A139928 Primes of the form 2x^2+165y^2.

2, 167, 173, 197, 263, 293, 503, 557, 677, 743, 887, 1223, 1487, 1493, 1583, 1613, 1733, 1823, 1847, 1877, 1997, 2063, 2087, 2207, 2213, 2477, 2543, 2837, 2903, 3167, 3407, 3527, 3533, 3797, 3863, 4127, 4133, 4157, 4253, 4373, 4397, 4463

Offset: 1

Author

T. D. Noe, May 02 2008

Keywords

• nonn
• easy

Comments

Discriminant=-1320. 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 1320 in [2, 167, 173, 197, 263, 293, 413, 437, 503, 527, 557, 623, 677, 743, 767, 887, 893, 1007, 1157, 1223, 1253]]; // Vincenzo Librandi, Aug 02 2012

Mathematica

QuadPrimes2[2, 0, 165, 10000] (* see A106856 *)

Formula

The primes are congruent to {2, 167, 173, 197, 263, 293, 413, 437, 503, 527, 557, 623, 677, 743, 767, 887, 893, 1007, 1157, 1223, 1253} (mod 1320).