A140000 Primes of the form 4x^2+4xy+331y^2.

331, 379, 499, 619, 691, 859, 1171, 1291, 1699, 2011, 2179, 2539, 2731, 2971, 3019, 3259, 3331, 3499, 3931, 4051, 4339, 4651, 5179, 5659, 5779, 6451, 6571, 6691, 7219, 7459, 8011, 8419, 8539, 8779, 9091, 9619, 9739, 9859, 9931, 10099, 10459

Offset

1,1

Comments

Discriminant=-5280. 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

The primes are congruent to {91, 331, 379, 499, 619, 691, 859, 1171, 1219, 1291} (mod 1320).

Mathematica

QuadPrimes2[4, -4, 331, 10000] (* see A106856 *)

Prog

(Magma) [p: p in PrimesUpTo(12000) | p mod 1320 in [91, 331, 379, 499, 619, 691, 859, 1171, 1219, 1291]]; // Vincenzo Librandi, Aug 03 2012

Crossrefs

Sequence in context: A365596 A179400 A139657 * A248535 A142763 A020373

Adjacent sequences: A139997 A139998 A139999 * A140001 A140002 A140003

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved