A139938 Primes of the form 6x^2+6xy+59y^2.

59, 71, 131, 179, 239, 311, 491, 599, 719, 1151, 1319, 1439, 1451, 1499, 1511, 1559, 1619, 1871, 1979, 2099, 2111, 2339, 2531, 2579, 2699, 2819, 2879, 2939, 2999, 3251, 3359, 3371, 3491, 3659, 3719, 3911, 4079, 4211, 4259, 4271, 4451, 4751

Offset

1,1

Comments

Discriminant=-1380. 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 {59, 71, 119, 131, 179, 239, 311, 371, 491, 599, 611, 671, 719, 731, 791, 899, 959, 1139, 1151, 1199, 1271, 1319} (mod 1380).

Mathematica

QuadPrimes2[6, -6, 59, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1380 in [59, 71, 119, 131, 179, 239, 311, 371, 491, 599, 611, 671, 719, 731, 791, 899, 959, 1139, 1151, 1199, 1271, 1319]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A162000 A080192 A126693 * A033235 A106913 A212266

Adjacent sequences: A139935 A139936 A139937 * A139939 A139940 A139941

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved