A139646 Primes of the form x^2 + 130*y^2.

131, 139, 179, 211, 251, 419, 491, 521, 569, 571, 601, 641, 659, 809, 859, 881, 971, 1049, 1091, 1171, 1249, 1291, 1361, 1459, 1481, 1499, 1531, 1609, 1699, 1811, 1889, 1979, 2011, 2081, 2089, 2129, 2131, 2161, 2339, 2441, 2521, 2531, 2539

Offset: 1

Author

T. D. Noe, Apr 29 2008

Keywords

• nonn
• easy

Comments

Discriminant=-520. See A139643 for more information.

The primes are congruent to {1, 9, 49, 51, 81, 121, 129, 131, 139, 179, 209, 211, 251, 259, 289, 321, 329, 339, 361, 419, 441, 451, 459, 491} (mod 520).

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)

Programs

Magma

[ p: p in PrimesUpTo(3000) | p mod 520 in {1, 9, 49, 51, 81, 121, 129, 131, 139, 179, 209, 211, 251, 259, 289, 321, 329, 339, 361, 419, 441, 451, 459, 491}]; // Vincenzo Librandi, Jul 28 2012

Magma

k:=130; [p: p in PrimesUpTo(3000) | NormEquation(k, p) eq true]; // Bruno Berselli, Jun 01 2016

Mathematica

QuadPrimes2[1, 0, 130, 10000] (* see A106856 *)