A140031 Primes of the form 7x^2+264y^2.

7, 271, 439, 607, 1063, 1231, 1399, 1447, 2239, 2287, 2383, 2551, 2719, 2791, 3079, 3559, 3583, 3967, 4231, 4567, 4639, 4759, 4903, 5407, 5431, 6079, 6151, 6247, 6607, 6991, 7927, 8263, 8599, 8623, 8839, 9103, 9127, 9511, 9631, 9679, 10111

Offset

1,1

Comments

Discriminant=-7392. 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)

Formula

Except for 7, the primes are congruent to {271, 391, 439, 535, 607, 703, 871, 943, 1063, 1207, 1231, 1399, 1447, 1711, 1735} (mod 1848).

Mathematica

QuadPrimes2[7, 0, 264, 10000] (* see A106856 *)

Prog

(Magma) [7] cat [ p: p in PrimesUpTo(12000) | p mod 1848 in {271, 391, 439, 535, 607, 703, 871, 943, 1063, 1207, 1231, 1399, 1447, 1711, 1735} ]; // Vincenzo Librandi, Aug 06 2012

Crossrefs

Sequence in context: A179565 A069449 A100465 * A066413 A332127 A222942

Adjacent sequences: A140028 A140029 A140030 * A140032 A140033 A140034

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved