A139875 Primes of the form 4x^2 + 4xy + 43y^2.

43, 67, 163, 211, 331, 379, 499, 547, 571, 739, 883, 907, 1051, 1171, 1579, 1723, 1747, 2011, 2083, 2179, 2251, 2347, 2683, 2731, 2851, 3019, 3067, 3187, 3259, 3571, 3691, 3739, 3907, 3931, 4027, 4099, 4243, 4363, 4603, 5107, 5419, 5443

Offset

1,1

Comments

Discriminant = -672. 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 {43, 67, 163} (mod 168).

Mathematica

QuadPrimes2[4, -4, 43, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 168 in {43, 67, 163}]; // Vincenzo Librandi, Jul 30 2012

Crossrefs

Sequence in context: A201688 A174022 A033229 * A174812 A146355 A175730

Adjacent sequences: A139872 A139873 A139874 * A139876 A139877 A139878

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved