p(n) = n^2 + n + 41 = 41+n(n+1)
Generate 40 primes by adding even numbers, no multiplication.
n | p(n) | difference |
---|---|---|
0 | 41 | |
1 | 43 | 2 |
2 | 47 | 4 |
3 | 53 | 6 |
4 | 61 | 8 |
5 | 71 | 10 |
6 | 83 | 12 |
7 | 97 | 14 |
8 | 113 | 16 |
9 | 131 | 18 |
10 | 151 | 20 |
11 | 173 | 22 |
12 | 197 | 24 |
13 | 223 | 26 |
14 | 251 | 28 |
15 | 281 | 30 |
16 | 313 | 32 |
17 | 347 | 34 |
18 | 383 | 36 |
19 | 421 | 38 |
20 | 461 | 40 |
21 | 503 | 42 |
22 | 547 | 44 |
23 | 593 | 46 |
24 | 641 | 48 |
25 | 691 | 50 |
26 | 743 | 52 |
27 | 797 | 54 |
28 | 853 | 56 |
29 | 911 | 58 |
30 | 971 | 60 |
31 | 1033 | 62 |
32 | 1097 | 64 |
33 | 1163 | 66 |
34 | 1231 | 68 |
35 | 1301 | 70 |
36 | 1373 | 72 |
37 | 1447 | 74 |
38 | 1523 | 76 |
39 | 1601 | 78 |
and the next term is not prime, 1681 = 41*41.
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