A139945 Primes of the form 7x^2+51y^2.

7, 79, 163, 211, 379, 487, 499, 547, 571, 751, 823, 907, 991, 1051, 1303, 1423, 1663, 1723, 1831, 1999, 2011, 2179, 2251, 2647, 2683, 2731, 2851, 3019, 3067, 3259, 3271, 3343, 3607, 3847, 3907, 4111, 4159, 4243, 4363, 4447, 4519, 4663, 4783

Offset

1,1

Comments

Discriminant=-1428. 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 {7, 79, 163, 211, 235, 295, 379, 403, 415, 487, 499, 547, 571, 583, 751, 823, 907, 991, 1051, 1159, 1219, 1255, 1303, 1387, 1423} (mod 1428).

Mathematica

QuadPrimes2[7, 0, 51, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1428 in [7, 79, 163, 211, 235, 295, 379, 403, 415, 487, 499, 547, 571, 583, 751, 823, 907, 991, 1051, 1159, 1219, 1255, 1303, 1387, 1423]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A020471 A065902 A140613 * A023285 A135051 A201860

Adjacent sequences: A139942 A139943 A139944 * A139946 A139947 A139948

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved