A140003 Primes of the form 8x^2+8xy+167y^2.

167, 263, 503, 743, 887, 1223, 1487, 1583, 1823, 1847, 2063, 2087, 2207, 2543, 2903, 3167, 3407, 3527, 3863, 4127, 4463, 4583, 4703, 4967, 5783, 5807, 5903, 6047, 6287, 6863, 7103, 7127, 7487, 7607, 7823, 8087, 8423, 8447, 8543, 8663

Offset: 1

Author

T. D. Noe, May 02 2008

Keywords

• nonn
• easy

Comments

Discriminant = -5280. See A139827 for more information.

Also primes of the forms 32x^2+16xy+167y^2 and 32x^2+24xy+87y^2. See A140633. - T. D. Noe, May 19 2008

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(12000) | p mod 1320 in [167, 263, 503, 527, 623, 743, 767, 887, 1007, 1223]]; // Vincenzo Librandi, Aug 04 2012

Mathematica

QuadPrimes2[8, -8, 167, 10000] (* see A106856 *)

Formula

The primes are congruent to {167, 263, 503, 527, 623, 743, 767, 887, 1007, 1223} (mod 1320).