A139985 Primes of the form 4x^2+4xy+211y^2.

211, 331, 379, 499, 571, 739, 1051, 1171, 1579, 2011, 2179, 2251, 2731, 2851, 3019, 3259, 3571, 3691, 3739, 3931, 4099, 5419, 5779, 6091, 6211, 6379, 6451, 6619, 7219, 7459, 8059, 8731, 8779, 8971, 9619, 9739, 9811, 10459, 10651, 11131, 11251

Offset

1,1

Comments

Discriminant=-3360. 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 {211, 331, 379, 499, 571, 739} (mod 840).

Mathematica

QuadPrimes2[4, -4, 211, 10000] (* see A106856 *)

Prog

(Magma) [p: p in PrimesUpTo(12000) | p mod 840 in [211, 331, 379, 499, 571, 739]]; // Vincenzo Librandi, Aug 03 2012

Crossrefs

Sequence in context: A137871 A142582 A139651 * A293605 A132248 A142901

Adjacent sequences: A139982 A139983 A139984 * A139986 A139987 A139988

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved