A176695 Primes of the form x^2 + 29*(x+1)^2.

29, 1069, 4297, 7649, 18701, 21817, 34613, 45553, 52837, 60661, 63389, 71933, 77929, 81017, 90641, 107881, 111509, 122753, 155377, 168601, 187073, 201557, 264893, 369409, 376097, 438989, 476029, 498973, 579353, 674701, 711173, 767681

Offset: 1

Author

Giovanni Teofilatto, Apr 24 2010

Keywords

• nonn

Comments

a(n) == 1 (mod 4).

Links

• Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A176608, A176616, A176617.

Programs

Magma

[ a: n in [0..250] | IsPrime(a) where a is 30*n^2+58*n+29 ] // Vincenzo Librandi, Apr 25 2010

Mathematica

Select[Table[x^2 + 29(x + 1)^2, {x, 0, 200}], PrimeQ] (* Harvey P. Dale, Dec 12 2010 *)

Extensions

Corrected and extended by Vincenzo Librandi, Apr 25 2010