A139922 Primes of the form 4x^2+4xy+79y^2.

79, 103, 127, 199, 367, 439, 607, 727, 751, 823, 919, 991, 1039, 1063, 1231, 1303, 1327, 1447, 1543, 1663, 1759, 1951, 1999, 2239, 2287, 2311, 2383, 2551, 2791, 2887, 3319, 3511, 3559, 3631, 3727, 3823, 3847, 3943, 4111, 4159, 4423, 4447

Offset

1,1

Comments

Discriminant=-1248. 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 {55, 79, 103, 127, 199, 295} (mod 312).

Mathematica

QuadPrimes2[4, -4, 79, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 312 in [55, 79, 103, 127, 199, 295]]; // Vincenzo Librandi, Aug 01 2012

Crossrefs

Sequence in context: A296012 A193142 A033250 * A112795 A107162 A238186

Adjacent sequences: A139919 A139920 A139921 * A139923 A139924 A139925

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved