A139927 Primes of the form 19x^2+14xy+19y^2.

19, 67, 163, 307, 331, 379, 499, 619, 643, 691, 739, 787, 811, 1051, 1123, 1579, 1627, 1723, 1747, 1867, 1987, 2179, 2203, 2251, 2347, 2371, 2659, 2683, 2803, 2971, 3187, 3307, 3499, 3547, 3739, 3907, 3931, 4051, 4219, 4243, 4363, 4483

Offset

1,1

Comments

Discriminant=-1248. 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 {19, 67, 115, 163, 187, 307} (mod 312).

Mathematica

Union[QuadPrimes2[19, 14, 19, 10000], QuadPrimes2[19, -14, 19, 10000]] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 312 in [19, 67, 115, 163, 187, 307]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A165806 A357676 A142404 * A337197 A357365 A228670

Adjacent sequences: A139924 A139925 A139926 * A139928 A139929 A139930

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved