A139834 Primes of the form 6x^2+6xy+11y^2.

11, 23, 47, 83, 131, 191, 239, 251, 263, 311, 347, 359, 419, 443, 467, 479, 491, 503, 587, 647, 719, 947, 1031, 1103, 1151, 1163, 1187, 1223, 1259, 1451, 1487, 1499, 1559, 1583, 1607, 1619, 1787, 1811, 1847, 1871, 1907, 2039, 2063, 2087, 2099

Offset

1,1

Comments

Discriminant=-228. 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 {11, 23, 35, 47, 83, 119, 131, 191, 215} (mod 228).

Mathematica

QuadPrimes2[6, -6, 11, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(3000) | p mod 228 in {11, 23, 35, 47, 83, 119, 131, 191, 215}]; // Vincenzo Librandi, Jul 29 2012

Crossrefs

Sequence in context: A309851 A145994 A217047 * A100558 A126199 A096342

Adjacent sequences: A139831 A139832 A139833 * A139835 A139836 A139837

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved