A139894 Primes of the form 4x^2+4xy+59y^2.

59, 67, 83, 107, 139, 179, 227, 283, 347, 419, 499, 523, 547, 571, 587, 643, 683, 691, 787, 811, 883, 1019, 1051, 1283, 1427, 1451, 1459, 1483, 1499, 1531, 1571, 1579, 1619, 1747, 1811, 1907, 1979, 2083, 2179, 2203, 2267, 2371, 2411, 2459, 2539

Offset: 1

Author

T. D. Noe, May 02 2008

Keywords

• nonn
• easy

Comments

Discriminant=-928. 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(3000) | p mod 232 in [35, 51, 59, 67, 83, 91, 107, 115, 123, 139, 179, 187, 219, 227]]; // Vincenzo Librandi, Jul 31 2012

Mathematica

QuadPrimes2[4, -4, 59, 10000] (* see A106856 *)

Formula

The primes are congruent to {35, 51, 59, 67, 83, 91, 107, 115, 123, 139, 179, 187, 219, 227} (mod 232).