A139902 Primes of the form 16x^2+16xy+19y^2.

19, 139, 211, 331, 379, 499, 571, 619, 691, 739, 811, 859, 1051, 1171, 1291, 1459, 1531, 1579, 1699, 2011, 2131, 2179, 2251, 2371, 2539, 2659, 2731, 2851, 2971, 3019, 3259, 3331, 3499, 3571, 3691, 3739, 3931, 4051, 4099, 4219, 4339, 4651

Offset

1,1

Comments

Discriminant=-960. 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, 91} (mod 120).

Mathematica

QuadPrimes2[16, -16, 19, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 120 in [19, 91]]; // Vincenzo Librandi, Jul 31 2012

Crossrefs

Sequence in context: A211092 A142746 A221226 * A140624 A244505 A235146

Adjacent sequences: A139899 A139900 A139901 * A139903 A139904 A139905

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Extensions

Corrected and extended b-file - Ray Chandler, Jul 31 2014

Status

approved