Saturday, March 02, 2013

[dnnrjfzk] First differences of Euler's prime generating polynomial

p(n) = n^2 + n + 41 = 41+n(n+1)

Generate 40 primes by adding even numbers, no multiplication.

np(n)difference
041
1432
2474
3536
4618
57110
68312
79714
811316
913118
1015120
1117322
1219724
1322326
1425128
1528130
1631332
1734734
1838336
1942138
2046140
2150342
2254744
2359346
2464148
2569150
2674352
2779754
2885356
2991158
3097160
31103362
32109764
33116366
34123168
35130170
36137372
37144774
38152376
39160178

and the next term is not prime, 1681 = 41*41.

No comments :