A126108 Numbers n such that n^2-2 and (n+2)^2-2 are primes.

3, 5, 7, 13, 19, 27, 33, 35, 47, 61, 69, 75, 117, 119, 231, 237, 257, 265, 299, 301, 313, 335, 355, 357, 441, 447, 467, 489, 495, 523, 573, 607, 713, 761, 943, 993, 1021, 1069, 1071, 1141, 1147, 1175, 1231, 1239, 1251, 1265, 1287, 1357, 1363, 1365, 1391, 1461

Offset: 1

Author

Zak Seidov, Mar 11 2007

Keywords

• nonn

Comments

The number of such n's <= 10^n: 3, 12, 36, 216, 1279,... Cf A126334 for prime n's.

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A126334.

Programs

Mathematica

Select[Range[10^5], PrimeQ[#^2-2] && PrimeQ[(#+2)^2-2]&]