A139970 Primes of the form 4x^2+4xy+131y^2.

131, 139, 179, 211, 251, 419, 491, 571, 659, 859, 971, 1091, 1171, 1291, 1459, 1499, 1531, 1699, 1811, 1979, 2011, 2131, 2339, 2531, 2539, 2731, 2851, 2939, 3019, 3251, 3259, 3299, 3331, 3371, 3539, 3571, 3691, 3779, 3851, 4091, 4099, 4211

Offset: 1

Author

T. D. Noe, May 02 2008

Keywords

• nonn
• easy

Comments

Discriminant=-2080. See A139827 for more information.

Links

• Vincenzo Librandi and Ray Chandler, Table of n, a(n) for n = 1..10000 [First 1000 terms from Vincenzo Librandi]
• N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Programs

Magma

[ p: p in PrimesUpTo(6000) | p mod 520 in [51, 131, 139, 179, 211, 251, 259, 339, 419, 451, 459, 491]]; // Vincenzo Librandi, Aug 02 2012

Mathematica

QuadPrimes2[4, -4, 131, 10000] (* see A106856 *)

Formula

The primes are congruent to {51, 131, 139, 179, 211, 251, 259, 339, 419, 451, 459, 491} (mod 520).