A139907 Primes of the form 2x^2+2xy+137y^2.

2, 137, 149, 197, 281, 317, 401, 449, 557, 617, 821, 977, 1061, 1229, 1289, 1373, 1409, 1493, 1709, 1877, 1913, 1997, 2069, 2153, 2333, 2381, 2633, 2657, 2741, 2801, 2969, 3089, 3257, 3413, 3557, 3581, 3593, 3677, 3833, 4253, 4337, 4349

Offset: 1

Author

T. D. Noe, May 02 2008

Keywords

• nonn
• easy

Comments

Discriminant=-1092. 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(5000) | p mod 1092 in {2, 137, 149, 197, 281, 305, 317, 401, 449, 473, 557, 617, 785, 821, 869, 905, 977, 1061, 1073}]; // Vincenzo Librandi, Jul 31 2012

Mathematica

QuadPrimes2[2, -2, 137, 10000] (* see A106856 *)

Formula

The primes are congruent to {2, 137, 149, 197, 281, 305, 317, 401, 449, 473, 557, 617, 785, 821, 869, 905, 977, 1061, 1073} (mod 1092).