A140011 Primes of the form 37x^2+14xy+37y^2.

37, 157, 397, 757, 1093, 1213, 1237, 1453, 2293, 2557, 2677, 2797, 3037, 3613, 3733, 3853, 3877, 4093, 4357, 4933, 5197, 5413, 5437, 6037, 6373, 6637, 6733, 6997, 7573, 8053, 8317, 8677, 8893, 9013, 9133, 9157, 9277, 9397, 9733, 10333

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 {37, 133, 157, 397, 493, 757, 973, 1093, 1213, 1237} (mod 1320).

Mathematica

Union[QuadPrimes2[37, 14, 37, 10000], QuadPrimes2[37, -14, 37, 10000]] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(11000) | p mod 1320 in {37, 133, 157, 397, 493, 757, 973, 1093, 1213, 1237} ]; // Vincenzo Librandi, Aug 05 2012

Crossrefs

Sequence in context: A250942 A250943 A142197 * A296156 A250842 A083389

Adjacent sequences: A140008 A140009 A140010 * A140012 A140013 A140014

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved