A140022 - OEIS

A140022

Primes of the form 15x^2+91y^2.

151, 331, 379, 499, 631, 739, 1051, 1471, 1579, 1831, 2179, 2251, 2671, 3271, 3739, 3931, 4519, 4831, 4951, 4999, 5419, 5779, 5791, 5839, 6091, 6199, 6619, 6871, 7039, 7351, 7639, 8731, 9199, 9319, 9391, 9739, 10159, 10459, 10831, 11071

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OFFSET

1,1

COMMENTS

Discriminant=-5460. 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 {151, 319, 331, 379, 499, 631, 739, 799, 1051, 1159, 1411, 1471, 1579, 1591, 1831, 1891, 2059, 2179, 2251, 2671, 2839, 3151, 3271, 3439, 3739, 3859, 3931, 4279, 4519, 4531, 4699, 4831, 4951, 4999, 5371, 5419} (mod 5460).

MATHEMATICA

QuadPrimes2[15, 0, 91, 10000] (* see A106856 *)

PROG

(Magma) [ p: p in PrimesUpTo(13000) | p mod 5460 in {151, 319, 331, 379, 499, 631, 739, 799, 1051, 1159, 1411, 1471, 1579, 1591, 1831, 1891, 2059, 2179, 2251, 2671, 2839, 3151, 3271, 3439, 3739, 3859, 3931, 4279, 4519, 4531, 4699, 4831, 4951, 4999, 5371, 5419} ]; // Vincenzo Librandi, Aug 06 2012

CROSSREFS

Sequence in context: A142903 A031893 A118494 * A211551 A108842 A078858

Adjacent sequences: A140019 A140020 A140021 * A140023 A140024 A140025

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 02 2008

STATUS

approved