A139651 Primes of the form x^2 + 210*y^2.

211, 331, 379, 499, 571, 739, 1009, 1051, 1129, 1171, 1201, 1579, 1801, 2011, 2179, 2251, 2521, 2689, 2731, 2851, 3019, 3049, 3259, 3361, 3529, 3571, 3691, 3739, 3889, 3931, 4099, 4201, 4561, 4729, 5209, 5419, 5569, 5779, 5881, 6091, 6211

Offset

1,1

Comments

Discriminant=-840. See A139643 for more information.

The primes are congruent to {1, 121, 169, 211, 289, 331, 361, 379, 499, 529, 571, 739} (mod 840).

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)

Mathematica

QuadPrimes2[1, 0, 210, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(7000) | p mod 840 in {1, 121, 169, 211, 289, 331, 361, 379, 499, 529, 571, 739}]; // Vincenzo Librandi, Jul 28 2012
(Magma) k:=210; [p: p in PrimesUpTo(7000) | NormEquation(k, p) eq true]; // Bruno Berselli, Jun 01 2016

Crossrefs

Sequence in context: A137870 A137871 A142582 * A139985 A293605 A132248

Adjacent sequences: A139648 A139649 A139650 * A139652 A139653 A139654

Keyword

nonn,easy

Author

T. D. Noe, Apr 29 2008

Status

approved