228489, 1
22^65-1 = [3, 1; 7, 1; 79, 1; 521, 1; 2003, 1; 245411, 1; 330331, 1; 85107437663, 1; 37987538607331, 1; 3198633375097421, 1
22^65+1 = [23, 1; 131, 1; 224071, 1; 3702791, 1; 59512246816751, 1; 1169669660009891, 1; 12296089473177511, 1
21^66+1 = [2, 1; 13, 1; 17, 1; 61, 1; 89, 1; 661, 1; 3181, 1; 724051700079313, 1; 4718573764413203147069, 1
34^57-1 = [3, 2; 11, 1; 397, 1; 6271, 1; 12541, 1; 575777, 1; 150586169165353, 1; 297141194226589, 1; 3748609209536524633, 1
34^57+1 = [5, 1; 7, 1; 1123, 1; 50506651087, 1; 421461812731, 1; 8497147335047089, 1; 1867518117232382203, 1
17^71-1 = [2, 4
17^71+1 = [2, 1; 3, 2; 6959, 1; 329853647, 1
48^52+1 = [15601, 1; 5308417, 1; 83853960863089, 1; 942499063408906797898417, 1
39^55-1 = [2, 1; 19, 1; 23, 1; 31, 1; 89, 1; 191, 1; 401, 1; 2531, 1; 1612564493, 1
39^55+1 = [2, 3; 5, 2; 11, 2; 12211, 1; 41011, 1; 47741, 1; 71232151, 1; 649979193601, 1; 16344485873101, 1
45^53-1 = [2, 2; 11, 1
45^53+1 = [2, 1; 23, 1; 107, 1; 12721, 1; 39715089823374481, 1; 224623416402142669, 1
42^54+1 = [5, 1; 37, 1; 109, 1; 353, 1; 673, 1; 4621, 1; 41966317, 1; 814309985977044589, 1; 242939258767771734529, 1
26^62+1 = [677, 1; 7193, 1; 706801, 1; 4833655657, 1; 16468551973, 1; 13493160747690157637, 1
29^60+1 = [2, 1; 41, 1; 241, 1; 9001, 1; 87121, 1; 353641, 1; 1593841, 1; 55576681, 1; 6103563899172302171321, 1
37^56+1 = [2, 1; 17, 1; 113, 1; 7118330801, 1; 103308219233, 1; 20655497029553, 1
18^70+1 = [5, 3; 13, 1; 29, 1; 281, 1; 1373, 1; 2801, 1; 15101, 1; 17837, 1; 145501, 1; 1623833, 1; 22576710941, 1; 29420891411500261, 1
31^59-1 = [2, 1; 3, 1; 5, 1; 125693727758648407613, 1
31^59+1 = [2, 5; 1048987974531167443121633837864965091749, 1
13^79-1 = [2, 2; 3, 1; 3793, 1; 16433, 1; 6709792556882923, 1
13^79+1 = [2, 1; 7, 1; 25202746699639, 1
35^57-1 = [2, 1; 13, 1; 17, 1; 97, 1; 131058353, 1; 110994071937949, 1; 48792067336049769437, 1
35^57+1 = [2, 2; 3, 3; 397, 1; 19609, 1; 13246687, 1; 265414653839119, 1; 455914145581257265993, 1
33^58+1 = [2, 1; 5, 1; 109, 1; 233, 2; 1277, 1; 15559931209, 1; 13359072262646035080724944841, 1
40^55-1 = [3, 1; 13, 1; 67, 1; 148721, 1; 910361, 1; 2625641, 1; 1079314963, 1; 34800349194161, 1; 86193242841822798001, 1
40^55+1 = [11, 3; 23, 1; 41, 1; 20641, 1; 3687047401291, 1; 444783032873807, 1; 28819072829090287811, 1
46^53-1 = [3, 2; 5, 1; 41341, 1; 697756643452794847, 1
46^53+1 = [47, 1; 107, 1; 1978597, 1; 30175127, 1; 192079967356758001, 1
15^75-1 = [2, 1; 7, 1; 11, 1; 61, 1; 241, 1; 4931, 1; 20101, 1; 46751, 1; 39225301, 1; 316091724098401, 1; 7112705843777290751, 1
15^75+1 = [2, 4; 31, 1; 151, 1; 211, 1; 1531, 1; 19231, 1; 44101, 1; 142111, 1; 712651, 1; 2080801, 1; 5062201, 1; 9555151, 1; 34800625873379851, 1
43^54+1 = [2, 1; 5, 2; 37, 1; 829, 1; 3416953, 1; 222980186914561, 1; 48202208432980957, 1
19^69-1 = [2, 1; 3, 3; 127, 1; 277, 1; 2347, 1; 1530559, 1; 9555459481, 1; 16497763013, 1; 1335495402823, 1; 71425475193776503, 1
19^69+1 = [2, 2; 5, 1; 7, 3; 47, 1; 139, 1; 691, 1; 2531, 1; 5521, 1; 34409530237, 1; 1552450817964462079, 1; 156832034288392140949, 1
14^77-1 = [13, 1; 67, 1; 3851, 1; 4027, 1; 59753, 1; 140449, 1; 1154539, 1; 8108731, 1; 53380217213346395075243, 1
14^77+1 = [3, 1; 5, 1; 23, 1; 56519, 1; 7027567, 1; 11737870057, 1; 293626525039, 1; 11201223484991, 1; 36707095599329, 1
28^61-1 = [3, 3; 584814157619, 1; 108152440326426913, 1
28^61+1 = [29, 1; 6101, 1; 11743477, 1; 109721921, 1
24^64+1 = [573569, 1; 21635329, 1; 609470977, 1; 4749538561, 1; 86970465821421497857, 1
50^52+1 = [97, 1; 7489, 1; 64433, 1; 1979734077579218689, 1
38^56+1 = [113, 1; 539089, 1; 8065073, 1; 23755649, 1; 461254585180157187328960488929, 1
20^68+1 = [137, 1; 2857, 1; 3673, 1; 160001, 1; 230734661278799273, 1; 2878870785836948026295038313, 1
23^65-1 = [2, 1; 11, 1; 911, 1; 31721, 1; 292561, 1; 4922971, 1; 47691619, 1; 480393499, 1
23^65+1 = [2, 3; 3, 1; 31, 1; 41, 1; 131, 1; 211, 1; 21001515080686141, 1
21^67-1 = [2, 2; 5, 1; 269, 1; 324363426169571, 1; 312929837239650768379490219650039, 1
21^67+1 = [2, 1; 11, 1; 278051, 1
17^72+1 = [2, 1; 18913, 1; 184417, 1; 7230961, 1; 48661191868691111041, 1
22^66+1 = [5, 1; 97, 1; 157, 1; 1321, 1; 1489, 1; 9617835527609, 1; 73194743542229, 1; 202786475872944559021009, 1
47^53-1 = [2, 1; 23, 1; 107, 1; 20429593, 1; 170950948322148276790648352651, 1
47^53+1 = [2, 4; 3, 1; 2976682673, 1
30^60+1 = [41, 1; 73, 1; 241, 1; 3361, 1; 12241, 1; 63361, 1; 9820801, 1; 8987660137, 1; 87335713721, 1
41^55-1 = [2, 3; 5, 2; 23, 1; 3631, 1; 132947, 1; 579281, 1; 38570071, 1; 4499415031, 1
41^55+1 = [2, 1; 3, 1; 7, 1; 11, 2; 61, 1; 2311, 1; 4111, 1; 18701, 1; 5914591, 1; 5669871130991, 1; 3965546268971820391, 1
44^54+1 = [13, 1; 109, 1; 149, 1; 1753, 1; 2137, 1; 53353, 1; 15776749, 1; 63101809, 1; 3337448720869, 1; 889247314335298801357, 1
51^52+1 = [2, 1; 73, 1; 313, 1; 46337, 1; 279137, 1; 38883213942350233, 1; 7455035733657197125961, 1
34^58+1 = [13, 1; 89, 1; 5032081, 1; 1076312344344269, 1
39^56+1 = [2, 1; 17, 1; 113, 1; 449, 1; 1009, 1; 3457, 1; 45534289, 1
48^53-1 = [47, 1; 107, 1; 9013085165975591837557, 1
48^53+1 = [7, 2; 385735606172209, 1; 1446050602074967789, 1
13^80+1 = [2, 1; 2657, 1; 441281, 1; 444641, 1; 4335041, 1; 283763713, 1; 1116130730334721, 1; 1266394281048641, 1
18^71-1 = [17, 1; 569, 1; 171677613761, 1; 23821298356519, 1; 8313279867213693856690162577, 1
18^71+1 = [19, 1; 5113, 1; 1206599617106390561, 1; 99988492874568924239703307744649, 1
26^63-1 = [5, 2; 19, 1; 37, 1; 127, 1; 337, 1; 90847, 1; 3083473, 1; 308933353, 1; 321272407, 1; 2997305809, 1; 25460272531, 1
26^63+1 = [3, 5; 7, 2; 31, 1; 43, 1; 71, 2; 211, 1; 43093, 1; 59011, 1; 1296037, 1; 11822077, 1; 102966067, 1; 1560259846741, 1
29^61-1 = [2, 2; 7, 1; 1831, 1; 13751019673, 1; 28004534179193290272271310975007581, 1
29^61+1 = [2, 1; 3, 1; 5, 1; 367, 1; 20884950575579566643, 1
52^52+1 = [89, 1; 82153, 1; 383969, 1; 94072729297, 1
45^54+1 = [2, 1; 13, 1; 37, 1; 1013, 1; 8521, 1; 157933, 1; 237277, 1; 1840016161, 1; 23839875721, 1; 17870950328293, 1
42^55-1 = [11, 2; 41, 1; 181, 1; 881, 1; 991, 1; 1601, 1; 2971, 1; 531922931, 1; 5942675707, 1
42^55+1 = [23, 3; 43, 1; 67, 1; 131, 1; 23201, 1; 618421, 1; 20465173367, 1
15^76+1 = [2, 1; 17, 1; 761, 1; 1489, 1; 7753, 1; 114001, 1
37^57-1 = [2, 2; 3, 3; 7, 1; 67, 1; 229, 1; 4413131, 1; 75203859636364813, 1; 3933538789573170812717, 1
37^57+1 = [2, 1; 19, 2; 31, 1; 43, 1; 191, 1; 53685451, 1; 8096700889, 1; 559698440382833, 1; 113486778854966833, 1
14^78+1 = [37, 1; 53, 1; 197, 1; 1033, 1; 140557, 1; 178616881, 1; 377069317, 1; 232815192715561, 1; 337803644207780297, 1
31^60+1 = [2, 1; 409, 1; 1129, 1; 35401, 1; 1546081, 1; 852890113921, 1; 727422334085254365392641, 1
19^70+1 = [2, 1; 29, 1; 181, 1; 421, 1; 5237, 1; 116895941, 1; 14533200697, 1; 16936647121, 1; 41921106691107421, 1
35^58+1 = [2, 1; 349, 1; 613, 1
33^59-1 = [2, 5; 625283, 1; 26637127099650245465999, 1
33^59+1 = [2, 1; 17, 1; 17481701, 1; 40458071, 1
24^65-1 = [23, 1; 53, 1; 6553, 1; 15913, 1; 346201, 1; 6895253, 1; 1679822951, 1
24^65+1 = [5, 3; 11, 1; 131, 1; 5791, 1; 33203, 1; 76831, 1; 104911, 1; 1317941, 1; 619691539831653045336579590501, 1
40^56+1 = [17, 2; 113, 1; 337, 1; 641, 1; 929, 1
28^62+1 = [5, 1; 157, 1; 17981, 1; 32660609, 1; 41183608552636142233, 1
20^69-1 = [19, 1; 139, 1; 421, 1; 691, 1; 1381, 1; 119553964489, 1; 113317059163579, 1; 46266279097921483078651, 1
20^69+1 = [3, 2; 7, 1; 47, 1; 127, 1; 461, 1; 967, 1; 563041, 1; 197317369, 1; 3274400525856244223, 1
46^54+1 = [13, 1; 29, 1; 73, 1; 344257, 1; 4416877, 1; 8375617, 1; 10717097219713, 1
17^73-1 = [2, 4; 293, 1; 1621745371, 1; 3038535503, 1; 319344640907, 1; 596137412912777, 1
17^73+1 = [2, 1; 3, 2; 284117, 1; 1517302254487813, 1
43^55-1 = [2, 1; 3, 1; 7, 1; 3500201, 1; 6038099, 1; 3664405207, 1; 4701988171, 1; 366423971294701, 1
43^55+1 = [2, 2; 11, 2; 23, 1; 67, 1; 359063, 1; 3341101, 1; 3470039, 1; 7545890441, 1
23^66+1 = [2, 1; 5, 1; 37, 1; 53, 1; 7549, 1; 924209309, 1; 1853387306082786629, 1
21^68+1 = [2, 1; 137, 1; 953, 1; 97241, 1; 2610929, 1; 2691707418840001, 1; 5357156372335908409, 1
22^67-1 = [3, 1; 7, 1; 1609, 1; 3159310638577, 1; 149975938430081, 1; 772984350552229340405744597, 1
22^67+1 = [23, 1; 1484803176334477, 1; 5892621097397450166023917042943, 1
50^53-1 = [7, 2; 743, 1; 1697, 1; 9973753, 1; 825025103671, 1; 272334912935459277200953, 1
50^53+1 = [3, 1; 17, 1; 107, 1; 14348939419, 1; 9911826142994299, 1; 4234603544656703361353843, 1
38^57-1 = [37, 1; 1483, 1; 946961, 1; 2730529, 1; 2472887089, 1; 5814949641992539, 1; 29604281041250521291043, 1
38^57+1 = [3, 2; 7, 1; 13, 1; 67, 1; 191, 1; 3079, 1; 25537, 1; 34388297791, 1; 2557253710679, 1; 15854528121577, 1; 54452339548543, 1
30^61-1 = [29, 1; 296217221, 1; 2935763471, 1; 6147298583195971, 1; 1811929227218224761617, 1
30^61+1 = [31, 1; 5754549342828866862470636001654375469235641, 1
13^81-1 = [2, 2; 3, 5; 61, 1; 650971, 1; 1609669, 1; 57583418699431, 1; 1102123844336048491, 1
13^81+1 = [2, 1; 7, 1; 19, 1; 157, 1; 163, 1; 271, 1; 937, 1; 30133, 1; 73387, 1; 904663, 1; 1094473, 1; 259640317, 1; 770321341, 1; 762615992953, 1
47^54+1 = [2, 1; 5, 1; 13, 1; 17, 1; 109, 1; 1153, 1; 1213, 1; 1621, 1; 2341, 1; 2377, 1; 4021, 1; 10909, 1; 43047067786381, 1
41^56+1 = [2, 1; 17, 1; 23633, 1; 30689, 1; 1945700849, 1; 234850742033, 1; 3165968065606081, 1; 1090658541704502389921, 1
34^59-1 = [3, 1; 11, 1; 763579, 1
34^59+1 = [5, 1; 7, 1; 14869, 1; 361336951504123657, 1; 5942770823154896362982945993, 1
18^72+1 = [97, 1; 577, 1; 1153, 1; 2474209, 1; 113607841, 1; 42569092513, 1; 994416129981667873, 1
44^55-1 = [43, 1; 3301, 1; 6337, 1; 3835261, 1; 12958962721, 1; 1818796420541, 1; 4391645526973, 1
44^55+1 = [3, 2; 5, 2; 23, 1; 89, 1; 421, 1; 991, 1; 1321, 1; 1741, 1; 3037, 1; 16061, 1; 2625811, 1; 4316489, 1; 439776041, 1; 24561393887581, 1
51^53-1 = [2, 1; 5, 2; 18029117, 1; 10081630639, 1; 57234982774399, 1; 3346107475207652130011, 1
51^53+1 = [2, 2; 13, 1; 107, 1; 1697, 1; 10909186637846333, 1
14^79-1 = [13, 1; 11289101, 1; 38775097, 1
14^79+1 = [3, 1; 5, 1; 160687, 1; 17428672520072491888720964879939, 1
26^64+1 = [257, 1; 5394435329, 1; 7796647730590584577, 1; 107248611633411791617, 1
15^77-1 = [2, 1; 7, 2; 67, 1; 463, 1; 2333, 1; 5237, 1; 8537, 1; 1743463, 1; 28095816025663, 1
15^77+1 = [2, 4; 23, 1; 4159, 1; 10678711, 1; 23504771357, 1; 96821654187863868183691, 1
29^62+1 = [2, 1; 421, 1; 2685097, 1; 1827530475629, 1
39^57-1 = [2, 1; 7, 1; 19, 2; 223, 1; 146681, 1; 106808885663, 1; 150213543013, 1; 1337171007589, 1
39^57+1 = [2, 3; 5, 1; 1483, 1; 7297, 1; 20749, 1; 83520733, 1; 88520264890723, 1; 69699377407912279, 1
48^54+1 = [5, 1; 73, 1; 461, 1; 34849, 1; 5306113, 1; 58800587853529, 1; 294676606848817, 1; 2115306485221840921, 1
19^71-1 = [2, 1; 3, 2; 17041, 1; 49417, 1; 19840332702980239, 1; 1367953340395774788360889, 1
19^71+1 = [2, 2; 5, 1; 2059828429, 1; 2666842361, 1; 27801690183630617, 1
42^56+1 = [113, 1; 2689, 1; 218401, 1; 2552816449, 1; 5538775313, 1; 85687185809, 1
45^55-1 = [2, 2; 11, 2; 89, 1; 881, 1; 1471, 1; 2851, 1; 34211, 1; 10695631, 1; 35341681, 1; 789398501, 1; 35571508524949, 1; 189042704081237051, 1
45^55+1 = [2, 1; 23, 1; 41, 1; 67, 1; 97841, 1; 497170117203343, 1; 102816644479677642158921, 1
52^53-1 = [3, 1; 17, 1; 107, 1
52^53+1 = [53, 2; 181194015068926422899222020415627, 1
37^58+1 = [2, 1; 5, 1; 137, 1; 188862267838638894183617588461, 1
31^61-1 = [2, 1; 3, 1; 5, 1; 14519, 1; 50848444051, 1; 12712081567468100953, 1; 13578586277937589671409, 1
31^61+1 = [2, 5; 977, 1; 60290903116166148697, 1
17^74+1 = [2, 1; 5, 1; 29, 1; 194296461049, 1; 1017719645617, 1; 1649702304713, 1; 3805112685822988789997017, 1
20^70+1 = [41, 1; 197, 1; 281, 2; 401, 1; 2801, 1; 14561, 1; 140281, 1; 222361, 1; 1424354653, 1; 13428508670641, 1; 608569597978252121, 1
24^66+1 = [13, 1; 73, 1; 349, 1; 577, 1; 1321, 1; 11617, 1; 212917, 1; 4666069, 1; 261501808988233731193, 1; 522913580874289935529, 1
35^59-1 = [2, 1; 17, 1; 4603, 1; 128960549, 1; 2322377756400939037, 1
35^59+1 = [2, 2; 3, 2; 24781, 1; 18545117, 1; 1111584191, 1; 44865317981742568759439, 1
33^60+1 = [2, 1; 97, 1; 521, 1; 6113, 1; 15313, 1; 807281, 1; 91844017, 1; 4702840151252041, 1; 555357410666628001, 1
28^63-1 = [3, 5; 19, 2; 113, 1; 271, 1; 1009, 1; 444979, 1; 4422461, 1; 223934956756993189, 1; 154154940307497300453157, 1
28^63+1 = [29, 1; 37, 1; 43, 1; 127, 1; 631, 1; 757, 1; 2269, 1; 13007, 1; 29443, 1; 35771, 1; 102547, 1; 132679, 1; 546211, 1; 1905121, 1; 164630467, 1; 1994659633, 1; 28927311337, 1
21^69-1 = [2, 2; 5, 1; 47, 1; 463, 1; 19597, 1; 459878292118921111, 1; 139870566115103282847737, 1
21^69+1 = [2, 1; 11, 1; 139, 1; 277, 1; 421, 1; 461, 1; 599, 1; 691, 1; 2215825387044753577, 1
23^67-1 = [2, 1; 11, 1; 269, 1; 2152900439563539121, 1
23^67+1 = [2, 3; 3, 1
22^68+1 = [73, 1; 3209, 1; 27385777, 1; 132928441, 1
40^57-1 = [3, 2; 13, 1; 547, 1; 62929, 1; 52960639, 1; 5071725282008449, 1; 70481514601025641025641025641, 1
40^57+1 = [7, 1; 41, 1; 223, 1; 419, 1; 1597, 1; 100192921300171974614927, 1
13^82+1 = [2, 1; 5, 1; 17, 1; 1089083758501, 1; 1508425553233, 1
53^53-1 = [2, 2; 13, 1; 107, 1; 141829, 1; 16505521259654533, 1; 143470720478589313288313473, 1
53^53+1 = [2, 1; 3, 3; 991313, 1; 2644277, 1; 5324593, 1; 14443842647093, 1; 19604216783737, 1
46^55-1 = [3, 2; 5, 2; 727, 1; 1409, 1; 9901, 1; 181787, 1; 232871, 1; 253661, 1; 915391, 1; 9425043975161, 1
46^55+1 = [11, 2; 31, 1; 47, 1; 71, 1; 181, 1; 661, 1; 991, 1; 12211, 1; 399719, 1; 104811719, 1; 1805718764081, 1; 2223777861466481, 1
43^56+1 = [2, 1; 113, 1; 3713921, 1; 7155121, 1; 5844100138801, 1; 857869846157969, 1
30^62+1 = [17, 1; 53, 1; 1028333, 1; 28722878633, 1; 11974742836578872916206719364929, 1
38^58+1 = [5, 1; 17, 2; 349, 1; 4177, 1
18^73-1 = [17, 1; 439, 1; 239879, 1; 846217, 1; 118874953, 1
18^73+1 = [19, 1
14^80+1 = [193, 1; 641, 1; 14401, 1; 32801, 1; 11284732320255809, 1; 117686299357503737281, 1
15^78+1 = [2, 1; 13, 2; 113, 1; 157, 1; 3877, 1; 11909, 1; 15289, 1; 15601, 1; 16433, 1; 18617, 1; 30313817, 1; 151747597, 1; 12833766874934773, 1
50^54+1 = [13, 1; 37, 1; 41, 1; 61, 1; 73, 1; 109, 1; 157, 1; 3061, 1; 5761801, 1; 15687625501, 1; 1748306798101261, 1; 2181938199770341, 1
34^60+1 = [41, 1; 1321, 1; 74521, 1; 1336337, 1; 6220385881, 1; 9465822281, 1; 1785792568561, 1; 243489425809747617001, 1
41^57-1 = [2, 3; 5, 1; 1723, 1; 8209, 1; 12541, 1; 8836483, 1; 87423871753, 1; 100200775387183, 1; 3291273019692283, 1
41^57+1 = [2, 1; 3, 2; 7, 1; 191, 1; 547, 1; 571, 1; 2573209, 1; 83306471920220930893, 1; 547785610778958259612376471, 1
47^55-1 = [2, 1; 11, 2; 23, 1; 31, 1; 14621, 1; 134707, 1; 495622931, 1; 398959160491, 1
47^55+1 = [2, 4; 3, 1; 389357, 1; 4778021, 1; 15760471, 1; 132277876039, 1
26^65-1 = [5, 3; 11, 1; 8641, 1; 10271, 1; 27764777, 1; 3574533119, 1; 7106335471, 1; 161404898442841, 1
26^65+1 = [3, 3; 131, 1; 431, 1; 521, 1; 937, 1; 1021, 1; 6449, 1; 38299, 1; 397073, 1; 255692934121, 1; 50815915796881, 1; 143608105465241, 1
44^56+1 = [17, 1; 241, 1; 449, 1; 1009, 1; 3457, 1; 991873, 1; 2300965548823537, 1; 11877622714413569, 1; 684164473040964833, 1
19^72+1 = [2, 1; 241, 1; 577, 1; 1009, 1; 4657, 1; 14929, 1; 15073, 1; 29569, 1; 563377, 1; 7957659850849, 1; 221901363412892497, 1
29^63-1 = [2, 2; 7, 2; 13, 1; 67, 1; 6637, 1; 14437, 1; 41203, 1; 88009573, 1; 51473298317533, 1; 52012313485270741, 1
29^63+1 = [2, 1; 3, 3; 5, 1; 19, 1; 43, 1; 127, 1; 271, 1; 379, 1; 1035469, 1; 10435069, 1; 574995877, 1; 8220076663, 1; 68630611242149057557, 1
51^54+1 = [2, 1; 37, 1; 109, 1; 1301, 1; 182773, 1; 309629344358025127801, 1; 7568656507911929318087257, 1
39^58+1 = [2, 1; 349, 1; 761, 1; 6061697, 1; 1616210112221, 1; 33099537219253, 1
17^75-1 = [2, 4; 151, 1; 307, 1; 2551, 1; 5101, 1; 5351, 1; 88741, 1; 26278001, 1; 6566760001, 1; 11330289301, 1; 1995937064371951, 1
17^75+1 = [2, 1; 3, 3; 7, 1; 11, 1; 13, 1; 31, 1; 71, 1; 101, 1; 2851, 1; 238212511, 1; 2414909984054562151, 1; 4064228544226537005066401, 1
20^71-1 = [19, 1; 201161092255316201234202042361, 1
20^71+1 = [3, 1; 7, 1; 569, 1; 3068721247, 1; 3389724375173873063832460218247, 1
13^83-1 = [2, 2; 3, 1; 12451, 1; 1383113, 1
13^83+1 = [2, 1; 7, 1; 167, 1; 499, 1
31^62+1 = [2, 1; 13, 1; 37, 1; 415153, 1
48^55-1 = [11, 2; 23, 1; 47, 1; 541, 1; 911, 1; 39359, 1; 73245991369, 1; 133346010356326028004534788938271, 1
48^55+1 = [7, 2; 2311, 1; 3631, 1; 233641, 1; 5200081, 1; 10222411, 1; 17515852613887, 1; 28224390310692207088269781, 1
24^67-1 = [23, 1; 269, 1; 96677174494301, 1
24^67+1 = [5, 2; 140633939, 1; 2853572850064208346290342691280609, 1
37^59-1 = [2, 2; 3, 2; 1065262887626860537583, 1
37^59+1 = [2, 1; 19, 1; 673781, 1; 1048366055338267, 1; 118930771686451557373, 1
42^57-1 = [13, 1; 41, 1; 139, 1; 229, 1; 457, 1; 4523, 1; 1482402079, 1; 241439529047, 1
42^57+1 = [43, 1; 1723, 1; 15277, 1; 23029, 1; 1531094329, 1; 455459569835623, 1; 10573773017297431501875439, 1
21^70+1 = [2, 1; 13, 1; 17, 1; 29, 1; 41, 1; 3697, 1; 50261, 1; 4325861, 1; 920421641, 1; 68454248717, 1; 92152520881, 1
45^56+1 = [2, 1; 17, 1; 113, 1; 494562511489, 1
23^68+1 = [2, 1; 137, 1; 139921, 1; 283162745757740538620032064126776401913969, 1
28^64+1 = [9473, 1; 836609, 1; 1750913, 1; 33056264688182274910972033, 1
22^69-1 = [3, 2; 7, 1; 13, 2; 4463, 1; 1323064018651, 1; 60575166785239, 1
22^69+1 = [23, 2; 47, 1; 139, 1; 277, 1; 461, 1; 463, 1; 1381, 1; 1933, 1; 176227, 1; 245494445849562491, 1; 9552007992825634081, 1
33^61-1 = [2, 5; 8545613, 1; 24461333167483, 1; 728894223505535436867383800009, 1
33^61+1 = [2, 1; 17, 1; 353384347, 1; 4481450375424591159680464717, 1
35^60+1 = [2, 1; 41, 1; 401, 1; 761, 1; 2441, 1; 3761, 1; 5737, 1; 9601, 1; 750313, 1; 4598201, 1; 392517673, 1; 111194154961, 1
52^54+1 = [5, 1; 37, 1; 109, 1; 541, 1; 7308913, 1; 2290013533, 1; 2371258261, 1; 4648485432457, 1; 10564243418012961709, 1
14^81-1 = [13, 1; 163, 1; 211, 1; 397, 1; 4861, 1; 18973, 1; 854582077, 1; 1427145211, 1; 299113818931, 1
14^81+1 = [3, 5; 5, 1; 19, 1; 61, 1; 1459, 1; 132049, 1; 2884897, 1; 1177426963, 1; 120850766857, 1; 789080627989, 1; 69205137817155935977, 1
18^74+1 = [5, 2; 13, 1; 149, 1; 1481, 1; 3257, 1; 245916653, 1; 2790448537, 1; 10763275729, 1; 647596604061431090273, 1
15^79-1 = [2, 1; 7, 1; 317, 1; 289141, 1
15^79+1 = [2, 4; 7113319, 1; 46872275419, 1; 102274698919, 1; 8508107485100663161, 1; 62117692148169172283, 1
40^58+1 = [1601, 1; 74435461, 1; 13376719841263353095343548507171021, 1
30^63-1 = [7, 3; 19, 1; 29, 1; 71, 1; 113, 1; 127, 1; 379, 1; 93997, 1; 116047, 1; 729027001, 1; 73392189661173853, 1
30^63+1 = [13, 1; 31, 1; 37, 1; 43, 1; 67, 1; 163, 1; 631, 1; 36037, 1; 120871, 1; 1118041, 1; 10214359, 1; 1250258563, 1
43^57-1 = [2, 1; 3, 2; 7, 1; 229, 1; 631, 1; 2699, 1; 4219, 1; 4789, 1; 46399, 1; 1849563931, 1; 2137444528747943, 1; 5364496730517951157, 1
43^57+1 = [2, 2; 11, 1; 13, 1; 139, 1; 790819, 1; 246858439628645832157006697407, 1
53^54+1 = [2, 1; 5, 1; 109, 1; 281, 1; 1153, 1; 1621, 1; 6841, 1; 16453, 1; 18419690246401, 1
46^56+1 = [17, 1; 113, 1; 929, 1; 5792081, 1; 1269398609, 1
38^59-1 = [37, 1; 1063, 1; 1181, 1; 12037, 1; 46021, 1; 1894609, 1
38^59+1 = [3, 1; 13, 1; 13018462432992822178052993720857, 1
19^73-1 = [2, 1; 3, 2; 893943109, 1; 109796425517837, 1; 391818505243975817655620850033223, 1
19^73+1 = [2, 2; 5, 1; 1168845771004542397619, 1; 2603189638448754530124997, 1
26^66+1 = [181, 1; 677, 1; 2521, 1; 11518277, 1; 648056861, 1; 2665780306333, 1
34^61-1 = [3, 1; 11, 1; 22937, 1; 2214379423, 1; 480996815213, 1
34^61+1 = [5, 1; 7, 1; 977, 1; 8595023, 1; 1937783707, 1; 12066103736081, 1; 894918334993191527, 1; 486463673172169891637, 1
50^55-1 = [7, 2; 23, 1; 991, 1; 1871, 1; 49391, 1; 73679, 1; 110441, 1; 6377551, 1; 59337433, 1; 618387881, 1; 6804382065416431, 1
50^55+1 = [3, 1; 11, 2; 17, 1; 89, 1; 2531, 1; 131561, 1; 557041, 1; 81046630487681, 1; 1075746309759859, 1
17^76+1 = [2, 1; 41761, 1; 11355003629541687711335762857918877977, 1
41^58+1 = [2, 1; 29, 3; 5801, 1; 873133, 1; 17629681, 1; 252817284224865523775654613793, 1
54^54+1 = [13, 1; 37, 1; 73, 1; 109, 1; 313, 1; 577, 1; 2089, 1; 2917, 1; 7669, 1; 9181, 1; 83701, 1; 43238197, 1; 216500532402833926227361, 1
13^84+1 = [2, 1; 113, 1; 14281, 1; 815702161, 1; 213867479113, 1; 2341071239305009, 1; 4803378460849459680406337, 1
29^64+1 = [2, 1; 257, 1; 641, 1; 7937, 1; 19289729, 1; 63739777, 1; 162858237363862164959617, 1
47^56+1 = [2, 1; 113, 1; 68141473, 1; 388975441, 1; 3754832453681, 1; 11905643330881, 1
20^72+1 = [17, 1; 1873, 1; 8900929, 1; 675796129, 1; 1505882353, 1; 969759919969, 1
44^57-1 = [7, 1; 43, 1; 229, 2; 283, 1; 1177621, 1; 121954879987, 1; 6330760607333186161, 1
44^57+1 = [3, 3; 5, 1; 631, 1; 6689, 1; 96787, 1; 55850510034912951239060741, 1
24^68+1 = [137, 1; 28697, 1; 331777, 1; 13961078641, 1; 138814016717177, 1
39^59-1 = [2, 1; 19, 1; 54741499, 1; 1184471021, 1
39^59+1 = [2, 3; 5, 1; 362647729469645531483708582635843944440410721, 1
21^71-1 = [2, 2; 5, 1; 493509073, 1; 6912925952086714539251625713, 1
21^71+1 = [2, 1; 11, 1; 826880829487, 1; 172132091765842074983, 1
51^55-1 = [2, 1; 5, 3; 41, 2; 821, 1; 991, 1; 61395401, 1; 1977725861, 1; 231780662895871, 1; 7452207143911091, 1
51^55+1 = [2, 2; 11, 2; 13, 1; 23, 1; 17293, 1; 25147, 1; 60611, 1; 603191, 1; 11673047, 1
31^63-1 = [2, 1; 3, 3; 5, 1; 43, 1; 127, 1; 331, 1; 3637, 1; 6301, 1; 70309, 1; 81343, 1; 917087137, 1; 75077698123, 1; 2813432694367, 1
31^63+1 = [2, 5; 7, 3; 19, 1; 211, 1; 577, 1; 2143, 1; 11971, 1; 71821, 1; 1538083, 1; 45376431752737, 1; 550469850411853, 1; 1652484831253806817, 1
23^69-1 = [2, 1; 7, 1; 11, 1; 79, 1; 277, 1; 461, 1; 1289, 1; 1933, 1; 11593, 1; 831603031789, 1; 1920647391913, 1; 49696373692116337, 1
23^69+1 = [2, 3; 3, 2; 13, 2; 47, 1; 139, 1; 691, 1; 1013, 1; 7591, 1; 1641281, 1; 52626071, 1; 1522029233, 1; 643983069241, 1; 4027959480116314753, 1
22^70+1 = [5, 2; 97, 1; 181, 1; 401, 1; 4481, 1; 55441, 1; 83273, 1; 150901, 1; 34379269, 1; 66068941261, 1; 816048655801, 1; 892792661763983821, 1
14^82+1 = [197, 1; 1979317, 1; 117872082254721001, 1
28^65-1 = [3, 3; 53, 1; 131, 1; 637421, 1; 72416371, 1; 4543753614603737, 1; 90216355836698261, 1
28^65+1 = [11, 1; 29, 1; 547, 1; 2237, 1; 53951, 1; 114661, 1; 1598039, 1; 115508406521, 1
15^80+1 = [2, 1; 257, 1; 41281, 1; 885591361, 1; 12779004583099009, 1; 564643374177456961, 1
37^60+1 = [2, 1; 89, 1; 10529, 1; 3512477579761, 1; 289164210765572956376401, 1; 12337505331268672999818721, 1
18^75-1 = [7, 3; 17, 1; 31, 1; 41, 1; 151, 1; 601, 1; 2711, 1; 558721, 1; 602401, 1; 106487551, 1; 78180455401, 1; 21162386787273369601, 1
18^75+1 = [11, 1; 19, 1; 307, 1; 9041, 1; 130651, 1; 136651, 1; 738851, 1; 11630180251, 1; 17254127651933924651, 1
33^62+1 = [2, 1; 5, 1; 109, 1; 373, 1; 101681, 1; 11508831798337, 1; 48287631687301, 1
42^58+1 = [5, 1; 353, 1
48^56+1 = [17, 1; 113, 1; 184913, 1; 14669068417, 1; 3673834143379637783333671969, 1
35^61-1 = [2, 1; 17, 1; 2005847011022203920677223924210612017, 1
35^61+1 = [2, 2; 3, 2; 367, 1; 12323, 1; 143107, 1; 458599, 1; 1653101, 1
45^57-1 = [2, 2; 11, 1; 19, 2; 109, 1; 585578449280908796570517800071, 1
45^57+1 = [2, 1; 7, 1; 23, 1; 229, 1; 283, 1; 1483, 1; 62549, 1; 2140807, 1; 2820596041428749, 1
52^55-1 = [3, 1; 17, 1; 23, 1; 311, 1; 15401, 1; 23971, 1; 416092460939, 1; 676471825850591, 1; 166465035529146026971, 1
52^55+1 = [11, 2; 53, 1; 61, 1; 67, 1; 331, 1; 10691, 1; 16722605110751, 1; 2116830613728799, 1; 2468635613076398059409611, 1
40^59-1 = [3, 1; 13, 1; 4013, 1; 1183077323, 1; 13415463873849056807213, 1
40^59+1 = [41, 1; 1547453, 1; 188764040334851, 1; 1070111457289937336107279568567, 1
30^64+1 = [3102977, 1; 1015884157773292417, 1; 41439385338098953729, 1
19^74+1 = [2, 1; 181, 1; 593, 1; 1009361, 1; 3849970177, 1; 19406602558617444383054581, 1
13^85-1 = [2, 2; 3, 1; 103, 1; 443, 1; 30941, 1; 28152511, 1; 15798461357509, 1; 11435433293542010176161611, 1
13^85+1 = [2, 1; 7, 1; 11, 1; 1361, 1; 2411, 1; 617886851384381281, 1
43^58+1 = [2, 1; 5, 2; 37, 1
17^77-1 = [2, 4; 25646167, 1; 2141993519227, 1
17^77+1 = [2, 1; 3, 2; 23, 1; 947, 1; 22796593, 1; 87415373, 1
46^57-1 = [3, 3; 5, 1; 7, 1; 103, 1; 50047, 1; 13557679615951, 1; 869333244926326187979597262939, 1
46^57+1 = [19, 2; 47, 1; 109, 1; 229, 1; 1483, 1; 1597, 1; 41269, 1; 516877, 1; 8718949, 1; 77983645297, 1; 18109127427493, 1
38^60+1 = [41, 1; 409, 1; 1201, 1; 4201, 1; 4441, 1; 18217, 1; 50857, 1; 74161, 1; 583537, 1; 3058466641, 1; 4499711357732458971721, 1
26^67-1 = [5, 2; 4691, 1; 2728777, 1; 28661603960447, 1; 57073588142876873, 1
26^67+1 = [3, 3; 582693641, 1
53^55-1 = [2, 2; 11, 2; 13, 1; 131, 1; 5581, 1; 178250690949465223, 1
53^55+1 = [2, 1; 3, 3; 23, 1; 67, 1; 2011, 1; 3851, 1; 1354343, 1; 82244999, 1; 133372581761, 1
34^62+1 = [13, 1; 89, 1; 30133, 1; 44021, 1; 16927861, 1; 141048406381633206084256734073353889, 1
20^73-1 = [19, 1; 92419, 1; 6412324721641, 1
20^73+1 = [3, 1; 7, 1; 30223, 1; 80447, 1; 8140523, 1; 2991402761, 1; 5080516670789273543, 1
29^65-1 = [2, 2; 7, 1; 521, 1; 148123, 1; 732541, 1; 4748492087, 1; 118273570956941791, 1; 16132770616289764711, 1
29^65+1 = [2, 1; 3, 1; 5, 2; 11, 1; 31, 1; 53, 1; 131, 1; 401, 1; 1301, 1; 3407, 1; 5981, 1; 7489, 1; 24571, 1; 252918667, 1; 8704694974608881, 1
14^83-1 = [13, 1; 167, 1; 5479, 1; 19423, 1; 2802911, 1; 8692591, 1; 116910503156118431205311406881, 1
14^83+1 = [3, 1; 5, 1; 18427, 1; 45319, 1; 22722096794779061445351332313569, 1
50^56+1 = [193, 1; 60257, 1; 461847233, 1; 202396373057, 1; 19667981294391809, 1; 338026909819401601, 1
41^59-1 = [2, 3; 5, 1; 3659, 1; 181721, 1; 199083701, 1; 2847621359767557919841, 1
41^59+1 = [2, 1; 3, 1; 7, 1; 13003324711223675162020886035234448231, 1
21^72+1 = [2, 1; 193, 1; 433, 1; 673, 1; 62897, 1; 300673, 1; 1001713, 1; 25392481, 1; 4116371120264449, 1
24^69-1 = [23, 2; 47, 1; 139, 1; 601, 1; 124799, 1; 304751, 1; 502514966805721, 1; 58769065453824529, 1
24^69+1 = [5, 2; 7, 1; 79, 1; 98809, 1; 1397136559673839, 1; 22496867303759173834520497, 1
15^81-1 = [2, 1; 7, 1; 109, 1; 163, 1; 241, 1; 541, 1; 21061, 1; 16354441, 1; 829049498029, 1
15^81+1 = [2, 4; 19, 1; 211, 1; 739, 1; 811, 1; 355591, 1; 43448239, 1; 1477891879996957031251, 1
54^55-1 = [23, 1; 53, 1; 71, 1; 122021, 1; 23241461, 1; 9339586579414037, 1
54^55+1 = [5, 2; 11, 2; 31, 1; 3631, 1; 53861, 1; 530641, 1; 18818109157530101, 1
47^57-1 = [2, 1; 23, 1; 37, 1; 61, 1; 419, 1; 93498583, 1; 65247271367, 1; 46808539630950829, 1; 14397296085598887763, 1
47^57+1 = [2, 4; 3, 2; 7, 1; 103, 1; 571, 1; 1226360244664155943905473409283, 1
22^71-1 = [3, 1; 7, 1; 853, 1; 1333807, 1; 22769098493537073593, 1
22^71+1 = [23, 1; 12071, 1
44^58+1 = [13, 1; 149, 1; 5401865082113, 1; 4830846294099437, 1
23^70+1 = [2, 1; 5, 2; 53, 1; 61, 1; 701, 1; 941, 1; 10781, 1; 96601, 1; 272341, 1; 598193, 1; 3391669, 1; 1434849920564332861, 1
18^76+1 = [113, 1; 929, 1; 3539777, 1
31^64+1 = [2, 1; 257, 1; 641, 1; 2689, 1; 9601, 1; 13768516609, 1; 17777097601059636481, 1; 7231746495781123585793, 1
39^60+1 = [2, 1; 1156721, 1; 5352006947041, 1; 98477949003961, 1; 27653409549409201, 1; 301286680130415504601, 1
28^66+1 = [5, 1; 13, 1; 157, 1; 27017, 1; 47221, 1; 135433, 1; 23946685543873549601, 1
51^56+1 = [2, 1; 449, 1; 276750433, 1; 22883972285201, 1
37^61-1 = [2, 2; 3, 2; 1237300943, 1; 329526175817, 1
37^61+1 = [2, 1; 19, 1; 1709, 1; 238267, 1; 142937153, 1
33^63-1 = [2, 5; 37, 1; 379, 1; 421, 1; 463, 1; 631, 1; 1123, 1; 3163483, 1; 34905511, 1; 309521521, 1; 3317003886673, 1; 5536114346953, 1
33^63+1 = [2, 1; 7, 2; 17, 1; 19, 1; 29, 1; 43, 1; 127, 1; 151, 1; 197, 1; 211, 1; 307, 1; 19531, 1; 219409, 1; 221401, 1; 10907947, 1; 143436432637, 1; 8746792806277, 1; 734307341342527, 1
55^55-1 = [2, 1; 3, 3; 23, 1; 211, 1; 463, 1; 44171, 1; 4721201, 1; 2348047917161, 1; 24226294794769, 1
55^55+1 = [2, 3; 7, 1; 881, 1; 4011349, 1; 8987221, 1; 4378556711, 1; 62017050679, 1; 108447251221, 1; 32721931437361, 1; 49852934639531, 1
35^62+1 = [2, 1; 613, 1; 6664269889, 1; 3669026207719481442068577030169696656277, 1
42^59-1 = [41, 1; 6491, 1; 27967, 1
42^59+1 = [43, 1; 3541, 1; 41183, 1; 2823269, 1; 747270440711, 1
13^86+1 = [2, 1; 5, 1; 17, 1; 2753, 1; 748717, 1; 3605871444392247654973, 1; 14704313671678643430446722121, 1
48^57-1 = [13, 1; 47, 1; 181, 1; 229, 1; 39166598329, 1; 1868467947605686541562499217713, 1
48^57+1 = [7, 2; 37, 1; 61, 1; 1483, 1; 25309, 1; 1666111, 1; 45292771, 1; 6632395513, 1; 16014502657519, 1; 357858526401848657749, 1
45^58+1 = [2, 1; 1013, 1; 2089, 1; 177481, 1; 443237, 1; 10157059076413, 1; 656988022380357443330197, 1
19^75-1 = [2, 1; 3, 3; 31, 1; 101, 1; 127, 1; 151, 1; 211, 1; 911, 1; 1601, 1; 6451, 1; 2460181, 1; 6229677151, 1; 36035657195482151, 1; 164375644290642589501, 1
19^75+1 = [2, 2; 5, 3; 7, 3; 11, 1; 61, 1; 271, 1; 2251, 1; 79151, 1; 127051, 1; 467101, 1; 1081291, 1; 747596648084101, 1
17^78+1 = [2, 1; 5, 1; 29, 1; 83233, 1; 19825313, 1; 33610669, 1; 1224199237, 1; 13938043025453, 1
30^65-1 = [29, 1; 911, 1; 5851, 1; 13339, 1; 59281, 1; 178907, 1; 252877, 1; 837931, 1; 135905582691841, 1; 400650121113389033862431, 1
30^65+1 = [11, 1; 31, 1; 131, 1; 547, 1; 1301, 1; 71261, 1; 207169, 1; 799777421, 1; 4538397397, 1; 468284941714112167321, 1
52^56+1 = [977, 1; 54718248241, 1; 5069927558417, 1
40^60+1 = [769, 1; 3329, 1; 202481, 1; 34095552961, 1; 42160962241, 1; 298756141921, 1; 6553597440001, 1; 4295312810772302881, 1
26^68+1 = [17, 2; 137, 1; 26881, 1; 148921, 1; 13457627041, 1; 4909650468357640736849, 1
14^84+1 = [41, 1; 337, 1; 673, 1; 937, 1; 1009, 1; 774929, 1; 1475750641, 1; 1908233583265468033, 1; 4110630794871608561, 1
20^74+1 = [401, 1; 61244289678958373462403771583536382996866287437, 1
38^61-1 = [37, 1; 15739, 1
38^61+1 = [3, 1; 13, 1; 367, 1; 7321, 1; 17408260052741, 1; 58371947090011, 1; 7802043670722721331, 1
43^59-1 = [2, 1; 3, 1; 7, 1; 22067, 1; 988205107174469, 1; 6549070656905979504778461434303, 1
43^59+1 = [2, 2; 11, 1; 26147589158960053404590254331, 1
15^82+1 = [2, 1; 113, 1; 138583022521, 1; 30839158009109, 1; 1543059974108956456650786169201, 1
46^58+1 = [29, 2; 73, 1; 141637, 1
34^63-1 = [3, 3; 11, 1; 37, 1; 127, 1; 211, 1; 397, 1; 463, 1; 3437617, 1; 13917511, 1; 51200353, 1; 30785593609, 1; 10977681387665581, 1
34^63+1 = [5, 1; 7, 2; 19, 1; 29, 1; 43, 1; 71, 1; 109, 1; 1123, 1; 104119, 1; 745903, 1; 28072816507, 1; 57129000606695137, 1; 30822165800142669793, 1
29^66+1 = [2, 1; 37, 1; 61, 1; 313, 1; 421, 1; 285781, 1; 2294689, 1; 21437329, 1; 80484493, 1; 402546025333, 1; 439165605149799397, 1
21^73-1 = [2, 2; 5, 1; 30661, 1
21^73+1 = [2, 1; 11, 1; 293, 1; 439, 1; 877, 1; 1607, 1; 8303167, 1; 9428689079641451, 1; 1427364308750988577, 1
53^56+1 = [2, 1; 7057, 1; 226129, 1; 280673, 1; 394577, 1; 31129845205681, 1; 126419913004689137, 1; 24654928373305592994017, 1
24^70+1 = [61, 1; 577, 1; 97238233, 1; 374925097, 1; 1801385941, 1
22^72+1 = [17, 1; 241, 1; 2017, 1; 940993, 1; 4732993, 1; 3227992561, 1; 13278819202897, 1; 2112081624934238187268993, 1
18^77-1 = [17, 1; 23, 1; 199, 1; 449, 1; 463, 1; 16127, 1; 51217, 1; 80207, 1
18^77+1 = [19, 1; 536801, 1; 6301307, 1; 32222107, 1; 554461601, 1; 8575134569, 1
23^71-1 = [2, 1; 11, 1; 2131, 1; 351156543156995844791, 1; 12689965311931555366531418920750153, 1
23^71+1 = [2, 3; 3, 1; 353245517860142207052022009, 1
41^60+1 = [2, 1; 137, 1; 241, 1; 6121, 1; 10313, 1; 86161, 1; 156241, 1; 321961, 1; 432121, 1; 18478441, 1; 391810481, 1; 110312844281, 1
50^57-1 = [7, 2; 2551, 1; 30553, 1; 170887, 1; 3961952353, 1; 41958116255687, 1; 9483012119222263, 1; 92772235209725273, 1
50^57+1 = [3, 2; 17, 1; 19, 2; 43, 1; 457, 1; 3307, 1; 94849, 1; 160817, 1; 14601045331, 1; 31969257577, 1; 113138753154769, 1; 15387836214379711097, 1
13^87-1 = [2, 2; 3, 2; 61, 1; 1973, 1; 2843, 1; 3539, 1; 8527, 1; 846041103974872866961, 1; 808648601294417626878199, 1
13^87+1 = [2, 1; 7, 1; 59, 1; 157, 1; 1741, 1; 45353101, 1; 8546789918171, 1; 16397414286709, 1; 388719701504541540919, 1
31^65-1 = [2, 1; 3, 1; 5, 2; 11, 1; 911, 1; 1951, 1; 17351, 1; 42407, 1; 2426789, 1; 7908811, 1; 31035996941, 1; 5979236519649901, 1
31^65+1 = [2, 5; 41, 1; 131, 1; 521, 1; 17863, 1; 21821, 1; 197271101, 1; 42716694944587, 1
28^67-1 = [3, 3; 39629149774235919086803410436533512071, 1
28^67+1 = [29, 1; 1313661738407, 1; 308410564740709, 1
44^59-1 = [43, 1; 709, 1
44^59+1 = [3, 2; 5, 1; 1181, 1; 31153, 1; 673073, 1; 8848563979237361, 1; 26281449623277513529586747689, 1
47^58+1 = [2, 1; 5, 1; 13, 1; 17, 1; 349, 1; 35729, 1; 2098441, 1
54^56+1 = [17, 1; 113, 1; 14593, 1; 291444977, 1; 181196478954035444944590621654811625681, 1
39^61-1 = [2, 1; 19, 1; 3539, 1; 1144483, 1; 9494708317, 1; 8779416156809261, 1
39^61+1 = [2, 3; 5, 1; 977, 1
33^64+1 = [2, 1; 3329, 1; 1404289, 1; 34232321, 1; 139982089033217, 1
19^76+1 = [2, 1; 17, 1; 3833, 1; 148490556214993, 1; 67552947210940643628327889, 1
17^79-1 = [2, 4; 2371, 1; 8849, 1; 32233, 1; 95294351981, 1
17^79+1 = [2, 1; 3, 2; 35485537, 1; 11672515136483, 1; 763172545882169, 1; 4431365126857943, 1; 2617152229311584271947, 1
37^62+1 = [2, 1; 5, 1; 137, 1; 4217, 1; 8733941, 1
35^63-1 = [2, 1; 13, 1; 17, 1; 19, 1; 43, 1; 97, 1; 127, 1; 3843127, 1; 44007727, 1; 96753079, 1; 50271355983367, 1; 3282747916283682841, 1
35^63+1 = [2, 2; 3, 4; 29, 1; 397, 1; 631, 1; 5209, 1; 6301, 1; 11831, 1; 612740917, 1; 3475688599752347161, 1
51^57-1 = [2, 1; 5, 2; 7, 1; 229, 1; 379, 1; 2357, 1; 1431119, 1; 23785887581, 1; 69264172403, 1
51^57+1 = [2, 2; 13, 1; 2053, 1; 2551, 1; 30553, 1; 40357, 1; 754022364308383, 1; 85189720388220845265139, 1
42^60+1 = [17, 1; 1201, 1; 183041, 1; 2651041, 1; 51536026081, 1; 9682648884721, 1; 1819187987193361, 1
14^85-1 = [11, 1; 13, 1; 103, 1; 1021, 1; 3761, 1; 5135191, 1; 22771730193675277, 1; 2045945611942276639291, 1
14^85+1 = [3, 1; 5, 2; 71, 1; 101, 1; 137, 1; 68171, 1; 498271, 1; 705161, 1; 22995901, 1; 329373710464831, 1; 14837638311110071, 1; 69901022666276891, 1
55^56+1 = [2, 1; 113, 1; 5203937, 1; 8045249, 1
30^66+1 = [17, 1; 53, 1; 9241, 1; 22441, 1; 34981, 1; 809101, 1; 5213693, 1; 7642669, 1; 66803214075022052730257, 1
48^58+1 = [5, 1; 461, 1; 7541, 1; 11717, 1; 55681, 1; 11356517, 1; 6183985351233699601, 1
45^59-1 = [2, 2; 11, 1; 31271, 1; 277301, 1; 950432036620886988739, 1
45^59+1 = [2, 1; 23, 1; 709, 1; 287921, 1; 2018981, 1; 39507581, 1; 135339943242693481811787472491293563, 1
20^75-1 = [11, 1; 19, 1; 31, 1; 61, 1; 151, 1; 251, 1; 421, 1; 1451, 1; 3001, 1; 11251, 1; 261451, 1; 1369801, 1; 7466201, 1; 46794901, 1; 9308203137060768572251, 1
20^75+1 = [3, 2; 7, 1; 101, 1; 127, 1; 152381, 1; 26876632021, 1; 51051875401, 1; 4273193518996201, 1; 1038193734970398415809901, 1
15^83-1 = [2, 1; 7, 1; 2158116330311, 1; 3220419108264156535849497113, 1
15^83+1 = [2, 4; 167, 1; 1163, 1; 3981350970411868479901, 1; 106776979377071844077873, 1
26^69-1 = [5, 2; 19, 1; 37, 1; 13709, 1; 1086199, 1; 1528507873, 1; 615551139461, 1
26^69+1 = [3, 4; 7, 1; 31, 1; 47, 1; 139, 1; 1157729, 1; 378673381, 1; 10706943763, 1; 629584013567417, 1
40^61-1 = [3, 1; 13, 1; 2441, 1; 21839, 1; 298584631, 1
40^61+1 = [41, 1; 367, 1; 733, 1; 65881, 1; 210838639830971, 1; 17577309021102349201386018089, 1
52^57-1 = [3, 2; 17, 1; 191, 1; 919, 1; 30211, 1; 30553, 1; 6997891, 1; 46723661, 1; 137961871813, 1; 126169954911757, 1
52^57+1 = [7, 1; 53, 1; 379, 1; 14783, 1; 512891005013876641620677411, 1
21^74+1 = [2, 1; 13, 1; 17, 1; 149, 1; 593, 1
56^56+1 = [17, 1; 11409217, 1; 5260913953, 1; 5689253622001, 1; 116868098415713, 1; 61716026883140982017, 1
18^78+1 = [5, 2; 13, 2; 53, 1; 157, 1; 229, 1; 313, 1; 457, 1; 21997, 1; 5210864257, 1; 5601346141, 1; 15715445027621, 1; 581721119015050561, 1
38^62+1 = [5, 1; 17, 2
29^67-1 = [2, 2; 7, 1; 4691, 1; 7237, 1
29^67+1 = [2, 1; 3, 1; 5, 1; 14741, 1; 173297930629746886212468111614816863, 1
24^71-1 = [23, 1
24^71+1 = [5, 2; 71569, 1; 39293109082181, 1; 57009162013493, 1; 48375351973455191295830483416567, 1
22^73-1 = [3, 1; 7, 1; 293, 1; 1585760683434492728054623403870583591611, 1
22^73+1 = [23, 1; 19293908309235221, 1; 4493831621328706884161237, 1; 4362374326112940284635767011, 1
43^60+1 = [2, 1; 17, 1; 73, 1; 97, 1; 193, 1; 313, 1; 521, 1; 25321, 1; 5273617, 1; 70937201, 1; 463847201, 1; 4151893201, 1; 633573428881, 1; 58781008890632761, 1
34^64+1 = [7477121, 1; 207413006868032513, 1; 1016641647219995495371861784486017, 1
13^88+1 = [2, 1; 4049, 1; 407865361, 1; 479397861182521358407441, 1; 1358999792679530608571000081, 1
23^72+1 = [2, 1; 17, 1; 3697, 1; 623009, 1; 1247329, 1; 12682129, 1; 454068345889, 1; 483563163219889, 1
46^59-1 = [3, 2; 5, 1; 130981, 1; 564930745883083815362557, 1
46^59+1 = [47, 1
53^57-1 = [2, 2; 7, 1; 13, 1; 229, 1; 409, 1; 11173, 1; 32688470798197, 1; 1482545708952391, 1; 1559280737801263, 1
53^57+1 = [2, 1; 3, 4; 919, 1; 822131, 1; 1423389637, 1; 1858193028673, 1; 9132358221258011, 1
41^61-1 = [2, 3; 5, 1; 4846906894369035343510985818467094997241059, 1
41^61+1 = [2, 1; 3, 1; 7, 1; 213623, 1; 679297, 1; 80823245238011, 1; 18138980389253695381, 1; 52977539531681055373519, 1
28^68+1 = [108529, 1; 302329, 1; 614657, 1; 809119897, 1; 5407933749161794928137748158777, 1
31^66+1 = [2, 1; 13, 1; 37, 1; 2729, 1; 922561, 1; 599382278617, 1; 169301958609793153, 1; 245911396799577828131028569, 1
17^80+1 = [2, 1; 257, 1; 3361, 1; 1801601, 1; 2033441, 1; 52548582913, 1
19^77-1 = [2, 1; 3, 2; 701, 1; 70841, 1; 73613, 1; 104281, 1; 62060021, 1
19^77+1 = [2, 2; 5, 1; 23, 1; 197, 1; 6469, 1; 226871, 1; 685034813, 1; 8090490101, 1; 253239693257, 1; 226288993450958131, 1
50^58+1 = [41, 1; 61, 1; 233, 1; 3727745029, 1; 121870914292722074399019296227780168709, 1
14^86+1 = [197, 1
44^60+1 = [41, 1; 113, 1; 641, 1; 809, 1; 11161, 1; 67801, 1; 239441, 1; 1699209601, 1; 14048219877121, 1; 59456780552203889508601, 1
39^62+1 = [2, 1; 761, 1; 4740931025208063757, 1
47^59-1 = [2, 1; 23, 1; 4603, 1; 256651, 1; 1234125153011903, 1; 32990983717854977, 1
47^59+1 = [2, 4; 3, 1; 709, 1; 827, 1; 8568354271357992900601687308271230418637, 1
33^65-1 = [2, 5; 31, 1; 131, 1; 39451, 1; 5586803, 1; 307870362047, 1; 825443633951, 1; 912556646431, 1
33^65+1 = [2, 1; 17, 1; 79, 1; 313, 1; 19709, 1; 571741, 1; 1151041, 1; 3321744947, 1; 3795466351, 1
54^57-1 = [53, 1; 457, 1; 2971, 1; 24311855176559, 1; 1397884427780837, 1
54^57+1 = [5, 1; 7, 1; 11, 1; 409, 1; 757417, 1; 2595530911, 1; 25087002870289750231, 1; 4798787200830201829483705663, 1
15^84+1 = [2, 1; 17, 1; 1489, 1; 10123513, 1; 2562840001, 1; 725177029417, 1; 766028506097, 1; 21975395880100433, 1
37^63-1 = [2, 2; 3, 4; 7, 2; 67, 1; 71, 1; 73, 1; 127, 1; 379, 1; 25453, 1; 92251, 1; 4497991, 1; 7992349, 1; 37140797, 1
37^63+1 = [2, 1; 19, 1; 31, 1; 43, 1; 199, 1; 631, 1; 12892843, 1; 1655684479, 1; 2498207293, 1; 4083348151, 1; 18449627617, 1; 25538742433, 1; 303340612177, 1
35^64+1 = [2, 1
20^76+1 = [457, 1; 160001, 1
30^67-1 = [29, 1; 5897, 1; 104921197, 1; 26401568180223414517611257, 1
30^67+1 = [31, 1; 269, 1; 2090184529, 1; 10928988277, 1; 10246155837002088910369, 1; 248498502835922332676119, 1
42^61-1 = [41, 1; 853814767889, 1; 3011347243007, 1; 380374960373003, 1; 81759426276425182777, 1
42^61+1 = [43, 1; 17863283569307161736407, 1
51^58+1 = [2, 1; 1301, 1; 15313, 1; 147474375701, 1
26^70+1 = [29, 1; 677, 1; 4733, 1; 208518605101, 1; 694230517093, 1
13^89-1 = [2, 2; 3, 1; 179, 1; 9257, 1; 716164560927079240026189379811, 1
13^89+1 = [2, 1; 7, 1; 21001153, 1; 2197020880176009487, 1; 410771620528283009753757952793, 1
21^75-1 = [2, 2; 5, 3; 151, 1; 211, 1; 463, 1; 1051, 1; 1801, 1; 9391, 1; 18181, 1; 40841, 1; 2031851, 1; 9728219701, 1; 201307465501, 1; 27385718497004633851, 1
21^75+1 = [2, 1; 11, 1; 31, 1; 101, 1; 421, 1; 2551, 1; 185641, 1; 386851, 1; 501001, 1; 11093851, 1; 263977951, 1; 895322420811001, 1; 248303068144516751, 1
18^79-1 = [17, 1; 338279, 1; 1104737, 1; 12802037494726063, 1; 9886837665707422272737, 1
18^79+1 = [19, 1; 1735973262881810486884626006469367486329, 1
45^60+1 = [2, 1; 241, 1; 401, 1; 2161, 1; 5113, 1; 35569, 1; 472746529, 1; 6871250180401, 1; 130841449768595473867441, 1
48^59-1 = [47, 1; 52511, 1; 2265887836608864040905434730500399, 1
48^59+1 = [7, 2; 7789, 1; 369724681, 1; 947530325982934315368121, 1
55^57-1 = [2, 1; 3, 4; 13, 1; 79, 1; 229, 1; 571, 1; 647, 1; 1483, 1; 1397983, 1; 18145951, 1; 7015010443435663, 1; 3222383446162535363, 1
55^57+1 = [2, 3; 7, 1; 191, 1; 2971, 1; 14783, 1; 535991, 1; 13764157447830986477, 1; 124724246202276843883, 1
40^62+1 = [1601, 1; 27281, 1; 29683741, 1; 9934573793351813543760747276183581, 1
22^74+1 = [5, 1; 97, 1; 105196921, 1; 1322219481421, 1
24^72+1 = [17, 1; 2801, 1; 33409, 1; 2311681, 1; 13308961, 1; 27250359649, 1
23^73-1 = [2, 1; 11, 1; 632911, 1; 3467983074289, 1
23^73+1 = [2, 3; 3, 1; 82897487, 1; 33634861877050507067251, 1; 195436881937205119535750400397, 1
29^68+1 = [2, 1; 137, 1; 132329, 1; 353641, 1; 541195001, 1; 1680586273, 1; 69424250262848801, 1; 10774466250435548293033, 1
38^63-1 = [37, 1; 43, 1; 109, 1; 127, 2; 163, 1; 1483, 1; 39439, 1; 136963, 1; 169471, 1; 92928739, 1; 3092313043, 1; 635444013053181403, 1
38^63+1 = [3, 3; 7, 2; 13, 1; 29, 1; 67, 1; 211, 1; 239, 1; 423277, 1; 1003627171, 1; 4481119419463, 1; 6299350303205107, 1
52^58+1 = [5, 1; 233, 1; 349, 1; 541, 1; 5801, 1; 42689, 1; 31781442789179720313978785299510141, 1
34^65-1 = [3, 1; 11, 1; 61, 1; 131, 1; 2341, 1; 12611, 1; 22571, 1; 498802573647613561, 1; 2458736461986831391, 1
34^65+1 = [5, 2; 7, 1; 16381, 1; 259631, 1; 2009983, 1; 13303573531, 1; 1153361613301, 1
43^61-1 = [2, 1; 3, 1; 7, 1; 8663, 1; 1040227478461885061399, 1
43^61+1 = [2, 2; 11, 1; 375028741517, 1
56^57-1 = [5, 1; 11, 1; 31, 1; 103, 1; 647, 2; 108304561, 1; 3615436547, 1; 5224985521849, 1; 19735153944503363, 1
56^57+1 = [3, 2; 13, 1; 19, 2; 79, 1; 229, 1; 4637, 1; 16987, 1; 3791033, 1; 14766877, 1; 86287799881092363079, 1
17^81-1 = [2, 4; 19, 1; 307, 1; 433, 1; 24733, 1; 1270657, 1; 6770748529, 1; 454194717025663, 1; 1313154695584063, 1
17^81+1 = [2, 1; 3, 6; 7, 1; 13, 1; 163, 1; 811, 1; 1423, 1; 2269, 1; 5653, 1; 1792803781, 1; 78044489325524647, 1; 28758863909916435817, 1
14^87-1 = [13, 1; 211, 1; 349, 1; 13109, 1; 100577221, 1; 25581350023, 1; 396530555859061913, 1
14^87+1 = [3, 2; 5, 1; 59, 1; 61, 1; 523, 1; 7345482559, 1; 114221024581, 1; 17101086842968403641, 1; 1588794541523975089627189, 1
19^78+1 = [2, 1; 13, 3; 53, 1; 181, 1; 769, 1; 92174159182574048847888178637, 1
46^60+1 = [4477457, 1; 20047607754481, 1; 401906666439788301510827761, 1
28^69-1 = [3, 4; 47, 1; 139, 1; 271, 1; 277, 1; 224727078564911869, 1; 1517655145813456319033978812579, 1
28^69+1 = [29, 1; 757, 1; 7039, 1; 94369507, 1; 115152031, 1; 140668620541, 1; 255595103341, 1; 4099849287367, 1
31^67-1 = [2, 1; 3, 1; 5, 1; 882659, 1; 447772934301264047325373, 1; 1334574386438395108609084044317, 1
31^67+1 = [2, 5; 561825821, 1; 434585936689, 1; 215725957975181, 1; 111558400193618429, 1; 1718795629713735456383, 1
15^85-1 = [2, 1; 7, 1; 11, 1; 4931, 1; 1045002649, 1; 6734509609, 1
15^85+1 = [2, 4; 31, 1; 137, 1; 443, 1; 1531, 1; 2551, 1; 13695697627231, 1; 101462866544971, 1
41^62+1 = [2, 1; 29, 2; 19254211601, 1; 12175812483469, 1
53^58+1 = [2, 1; 5, 1; 281, 1; 349, 1; 1277, 1; 13109, 1; 44893, 1
57^57-1 = [2, 3; 7, 1; 229, 1; 3307, 1; 208963, 1; 858083110267312575697141, 1; 14710826638296122001733445931451, 1
57^57+1 = [2, 1; 29, 1; 31, 1; 103, 1; 4561, 1; 8209, 1; 9349, 1; 62207, 1; 22611179, 1; 16453188397, 1; 3433535507453509, 1; 21270230934999421, 1
20^77-1 = [19, 1; 29, 1; 71, 1; 32719, 1; 10778947368421, 1; 11591111347512862858060061, 1
20^77+1 = [3, 1; 7, 2; 23, 1; 827, 1; 10529, 1; 424016563147, 1
33^66+1 = [2, 1; 5, 1; 13, 1; 109, 1; 7129, 1; 91141, 1; 125929, 1; 3920401, 1; 18610345022908326918950809, 1
39^63-1 = [2, 1; 7, 2; 19, 1; 181, 1; 223, 1; 379, 1; 2857, 1; 606733, 1; 1264033, 1; 19440901, 1; 72796627, 1; 7494915289, 1; 46203580155727, 1
39^63+1 = [2, 3; 5, 1; 43, 1; 71, 1; 127, 1; 547, 1; 1483, 1; 2089, 1; 727063, 1; 1123739, 1; 1684387, 1; 31930371901, 1
50^59-1 = [7, 2; 2050487, 1; 5299521247, 1; 11220403906414151, 1
50^59+1 = [3, 1; 17, 1; 14195873, 1; 44523643, 1; 50966213714723, 1
44^61-1 = [43, 1; 384694061, 1; 275843501360449314073499968475209143446929, 1
44^61+1 = [3, 2; 5, 1; 367, 1; 4271, 1; 41603, 1; 81250639105739, 1; 131970140524635594157, 1; 53012781617970566757908717, 1
13^90+1 = [2, 1; 5, 2; 17, 1; 37, 1; 421, 1; 601, 1; 641, 1; 28393, 1; 428041, 1; 1471069, 1; 460655521, 1; 1453046401, 1; 14513462249341141, 1
47^60+1 = [2, 1; 41, 1; 97, 1; 241, 1; 25153, 1; 592121, 1; 3781801, 1; 6296281, 1; 1650281815098481, 1; 96906804901341361, 1
35^65-1 = [2, 1; 17, 1; 31, 1; 131, 1; 443, 1; 49831, 1; 7852391301419627, 1
35^65+1 = [2, 2; 3, 2; 11, 1; 132631, 1; 373361, 1; 3285353271721733941, 1
37^64+1 = [2, 1; 1212165617153, 1
18^80+1 = [3930785153, 1; 17619087361, 1; 30894471809, 1; 545145333573761, 1
30^68+1 = [241, 1; 3361, 1; 3673, 1; 141264028412449, 1
26^71-1 = [5, 2; 1475239, 1; 2270440490478175159386113, 1; 440314247117511584166211925609, 1
26^71+1 = [3, 3; 569, 1; 297063007, 1
54^58+1 = [2917, 1; 6961, 1; 33354757, 1; 69394333, 1; 3918911156341, 1
21^76+1 = [2, 1; 97241, 1; 136649, 1; 6629177, 1; 8871582886760161, 1; 4370570172021545617284038736601, 1
42^62+1 = [5, 1; 353, 1; 27653, 1; 4947196423396642966182984831168841, 1
22^75-1 = [3, 2; 7, 1; 13, 2; 61, 1; 151, 1; 245411, 1; 452701, 1; 210499351, 1; 858794191, 1; 503676620401, 1; 6474393278401, 1; 10605157372501, 1
22^75+1 = [23, 1; 31, 1; 101, 1; 463, 1; 154001, 1; 224071, 1; 727351, 1; 821101, 1; 1850478481, 1; 12338584051, 1; 62354037124651, 1
51^59-1 = [2, 1; 5, 2; 34932839, 1; 25752385727, 1
51^59+1 = [2, 2; 13, 1; 827, 1; 3863911, 1; 6913604326255227223695717362894743327, 1
24^73-1 = [23, 1; 293, 1; 3359, 1; 70373, 1; 478589, 1
24^73+1 = [5, 2; 439, 1; 1034657962731961050103352235001, 1
23^74+1 = [2, 1; 5, 1; 53, 1; 149, 1; 571873, 1; 65887757401, 1
45^61-1 = [2, 2; 11, 1; 4759, 1; 27329, 1; 3410630737301, 1; 14390821700656021, 1
45^61+1 = [2, 1; 23, 1; 367, 1; 12689, 1; 8003201, 1; 19180018758221, 1; 214553033898100484087, 1
14^88+1 = [17, 1; 5393, 1; 16097, 1; 726776513, 1; 27839910162900081267786564789267761898449, 1
48^60+1 = [41, 1; 241, 1; 1721, 1; 2161, 1; 8929, 1; 1140721, 1; 5308417, 1; 9187201, 1; 3155927329, 1; 13427893441, 1; 18942781201, 1; 212536121402641, 1
17^82+1 = [2, 1; 5, 1; 29, 1; 10954332408956399140877, 1
29^69-1 = [2, 2; 7, 1; 13, 1; 67, 1; 139, 1; 131327761273, 1; 1173922372300235340427, 1
29^69+1 = [2, 1; 3, 2; 5, 1; 47, 1; 271, 1; 277, 1; 12697, 1; 32983, 1; 7637473, 1; 47204232433066302943, 1; 548044326578988272558591797, 1
40^63-1 = [3, 3; 13, 1; 43, 1; 163, 1; 547, 1; 631, 1; 8317, 1; 9199, 1; 7879999, 1; 8376409, 1; 4201025641, 1
40^63+1 = [7, 2; 19, 1; 37, 1; 41, 1; 127, 1; 211, 1; 223, 1; 379, 1; 1009, 1; 6007, 1; 15373, 1; 18938851, 1; 3220160975767, 1; 957723887056210659504251623, 1
55^58+1 = [2, 1; 17, 1; 89, 1; 233, 1; 18097, 1; 123462741184333, 1; 5264367611260711303829, 1
19^79-1 = [2, 1; 3, 2; 10429, 1; 32233, 1; 1380763, 1
19^79+1 = [2, 2; 5, 1; 25871039291, 1
34^66+1 = [13, 1; 89, 1; 353, 1; 1069, 1; 1249, 1; 15797, 1; 50777, 1; 15037874431339441793, 1; 180671731958047148281, 1
38^64+1 = [769, 1; 1153, 1; 4617960833, 1
15^86+1 = [2, 1; 113, 1; 20641, 1; 3187525094785565082363106129, 1
52^59-1 = [3, 1; 17, 1; 24557857971331, 1; 3641125927249697, 1; 29170813553478370523947569707, 1
52^59+1 = [53, 1; 71596616199793, 1; 899726268990495517, 1
43^62+1 = [2, 1; 5, 2; 37, 1; 12401, 1
28^70+1 = [5, 2; 61, 1; 157, 1; 281, 1; 14561, 1; 84961, 1; 749729, 1; 924841, 1; 25917641, 1; 1100860153, 1
13^91-1 = [2, 2; 3, 1; 53, 1; 10193, 1; 34763, 1; 264031, 1; 1326781, 1; 1803647, 1; 5229043, 1; 72019220497491955875703699, 1
13^91+1 = [2, 1; 7, 2; 29, 1; 4733, 1; 13417, 1; 20333, 1; 22079, 1; 79301, 1; 6176383648709, 1; 244409090738941856729, 1
56^58+1 = [233, 1; 3137, 1; 75401, 1; 318063070079696257, 1; 70780928379551596652386671329, 1
31^68+1 = [2, 1; 137, 1; 409, 1; 953, 1; 1129, 1; 11833, 1; 63574561, 1
46^61-1 = [3, 2; 5, 1; 367, 1; 3360847507788056693645113, 1
46^61+1 = [47, 1; 3539, 1; 155992007, 1; 18683396789960768890997894543901691, 1
20^78+1 = [13, 2; 53, 1; 157, 1; 401, 1; 12277, 1; 502321, 1; 670533425797, 1; 106896982629956973639277, 1; 628605693732325702045277, 1
41^63-1 = [2, 3; 5, 1; 43, 1; 127, 1; 379, 1; 487, 1; 631, 1; 1723, 1; 4159, 1; 8339563, 1; 9753949, 1; 113229229, 1; 633071522245681, 1; 22013480670406449841, 1
41^63+1 = [2, 1; 3, 3; 7, 2; 19, 1; 37, 1; 71, 1; 73, 1; 547, 1; 30853, 1; 604801, 1; 9329993, 1; 532231354645142167, 1; 23113483969970021041, 1
18^81-1 = [7, 3; 17, 1; 487, 1; 991, 1; 23761, 1; 34327, 1; 253369, 1; 1464049, 1; 4464073, 1; 27470503, 1; 1964508729666289645801020967, 1
18^81+1 = [19, 1; 73, 1; 163, 1; 307, 1; 465841, 1; 108813457, 1; 3211621489, 1; 31865908033, 1; 1234749313729, 1; 2822726926367077537, 1
53^59-1 = [2, 2; 13, 1; 943970114867362247759443, 1; 12466526280783961115381107, 1
53^59+1 = [2, 1; 3, 3; 36109, 1; 9297103, 1; 3800202410345894347927417, 1; 21885671994461001493726693163797, 1
33^67-1 = [2, 5; 4289, 1; 1084112663, 1; 11098897650130502135455967441, 1; 18560847411975948968564462623, 1
33^67+1 = [2, 1; 17, 1
21^77-1 = [2, 2; 5, 1; 43, 1; 631, 1; 3319, 1; 6225803431, 1; 17513875027111, 1; 39824892937303186001525100993399811, 1
21^77+1 = [2, 1; 11, 2; 23, 1; 6073, 1; 10362529, 1; 81867661, 1; 123679698913, 1; 15502260840362954719909, 1; 37681894326794146626121, 1
39^64+1 = [2, 1; 501015937, 1
57^58+1 = [2, 1; 5, 3; 13, 1; 20533, 1; 38629, 1; 142317474992103577, 1; 43180312279690250582407169, 1
26^72+1 = [3617, 1; 57734881, 1; 25662210913, 1; 1699336937377, 1; 2303220087073, 1; 9849511001030257, 1
44^62+1 = [13, 1; 149, 1; 8751214858349487946085643199510773255089, 1
35^66+1 = [2, 1; 277, 1; 353, 1; 613, 1; 5413, 1; 60457, 1; 3981209, 1; 6913457, 1; 12944192537, 1; 2964674178069172537, 1
30^69-1 = [7, 2; 19, 1; 29, 1; 139, 1; 277, 1; 461, 1; 691, 1; 2716117, 1; 148927117, 1; 1733583601, 1; 9846720119, 1; 1377813914401, 1; 6785569740223, 1
30^69+1 = [13, 1; 31, 1; 47, 1; 67, 1; 1933, 1; 89541163, 1; 148414723, 1; 1982852173, 1; 21956442933767, 1; 14380755448480627, 1; 34140313913055733, 1
37^65-1 = [2, 2; 3, 2; 11, 1; 41, 1; 4271, 1; 6765811783780036261, 1; 2153555189014162710765708277712188711, 1
37^65+1 = [2, 1; 19, 1; 53, 1; 131, 1; 521, 1; 2341, 1; 591163, 1; 1824841, 1; 26668430231, 1; 204576480239, 1; 4230861918113529109820495971, 1
50^60+1 = [97, 1; 241, 1; 4801, 1; 64433, 1; 1874881, 1; 617094241, 1; 39062493750001, 1; 2472683361356169361, 1
47^61-1 = [2, 1; 23, 1; 367, 1; 5951132410461230489781053801575957985375412445883, 1
47^61+1 = [2, 4; 3, 1; 733, 1; 82505918259333162378991, 1; 72130802342268278028043776613, 1
14^89-1 = [13, 1; 179, 1; 3264343, 1; 72284972657, 1; 558880233911, 1
14^89+1 = [3, 1; 5, 1; 1485227518551701761601, 1
22^76+1 = [73, 1; 457, 1; 3209, 1; 2999569, 1; 34356713, 1; 381921737, 1; 75009303521, 1; 471300292422508768026225597793, 1
17^83-1 = [2, 4; 186917, 1; 1441585450365875501, 1; 859764623611313847689900219, 1
17^83+1 = [2, 1; 3, 2; 167, 1; 28387, 1; 974813135809, 1
23^75-1 = [2, 1; 7, 1; 11, 1; 79, 1; 6551, 1; 292561, 1; 74912328481, 1; 2700470569501, 1; 261968569374120475321751, 1
23^75+1 = [2, 3; 3, 2; 13, 2; 31, 1; 41, 1; 101, 1; 151, 1; 211, 1; 56951, 1; 1068701, 1; 5635501, 1; 541119751, 1; 279175761283651, 1
24^74+1 = [577, 1; 62039080369751004680569, 1
54^59-1 = [53, 1; 4013, 1; 105786647, 1; 3107096944460816323298986967, 1
54^59+1 = [5, 1; 11, 1; 207439587020189, 1; 391600580957541681107, 1; 3173348287333655783884840344347, 1
42^63-1 = [13, 1; 19, 1; 41, 1; 127, 1; 139, 1; 1009, 1; 3851, 1; 1460117, 1; 7124839, 1; 25516009, 1; 288900307, 1; 4091341129, 1; 1985468030407, 1
42^63+1 = [29, 1; 43, 1; 337, 1; 547, 1; 1723, 1; 19489, 1; 548591, 1; 5488957657, 1; 1579727718577, 1; 2893529445073, 1
58^58+1 = [5, 1; 349, 1; 673, 1; 929, 1; 4177, 1; 24709, 1; 59393, 1; 87697, 1; 607458013, 1; 2432306677, 1; 55525285001, 1; 1309401006591358303313, 1
19^80+1 = [2, 1; 97, 1; 5441, 1; 113921, 1; 1486811410142377153, 1; 6163870442158237952544812259041, 1
15^87-1 = [2, 1; 7, 1; 59, 1; 241, 1; 349, 1; 798084409, 1; 15476275967141572773889537007699, 1
15^87+1 = [2, 4; 211, 1; 1831362215404162343599, 1; 798962746803683694452047348022461, 1
29^70+1 = [2, 1; 421, 1; 1061, 1; 427822081, 1; 470925821, 1; 826031641, 1; 59696006212089310421, 1
51^60+1 = [2, 1; 73, 1; 38921, 1; 46337, 1; 56737, 1; 506201, 1; 806668273, 1; 1217517841, 1; 1350336443816641, 1; 106320195008359681, 1
13^92+1 = [2, 1; 1657, 1; 14281, 1; 10093085551851597657003882281641, 1; 13083857523758118007762301611817, 1
45^62+1 = [2, 1; 373, 1; 1013, 1; 1117, 1; 1863991276087044361, 1; 1173092525145410298163600487053, 1
40^64+1 = [438913, 1; 72209449209995137, 1; 275265972634797415553, 1; 36456537995564380745801814913, 1
48^61-1 = [47, 1; 6295979327493762037, 1; 3318484479336240782385604991, 1
48^61+1 = [7, 2; 20415847, 1; 12494240785597, 1; 125857943168739619, 1
34^67-1 = [3, 1; 11, 1; 915506774873063, 1
34^67+1 = [5, 1; 7, 1; 269, 1; 381097, 1; 930229, 1; 57424093, 1
55^59-1 = [2, 1; 3, 3; 7848924574476367455250910280066079643, 1
55^59+1 = [2, 3; 7, 1; 5512462129845673, 1
38^65-1 = [11, 1; 37, 1; 79, 1; 131, 1; 443, 1; 194681, 1; 48594521, 1; 77816243441, 1; 262751819201, 1; 266044456723943, 1
38^65+1 = [3, 1; 13, 2; 53, 1; 547, 1; 368369, 1; 2031671, 1; 63625693, 1; 133464055195154910688541, 1
28^71-1 = [3, 3; 25828494169, 1; 37313251966817, 1; 857600610882384989993501, 1
28^71+1 = [29, 1; 2651845457, 1; 4252745790841, 1
20^79-1 = [19, 1; 26861, 1; 7731160503875069, 1; 4178614725165165091, 1; 52283868973702536169, 1
20^79+1 = [3, 1; 7, 1
31^69-1 = [2, 1; 3, 2; 5, 1; 139, 1; 331, 1; 1164859, 1; 1509997, 1; 61562537, 1; 2553526979752336381, 1; 7176374761323733117, 1
31^69+1 = [2, 5; 7, 2; 19, 1; 47, 1; 6073, 1; 117071611, 1; 45414448613, 1; 293006379555093281221, 1
43^63-1 = [2, 1; 3, 3; 7, 2; 19, 1; 181, 1; 199, 1; 211, 1; 631, 1; 3079, 1; 5839, 1; 158341, 1; 84110461, 1; 2199253519, 1; 13188379540771, 1
43^63+1 = [2, 2; 11, 1; 13, 1; 109, 1; 127, 1; 139, 1; 4831, 1; 57993427, 1; 65299879, 1; 6177695707, 1; 66222479233, 1; 390939633981037, 1; 8463757040413879, 1
18^82+1 = [5, 2; 13, 1; 117012619172903468336363755054149226979817746816041, 1
52^60+1 = [41, 1; 73, 1; 89, 1; 12401, 1; 24793, 1; 82153, 1; 29537569, 1; 7727786401, 1; 727373986441, 1; 92518384980297951001, 1
46^62+1 = [29, 1; 73, 1; 1117, 1; 1416131680122073, 1; 2670225170657399737, 1; 13231191726896104407149177, 1
21^78+1 = [2, 1; 13, 2; 17, 1; 53, 1; 61, 1; 157, 1; 3181, 1; 6709, 1; 32969, 1; 101089, 1; 23509884574335185209, 1; 193538987428465501811153413, 1
56^59-1 = [5, 1; 11, 1; 262079, 1; 827309683, 1; 382384535971, 1
56^59+1 = [3, 1; 19, 1; 264139083883261, 1; 11597816857937357, 1; 100138343014110581, 1
14^90+1 = [37, 1; 197, 1; 1033, 1; 1061, 1; 1383881, 1; 56693904845761, 1; 2189065053896955781, 1; 45555678436399855012801, 1
41^64+1 = [2, 1; 120577, 1; 93040814849, 1; 80350880823867160961, 1; 326549946497470306390924033, 1
33^68+1 = [2, 1; 97, 1; 137, 1; 6113, 1; 20809, 1; 2430316601, 1; 21373531350655016111130353, 1
26^73-1 = [5, 2; 293, 1; 1574553353, 1
26^73+1 = [3, 3; 877, 1; 3067, 1; 71302486471, 1; 3015022137777309849949579, 1
17^84+1 = [2, 1; 73, 1; 1321, 1; 2801, 1; 15121, 1; 41761, 1; 72337, 1; 12876020081, 1; 622434484561, 1; 788614047082016621761, 1
22^77-1 = [3, 1; 7, 2; 67, 1; 353, 1; 16968421, 1; 61303243, 1; 1176469537, 1; 6294765596659, 1
22^77+1 = [23, 1; 29, 1; 43, 1; 89, 1; 86969, 1; 285451051007, 1
30^70+1 = [17, 1; 53, 1; 54121, 1; 572573, 1; 12109381, 1; 460980075781, 1; 927132724337, 1
39^65-1 = [2, 1; 19, 1; 31, 1; 131, 1; 157, 1; 191, 1; 401, 1; 911, 1; 3251, 1; 19442203086541, 1; 617853265920983, 1
39^65+1 = [2, 3; 5, 2; 11, 1; 3511, 1; 41011, 1; 890150815065246151, 1; 12072018714187014493, 1; 818590775898418767898525561, 1
35^67-1 = [2, 1; 17, 1; 7907, 1
35^67+1 = [2, 2; 3, 2; 38459, 1
53^60+1 = [2, 1; 17, 1; 41, 1; 241, 1; 4201, 1; 232073, 1; 45110321, 1; 3915250681, 1; 62259682520881, 1; 2095820501519891401, 1
23^76+1 = [2, 1; 15809, 1; 139921, 1; 40308694338467297, 1
15^88+1 = [2, 1; 353, 1; 3697, 1; 7121, 1; 179953, 1; 62263707129997297, 1; 1285545509619454513, 1
37^66+1 = [2, 1; 5, 1; 13, 1; 137, 1; 1277, 1; 144061, 1; 716402017, 1; 11858150701, 1; 1525285299913, 1; 11862476916440261, 1; 1455882262151801749, 1
24^75-1 = [23, 1; 101, 1; 241, 1; 601, 1; 14401, 1; 17881, 1; 24481, 1; 33601, 1; 36451, 1; 44851, 1; 346201, 1; 1661037601, 1; 23962054482148301, 1
24^75+1 = [5, 4; 7, 1; 11, 1; 31, 1; 79, 1; 151, 1; 1201, 1; 3391, 1; 4801, 1; 5791, 1; 7951, 1; 21001, 1; 86501, 1; 1090681, 1; 46739551, 1; 165634351, 1; 18538334327856439351, 1
44^63-1 = [7, 2; 19, 1; 37, 1; 43, 1; 127, 1; 239, 1; 283, 1; 1163, 1; 3739, 1; 6679, 1; 26713, 1; 41077, 1; 10322047, 1; 1235512909, 1; 35972410313701, 1; 1966072325539897, 1
44^63+1 = [3, 4; 5, 1; 379, 1; 631, 1; 15139, 1; 55819, 1; 159769, 1; 7095062437, 1; 964727825565799, 1
19^81-1 = [2, 1; 3, 6; 127, 1; 487, 1; 523, 1; 3727, 1; 29989, 1; 216919, 1; 907471, 1; 362063089, 1
19^81+1 = [2, 2; 5, 1; 7, 3; 163, 1; 199, 1; 41203, 1; 236377, 1; 2522827, 1; 1001724990823, 1
57^59-1 = [2, 3; 7, 1; 1401639401, 1; 13228150343, 1; 315694938911709823, 1; 26530185059968803558860351, 1
57^59+1 = [2, 1; 29, 1; 2243, 1; 27967, 1; 427076792183, 1; 1596893930485278504731083498402051, 1
13^93-1 = [2, 2; 3, 2; 61, 1; 311, 1; 1117, 1; 1303, 1; 6377362657, 1; 109711631401199502223, 1; 8170509011431363408568150369, 1
13^93+1 = [2, 1; 7, 1; 157, 1; 373, 1; 2729, 1; 23623, 1; 145831193, 1; 16389023943543602257, 1
50^61-1 = [7, 2; 2441, 1; 1339016086140839, 1; 815287727075024814767183, 1
50^61+1 = [3, 1; 17, 1; 29792388289, 1
47^62+1 = [2, 1; 5, 1; 13, 1; 17, 1; 224824713024803026981562696519938343177, 1
29^71-1 = [2, 2; 7, 1; 31621513293496729, 1; 5885237414620874027, 1; 575922000923214999444714868141, 1
29^71+1 = [2, 1; 3, 1; 5, 1; 83448009153877893908450153, 1; 253551009241878644908108309, 1
42^64+1 = [257, 1; 641, 1; 4481, 1; 15233, 1; 720569345052631937, 1; 59532284236561896692702595847851521, 1
54^60+1 = [41, 1; 97, 1; 337, 1; 433, 1; 5108113, 1; 8503057, 1; 127501780456057632484138121, 1
58^59-1 = [3, 1; 19, 1; 9323, 1; 3986513, 1
58^59+1 = [59, 2; 394502321, 1; 214457733089, 1; 44831246727500282353, 1; 357679573320929012069237, 1
20^80+1 = [97, 1; 6756288659793814433, 1
40^65-1 = [3, 1; 13, 2; 677, 1; 6917, 1; 2625641, 1; 282660734773, 1; 3020999518681, 1
40^65+1 = [11, 2; 41, 1; 53, 1; 131, 1; 20641, 1; 85558721, 1; 3609573397, 1; 138203542361, 1; 14818584429611, 1; 50345419305822396211, 1
34^68+1 = [62017, 1; 1336337, 1
45^63-1 = [2, 2; 11, 1; 19, 1; 29, 1; 71, 1; 109, 1; 10009, 1; 829639, 1; 3561391, 1; 4124569, 1; 1624694359, 1; 23709916819, 1; 41497642159, 1
45^63+1 = [2, 1; 7, 2; 23, 1; 43, 1; 127, 1; 283, 1; 883, 1; 7309, 1; 274723, 1; 1136089, 1; 188912767, 1; 41508491767, 1; 1921676813029, 1; 7100197990996321, 1
51^61-1 = [2, 1; 5, 2; 495199, 1; 72001351, 1
51^61+1 = [2, 2; 13, 1; 11584894667, 1
18^83-1 = [17, 1; 167, 1; 59263, 1; 86802964875867109109279559751944809, 1
18^83+1 = [19, 1; 499, 1; 207833, 1; 531646634129969, 1
28^72+1 = [17, 1; 193, 1; 12241, 1; 59809, 1; 151201, 1; 33806737, 1; 365764369, 1; 1350615169, 1; 22223646961, 1
48^62+1 = [5, 1; 461, 1; 53693, 1; 7610326277, 1
38^66+1 = [5, 1; 17, 2; 2113, 1; 2083693, 1; 535100369, 1; 1063619833, 1; 73609866148901550291869, 1
14^91-1 = [13, 2; 157, 1; 8108731, 1; 29914249171, 1; 28814088661742931457, 1; 1831232267609932496997868363, 1
14^91+1 = [3, 1; 5, 1; 79, 1; 911, 1; 7307, 1; 100621, 1; 7027567, 1; 30241695871297, 1
31^70+1 = [2, 1; 13, 1; 29, 1; 37, 1; 181, 1; 281, 1; 7253, 1; 13469, 1; 106261, 1; 107941, 1; 277739477, 1; 4707206941, 1; 77890519715454496560396129461, 1
55^60+1 = [2, 1; 41, 1; 193, 1; 65929, 1; 111593, 1; 6580633, 1; 2871622801, 1; 68822222881, 1; 4485234541681, 1; 1563211806048721, 1
21^79-1 = [2, 2; 5, 1; 2687, 1; 10903, 1; 15208288358346544216626697, 1; 122435283552586211204658864416622901, 1
21^79+1 = [2, 1; 11, 1; 41784481746279594641483665441943191140798018660203, 1
59^59-1 = [2, 1; 29, 1; 709, 1; 141579233, 1
59^59+1 = [2, 2; 3, 1; 5, 1; 4466419, 1; 27759619, 1; 6806872605199, 1; 11821911653180627, 1; 114888627555970745944996436263, 1
43^64+1 = [2, 1; 178061441, 1; 827493655762177, 1
17^85-1 = [2, 4; 5441, 1; 10949, 1; 88741, 1; 208931, 1; 1749233, 1; 22296011, 1; 24543581, 1; 2699538733, 1; 4939937011021, 1; 7517339434046845421, 1
17^85+1 = [2, 1; 3, 2; 11, 1; 71, 1; 101, 1; 45957792327018709121, 1; 414560726212391729865517272853661, 1
15^89-1 = [2, 1; 7, 1; 179, 1; 807409, 1; 18500463452718361, 1
15^89+1 = [2, 4; 12684688516982941, 1
52^61-1 = [3, 1; 17, 1; 367, 1
52^61+1 = [53, 1; 14153, 1; 34649, 1; 763843, 1; 607074726701, 1; 181934475175546400737, 1
26^74+1 = [677, 1; 3701, 1; 1863913, 1; 643138001477, 1; 2614341098911181, 1; 378035719977018250810259472301, 1
22^78+1 = [5, 1; 53, 1; 97, 1; 157, 1; 313, 1; 1489, 1; 498733, 1; 673297, 1; 36365629, 1; 2468996151857, 1; 2526873929581, 1
13^94+1 = [2, 1; 5, 1; 17, 1; 36097, 1; 75389, 1; 99886248944632632917, 1
46^63-1 = [3, 4; 5, 1; 7, 2; 37, 1; 103, 1; 307, 1; 62497, 1; 278029, 1; 1174474099, 1; 9684836827, 1; 10680993247, 1; 16994062455360514407092917, 1
46^63+1 = [19, 1; 43, 1; 47, 1; 109, 1; 127, 1; 757, 1; 5581, 1; 139483, 1; 1697581, 1; 20945317, 1; 9272716111, 1; 101829626641, 1; 47629811054297760850171, 1
33^69-1 = [2, 5; 461, 1; 1123, 1; 3911, 1; 350026513, 1; 1461106583208387755192310613, 1
33^69+1 = [2, 1; 7, 1; 17, 1; 47, 1; 139, 1; 151, 1; 26681, 1; 488797, 1; 4551103, 1; 7390039, 1; 90503207, 1; 107880397, 1; 235399159, 1; 21267490133, 1; 477102479059, 1
41^65-1 = [2, 3; 5, 2; 131, 1; 1171, 1; 11831, 1; 110969, 1; 579281, 1; 17615988547, 1
41^65+1 = [2, 1; 3, 1; 7, 1; 11, 1; 61, 1; 79, 1; 4111, 1; 432589, 1; 644522798011, 1; 9335596834981, 1; 33574965983093338194578727584591, 1
23^77-1 = [2, 1; 11, 2; 29, 1; 5336717, 1; 3937230404603, 1; 182688705194696220829, 1
23^77+1 = [2, 3; 3, 1; 71, 1; 463, 1; 673, 1; 2969, 1; 9980279, 1; 3471747294401, 1; 39700406579747, 1; 604282871748410869340577637, 1
19^82+1 = [2, 1; 181, 1; 8693, 1; 429905758180413633468024775816828725077, 1
30^71-1 = [29, 1; 2557, 1; 55640287, 1; 7357260409416410663267, 1
30^71+1 = [31, 1; 19597, 1; 18380339, 1; 6914384231924331500092352689697439862798457, 1
56^60+1 = [41, 1; 73, 1; 100801, 1; 9834497, 1; 1324894544377, 1; 16808541046614054121, 1; 228152131876570054227659801, 1
24^76+1 = [99257, 1; 331777, 1
35^68+1 = [2, 1; 137, 1; 2857, 1; 7481, 1; 20129, 1; 750313, 1; 5576852993, 1
39^66+1 = [2, 1; 761, 1; 3433, 1; 22573, 1; 1671121, 1; 2311921, 1; 260592377, 1; 5387785552117, 1; 74023768574167426961, 1
37^67-1 = [2, 2; 3, 2; 269, 1; 446221, 1; 152396765001287591, 1
37^67+1 = [2, 1; 19, 1; 31153274141213881, 1
53^61-1 = [2, 2; 13, 1; 4852617050313249081293371405555776730569547, 1
53^61+1 = [2, 1; 3, 3; 8194778217125403181132925846320901250851405699, 1
44^64+1 = [11079795073, 1; 19997433904995365869542768320257176961, 1
29^72+1 = [2, 1; 17, 1; 673, 1; 26209, 1; 561377, 1; 11419906609, 1; 159959409668307793, 1; 51264663088279763377, 1; 371837256582239379457, 1
50^62+1 = [41, 1; 61, 1; 373, 1; 135781, 1; 7391269, 1; 40689754002142416245177, 1; 27912659223158460843311959393, 1
47^63-1 = [2, 1; 19, 1; 23, 1; 37, 1; 43, 1; 61, 1; 127, 1; 400681, 1; 256128979, 1; 567332587, 1; 2234786206087, 1; 218986325740360251685780429843, 1
47^63+1 = [2, 4; 3, 3; 7, 2; 103, 1; 3529, 1; 3691, 1; 5881, 1; 23227, 1; 95929, 1; 355321, 1; 973459, 1; 1794703, 1; 2155861, 1; 589101787, 1
57^60+1 = [2, 1; 601, 1; 1801, 1; 387169, 1; 5278001, 1; 287804929, 1; 10337608753481, 1; 1201095550676921, 1
20^81-1 = [19, 1; 421, 1; 64008001, 1; 150773239, 1; 879338701, 1; 298114935351301, 1; 7599707813206155097384225291, 1
20^81+1 = [3, 5; 7, 1; 109, 1; 127, 1; 163, 1; 307, 1; 4483, 1; 69481, 1; 99672121, 1; 1794112741, 1
18^84+1 = [113, 1; 929, 1; 3697, 1; 11019855601, 1; 361981632928757554946658433, 1
14^92+1 = [41, 1; 937, 1; 1657, 1; 726769322233, 1; 1355468392097, 1
42^65-1 = [11, 1; 41, 1; 53, 1; 181, 1; 1601, 1; 1602901, 1; 119999023, 1; 4852922309, 1; 34492551826295291, 1
42^65+1 = [43, 1; 131, 1; 18461, 1; 23201, 1; 120641, 1; 1153517, 1; 3473731, 1; 1381952443, 1; 367645736101541, 1
28^73-1 = [3, 3; 439, 1; 1924218827, 1; 1395719566812246425341583, 1; 33669332701243432328246627927, 1
28^73+1 = [29, 1; 877, 1; 1081277, 1; 361030699, 1; 8196570580777833295687571, 1
34^69-1 = [3, 2; 11, 1; 47, 1; 139, 1; 397, 1; 691, 1; 49957, 1; 65413, 1; 76039, 1; 11877483246539468276658679, 1
34^69+1 = [5, 1; 7, 1; 277, 1; 1123, 1; 349831, 1; 6527539, 1; 3985773656677, 1; 2332350350789787637, 1; 1200699736113456442159, 1
54^61-1 = [53, 1; 4637, 1; 32904029059528723344352074697, 1
54^61+1 = [5, 1; 11, 1; 13421, 1; 12447173, 1; 8072710111, 1
40^66+1 = [61, 1; 89, 1; 1601, 1; 2069, 1; 41941, 1; 409861, 1; 6398261, 1; 11926729, 1; 227551358517341, 1; 55847122150040300641, 1
21^80+1 = [2, 1; 1217, 1; 2689, 1; 31873, 1; 35201, 1; 6857635489, 1; 742519225358081, 1
45^64+1 = [2, 1; 1902641631856641539329, 1
58^60+1 = [41, 1; 2393, 1; 4729, 1; 20161, 1; 33409, 1; 190129, 1; 400003693899756583014833801, 1
17^86+1 = [2, 1; 5, 1; 29, 1; 173, 1; 2237, 1; 26673589, 1; 130246136377853, 1
13^95-1 = [2, 2; 3, 1; 191, 1; 27361, 1; 30941, 1; 4986361, 1; 12865927, 1; 9468940004449, 1
13^95+1 = [2, 1; 7, 1; 11, 1; 2411, 1; 19755615371, 1; 3657554614741, 1; 5810151294071, 1; 104422877883960436477, 1
38^67-1 = [37, 1; 269, 1; 1969519919767, 1; 58689823485624250571, 1
38^67+1 = [3, 1; 13, 1; 14071, 1; 3651271397, 1; 57485522291, 1; 1239965870454121, 1
15^90+1 = [2, 1; 13, 1; 37, 1; 113, 1; 3877, 1; 19421, 1; 33601, 1; 131381, 1; 278041, 1; 318601, 1; 706195561, 1; 2911460401, 1; 3506657472973, 1; 105091981250955481, 1
51^62+1 = [2, 1; 1301, 1
31^71-1 = [2, 1; 3, 1; 5, 1; 17609, 1; 611127785361198601, 1; 642443809919609072204778169817, 1
31^71+1 = [2, 5; 10603709, 1; 1331988009281919919112231122509158475284430963251, 1
48^63-1 = [13, 1; 47, 1; 71, 1; 181, 1; 31081, 1; 65701, 1; 186157, 1; 175926983, 1; 1687867926697, 1; 4712598196817449, 1; 11463867371190997981, 1
48^63+1 = [7, 3; 19, 1; 37, 1; 43, 1; 61, 1; 127, 1; 379, 1; 5209, 1; 5851, 1; 24571, 1; 42967, 1; 110017, 1; 645751, 1; 2807407, 1; 1711569511, 1; 3062033466409, 1; 600615109857751129, 1
22^79-1 = [3, 1; 7, 1
22^79+1 = [23, 1
26^75-1 = [5, 4; 11, 1; 19, 1; 37, 1; 8641, 1; 9661, 1; 317701, 1; 2906801, 1; 20785291, 1; 4315817869647001, 1; 45054418717916808461851, 1
26^75+1 = [3, 4; 7, 1; 31, 1; 151, 1; 431, 1; 1021, 1; 7951, 1; 28201, 1; 14346244151, 1; 216846518851, 1; 1727127900352201, 1; 9199235946217201, 1
19^83-1 = [2, 1; 3, 2; 167, 1
19^83+1 = [2, 2; 5, 1; 3980017, 1; 28615780547655601, 1
55^61-1 = [2, 1; 3, 3; 23867593, 1
55^61+1 = [2, 3; 7, 1; 733, 1; 755236898037041723, 1
43^65-1 = [2, 1; 3, 1; 7, 1; 131, 1; 2081, 1; 3500201, 1; 4479676558681871, 1; 40911050578149780601, 1
43^65+1 = [2, 2; 11, 1; 53, 1; 1301, 1; 3121, 1; 21841, 1; 55147, 1; 3341101, 1; 9093478224091, 1; 13361016018611, 1; 193075608041161, 1; 4654543684527542521, 1
23^78+1 = [2, 1; 5, 1; 37, 1; 53, 1; 157, 1; 7549, 1; 2861561, 1; 278640181, 1; 19243596061, 1; 3829141917458729, 1
59^60+1 = [2, 1; 17, 1; 241, 1; 593, 1; 601, 1; 58321, 1; 6890341821161, 1; 146830425486961, 1; 3128897838082361, 1; 25463693535122400344401, 1
24^77-1 = [23, 1; 29, 1; 67, 1; 239, 1; 7349, 1; 28771, 1; 136753, 1; 134367047, 1; 381000640372162273, 1; 3103766366465410644478943, 1
24^77+1 = [5, 2; 7393, 1; 183458857, 1; 60867245726761, 1
33^70+1 = [2, 1; 5, 2; 41, 1; 61, 1; 109, 1; 281, 1; 4721, 1; 23801, 1; 11001991508009041, 1; 1666359341086055617, 1
30^72+1 = [337, 1; 401, 1; 1297, 1; 4855073, 1; 532856497, 1; 807848290154833, 1
52^62+1 = [5, 1; 541, 1; 27199897, 1; 818040277, 1
46^64+1 = [944257, 1; 52208711297, 1; 6806175851393423565671196264598472321, 1
41^66+1 = [2, 1; 13, 1; 29, 2; 109, 1; 1277, 1; 1993, 1; 2377, 1; 3037, 1; 11174530093, 1; 296823196796698573, 1; 141002872158635579680840653413, 1
35^69-1 = [2, 1; 13, 1; 17, 1; 97, 1; 139, 1; 27739, 1; 51378407953, 1; 83212722673, 1; 2244479939269, 1; 715589319888957668605573, 1
35^69+1 = [2, 2; 3, 3; 47, 1; 397, 1; 8107823, 1; 98665447, 1; 338724757292881, 1; 23782658632422541223512211, 1
14^93-1 = [13, 1; 211, 1; 244898761, 1; 2472843559729, 1; 253445952598770930829423, 1; 3544762693352021265837373, 1
14^93+1 = [3, 2; 5, 1; 61, 1; 1613, 1; 3163, 1; 168269, 1; 7476844183, 1; 3519020880787, 1; 5329700081717383927, 1
39^67-1 = [2, 1; 19, 1; 1710181378935167809319928954519193424455741201, 1
39^67+1 = [2, 3; 5, 1; 11927, 1; 1447067, 1; 1077516868525091, 1; 8439745730700814436191, 1
37^68+1 = [2, 1; 89, 1; 10529, 1; 3378377, 1; 42066623761, 1; 5556078973369, 1
56^61-1 = [5, 1; 11, 1; 367, 1; 9029, 1
56^61+1 = [3, 1; 19, 1; 195085321, 1; 31301397367452880644774094242845020609837, 1
20^82+1 = [401, 1; 364984924121, 1; 42728337802653649, 1
60^60+1 = [17, 1; 41, 1; 281, 1; 521, 1; 2713, 1; 80449, 1; 44022001, 1; 828711601, 1; 2087802049, 1; 51680396161, 1; 1593657438236641, 1
18^85-1 = [17, 2; 41, 1; 1361, 1; 2711, 1; 3911, 1; 3462391, 1; 5124991, 1; 10275311, 1; 23718627631, 1; 7563707819165039903, 1
18^85+1 = [11, 1; 19, 1; 137, 1; 443, 1; 9041, 1; 35919131, 1; 1895634885375961, 1
29^73-1 = [2, 2; 7, 1; 6053603111, 1; 378491163256757, 1; 44615044785278167337, 1; 1776134532576692154401, 1
29^73+1 = [2, 1; 3, 1; 5, 1; 877, 1; 17315747, 1; 209981873, 1; 19102002081955131137, 1
44^65-1 = [43, 1; 53, 1; 131, 1; 313, 1; 4759, 1; 62297, 1; 126491, 1; 3835261, 1; 10955023, 1; 992079791, 1
44^65+1 = [3, 2; 5, 2; 421, 1; 1741, 1; 18539, 1; 2777064559610927, 1; 6962625655637855802110187911, 1
53^62+1 = [2, 1; 5, 1; 281, 1; 92440192126938595012573, 1; 93510080383641146298112331285100865253, 1
13^96+1 = [2, 1; 193, 1; 1153, 1; 1601, 1; 10433, 1; 68675120456139881482562689, 1; 11352931040252580224415980746369, 1
47^64+1 = [2, 1; 634241, 1; 1393921, 1; 596367067316360449, 1
15^91-1 = [2, 1; 7, 2; 53, 1; 911, 1; 157483, 1; 1743463, 1; 16655159, 1; 24002161, 1; 124074497, 1; 936800875930739, 1
15^91+1 = [2, 4; 79, 1; 3706067, 1; 10678711, 1; 1539711288259, 1; 94672331640797, 1; 10640666506292551, 1
50^63-1 = [7, 3; 127, 1; 631, 1; 2017, 1; 2551, 1; 165817, 1; 1104097, 1; 10290337, 1; 2277696793, 1; 15625125001, 1; 21773059085233, 1
50^63+1 = [3, 3; 17, 1; 19, 1; 43, 1; 211, 1; 6091, 1; 6427, 1; 28603, 1; 182089, 1; 2514961, 1; 28352991619, 1; 183630997877083, 1
17^87-1 = [2, 4; 59, 1; 307, 1; 523, 1; 7193, 1; 8179, 1; 16879, 1; 6088087, 1; 37286983, 1; 52627759112497, 1; 11658852700685942029849, 1
17^87+1 = [2, 1; 3, 3; 7, 1; 13, 1; 349, 1; 23549, 1; 53593, 1; 2919779, 1; 15598057, 1; 18032534719, 1; 61878754061, 1
28^74+1 = [5, 1; 157, 1
21^81-1 = [2, 2; 5, 1; 109, 1; 163, 1; 463, 1; 4779433, 1; 85775383, 1; 7429452749713, 1
21^81+1 = [2, 1; 11, 1; 19, 1; 37, 1; 199, 1; 421, 1; 613, 1; 1783, 1; 5077, 1; 17497, 1; 110323, 1; 7101932659132249, 1
57^61-1 = [2, 3; 7, 1; 8297, 1; 275599, 1; 454102852372034133722600077, 1
57^61+1 = [2, 1; 29, 1; 977, 1; 431898667, 1; 3519003390903618764755673, 1; 20500212815560871346128284471, 1
42^66+1 = [5, 1; 89, 1; 353, 1; 673, 1; 3301, 1; 4621, 1; 63361, 1; 1418881993, 1; 36440252058534413, 1
34^70+1 = [13, 1; 89, 1; 281, 1; 6581, 1; 24893280301, 1; 97600331641, 1; 1784250435661, 1; 1065635017297481, 1; 8485260107435861, 1
40^67-1 = [3, 1; 13, 1; 1609, 1; 27477907, 1; 353559835357, 1
40^67+1 = [41, 1
31^72+1 = [2, 1; 17, 1; 97, 1; 1704673, 1; 476428033, 1; 25085030513, 1; 18210235769136721, 1; 7499207440683838894753, 1
22^80+1 = [449, 1; 180001, 1; 2310689, 1; 2902518892577, 1; 9621842168443061282218081, 1
54^62+1 = [2917, 1; 4458230758773551238806221, 1
19^84+1 = [2, 1; 17, 1; 3833, 1; 4297, 1; 3952393, 1; 4898725341275828472027787456561, 1
38^68+1 = [41, 1; 50857, 1; 2214026043915374579009716433, 1
45^65-1 = [2, 2; 11, 1; 131, 1; 1471, 1; 2851, 1; 48491, 1; 374665201, 1; 411590401, 1; 1436796791, 1; 85127742311, 1; 1987607593147801, 1
45^65+1 = [2, 1; 23, 1; 41, 1; 2003, 1; 97841, 1; 2529229, 1; 13314833663, 1; 13941960463051394148848528041003476421, 1
26^76+1 = [17, 1; 26881, 1; 5548489897, 1; 25320232858838841728481328217, 1; 8751329810753593058093497033897, 1
58^61-1 = [3, 1; 19, 1; 733, 1; 90559148201, 1
58^61+1 = [59, 1; 3295264409, 1; 7192041338831, 1; 82283126277816266983540643657458661879089, 1
23^79-1 = [2, 1; 11, 1; 317, 1; 5605051, 1; 17510351, 1; 1711849421, 1; 5308250621847606803, 1
23^79+1 = [2, 3; 3, 1; 29863, 1
51^63-1 = [2, 1; 5, 2; 7, 2; 379, 1; 3697, 1; 11411, 1; 34147, 1; 132679, 1; 1572887, 1; 17596420453, 1; 647186213288917, 1; 11729992239855919, 1
51^63+1 = [2, 2; 13, 1; 19, 1; 29, 1; 43, 1; 71, 1; 127, 1; 421, 1; 463, 1; 2551, 1; 40111, 1; 1278817, 1; 48461449, 1; 290685529, 1; 926113429, 1
48^64+1 = [417813806500107334422529, 1; 171384369229251163605657601, 1
24^78+1 = [13, 2; 73, 1; 157, 1; 313, 1; 349, 1; 577, 1; 20749, 1; 128857, 1; 95795485657, 1; 30030953107741, 1; 2136732643031689, 1; 4140359222873146573, 1
14^94+1 = [197, 1; 123517, 1; 23688237358867852955597637113063638372710957829, 1
43^66+1 = [2, 1; 5, 2; 37, 1; 6337, 1; 15973, 1; 53593, 1; 568657, 1; 3416953, 1; 29224547986227053551568061157, 1
33^71-1 = [2, 5; 569, 1; 2557, 1; 5187971, 1; 70643723, 1; 1067881020542521, 1; 2293884580685623957, 1; 95535853750558053319843, 1
33^71+1 = [2, 1; 17, 1; 6108983, 1; 3648534830043396481338793, 1
30^73-1 = [29, 1; 500606982978582492107, 1
30^73+1 = [31, 1; 6133, 1; 1305971, 1; 9303851, 1; 6154752013844260765111, 1; 4978667413900828078949549, 1
55^62+1 = [2, 1; 17, 1; 89, 1; 1240484071201, 1; 40420782181701941, 1; 60020439454964647806557, 1
18^86+1 = [5, 2; 13, 1; 173, 1; 8429, 1; 9581702213, 1; 43983075563266931110717441203192765085093, 1
20^83-1 = [19, 1; 27817851030769, 1; 2871487521092731391, 1; 414249085636225553185611071, 1
20^83+1 = [3, 1; 7, 1; 167, 1; 343289, 1; 9625843, 1
59^61-1 = [2, 1; 29, 1; 367, 1; 2441, 1; 54413, 1; 436273, 1
59^61+1 = [2, 2; 3, 1; 5, 1; 1370463715775395663123263267401737793110333036357, 1
13^97-1 = [2, 2; 3, 1; 389, 1; 971, 1; 93964390627, 1
13^97+1 = [2, 1; 7, 1; 404094629, 1
41^67-1 = [2, 3; 5, 1; 269, 1; 466723, 1; 862559, 1; 168225209, 1; 196633877057848946743623103, 1; 77245547442917125165296411739, 1
41^67+1 = [2, 1; 3, 1; 7, 1; 317179, 1
46^65-1 = [3, 2; 5, 2; 53, 1; 79, 1; 131, 1; 157, 1; 547, 1; 24077, 1; 915391, 1; 10598563, 1; 51789947431, 1; 21743939130811, 1
46^65+1 = [11, 1; 31, 1; 47, 1; 71, 1; 181, 1; 7411, 1; 209327, 1; 419690080437473, 1
35^70+1 = [2, 1; 181, 1; 613, 1; 305369, 1; 12431152621, 1; 147808623761, 1; 11056997307329, 1
52^63-1 = [3, 3; 17, 1; 29, 1; 43, 1; 127, 1; 337, 1; 919, 1; 991, 1; 1303, 1; 1583, 1; 5209, 1; 8191, 1; 52363, 1; 1597597, 1; 1071321931, 1; 3254599129712990747437, 1
52^63+1 = [7, 2; 19, 1; 53, 1; 379, 1; 1195489, 1; 4327093, 1; 1040551003, 1; 19397579293, 1; 47606465238403, 1; 37902864152944874310575419, 1
39^68+1 = [2, 1; 953, 1; 1156721, 1; 150946477016946024834952969, 1
15^92+1 = [2, 1; 17, 1; 1489, 1
37^69-1 = [2, 2; 3, 3; 7, 1; 47, 1; 67, 1; 139, 1; 2224147, 1; 1845029930335901, 1; 375176717285846681, 1
37^69+1 = [2, 1; 19, 1; 31, 1; 43, 1; 397073, 1; 1495231, 1; 3600283, 1; 88578337, 1; 1555898389, 1; 33365387742119, 1; 469773284253201926058667, 1
29^74+1 = [2, 1; 421, 1; 593, 1; 18353, 1; 32117, 1; 940705857471173, 1
17^88+1 = [2, 1; 18913, 1; 184417, 1
56^62+1 = [373, 1; 3137, 1; 22817, 1; 5118101, 1; 3386129009, 1; 2378055944233, 1; 550386339795388324920941723693, 1
21^82+1 = [2, 1; 13, 1; 17, 1; 153065748541, 1; 166149756476309, 1; 294168762061816395873078148041249581, 1
60^61-1 = [59, 1; 7687, 1; 20979773866271054688241, 1
60^61+1 = [61, 2; 22742387, 1; 1039052667517004801929647383, 1; 2372500211008333003222944301, 1
44^66+1 = [13, 1; 149, 1; 1753, 1; 2137, 1; 46993, 1; 1006897, 1; 2269900598417, 1; 325703497841450045153, 1
28^75-1 = [3, 4; 31, 1; 271, 1; 15101, 1; 15991, 1; 36901, 1; 106801, 1; 637421, 1; 734941, 1; 6813064001, 1; 7984305701, 1; 171813927594772108174052851, 1
28^75+1 = [11, 1; 29, 1; 151, 1; 757, 1; 4621, 1; 53951, 1; 2606251, 1; 39148201, 1; 84673681, 1; 222929435014083414901, 1
53^63-1 = [2, 2; 7, 2; 13, 1; 29, 1; 37, 1; 43, 1; 163, 1; 307, 1; 409, 1; 3907, 1; 11971, 1; 210421, 1; 511509937, 1; 778986167, 1; 3130547197, 1
53^63+1 = [2, 1; 3, 5; 19, 1; 127, 1; 673, 1; 919, 1; 2647, 1; 319411, 1; 1360423, 1; 32323789, 1; 388845829, 1; 315473447928619, 1; 189091264897987327, 1
47^65-1 = [2, 1; 11, 1; 23, 1; 31, 1; 53, 1; 2237, 1; 14621, 1; 14050609, 1; 71265169, 1; 972341761, 1; 17092615411, 1; 33244291081, 1
47^65+1 = [2, 4; 3, 1; 131, 1; 911, 1; 12377, 1; 372061, 1; 4778021, 1; 2273761751, 1; 70168829040103, 1
19^85-1 = [2, 1; 3, 2; 151, 1; 911, 1; 3044803, 1; 12299588826871, 1; 99995282631947, 1; 4091790564972909948701, 1
19^85+1 = [2, 2; 5, 2; 11, 1; 2251, 1; 140495619966101, 1; 274019342889240109297, 1; 693128329340299192949731, 1
50^64+1 = [257, 1; 30977, 1; 37633, 1
34^71-1 = [3, 1; 11, 1; 1279, 1; 575243, 1; 276394318547, 1
34^71+1 = [5, 1; 7, 1; 569, 1; 853, 1; 1847, 1; 2699, 1; 2862814878908925903954231791, 1
22^81-1 = [3, 5; 7, 1; 13, 2; 109, 1; 127, 1; 163, 1; 433, 1; 297613, 1; 2558953, 1; 5499494353, 1; 24678723493, 1; 59780311093, 1
22^81+1 = [19, 1; 23, 1; 463, 1; 811, 1; 3187, 1; 144667, 1; 1066231, 1; 5966803, 1; 2964868327, 1