A139956 Primes of the form 3x^2+136y^2.

3, 139, 163, 211, 283, 379, 499, 547, 571, 619, 643, 691, 787, 811, 907, 1051, 1459, 1627, 1723, 1867, 2011, 2131, 2179, 2203, 2251, 2539, 2659, 2683, 2731, 2851, 3019, 3067, 3259, 3499, 3547, 3643, 3907, 4051, 4219, 4243, 4363, 4483, 4651

Offset: 1

Author

T. D. Noe, May 02 2008

Keywords

• nonn
• easy

Comments

Discriminant=-1632. 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

[3] cat [ p: p in PrimesUpTo(6000) | p mod 408 in [91, 139, 163, 211, 235, 283, 379, 403]]; // Vincenzo Librandi, Aug 02 2012

Mathematica

QuadPrimes2[3, 0, 136, 10000] (* see A106856 *)

Formula

Except for 3, the primes are congruent to {91, 139, 163, 211, 235, 283, 379, 403} (mod 408).