A140005 Primes of the form 12x^2+12xy+113y^2.

113, 137, 257, 353, 617, 977, 1193, 1433, 1697, 2297, 2633, 2753, 2777, 2897, 3257, 3617, 3833, 4073, 4217, 4337, 4673, 4937, 5153, 5273, 5393, 5417, 5657, 5897, 6257, 6473, 6737, 6857, 6977, 7577, 7793, 8273, 8297, 8537, 9377, 9497, 9857

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 {113, 137, 257, 353, 377, 617, 713, 977, 1193, 1313} (mod 1320).

Mathematica

QuadPrimes2[12, -12, 113, 10000] (* see A106856 *)

Prog

(Magma) [p: p in PrimesUpTo(12000) | p mod 1320 in [113, 137, 257, 353, 377, 617, 713, 977, 1193, 1313]]; // Vincenzo Librandi, Aug 04 2012

Crossrefs

Sequence in context: A139645 A240584 A139988 * A198319 A124584 A074979

Adjacent sequences: A140002 A140003 A140004 * A140006 A140007 A140008

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved