A140001 Primes of the form 5x^2+264y^2.

5, 269, 389, 509, 1061, 1109, 1181, 1301, 1709, 1901, 2069, 2381, 2621, 2861, 2909, 3221, 3389, 3701, 3821, 4229, 4349, 5021, 5261, 5501, 5669, 5861, 6029, 6389, 6581, 6869, 7109, 7349, 7901, 8429, 8501, 8669, 9029, 9221, 9461, 9629, 9749

Offset

1,1

Comments

Discriminant=-5280. 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

Except for 5, the primes are congruent to {221, 269, 389, 509, 581, 749, 1061, 1109, 1181, 1301} (mod 1320).

Mathematica

QuadPrimes2[5, 0, 264, 10000] (* see A106856 *)

Prog

(Magma) [5] cat [p: p in PrimesUpTo(12000) | p mod 1320 in [221, 269, 389, 509, 581, 749, 1061, 1109, 1181, 1301]]; // Vincenzo Librandi, Aug 03 2012

Crossrefs

Sequence in context: A238799 A113257 A180820 * A329610 A283518 A153322

Adjacent sequences: A139998 A139999 A140000 * A140002 A140003 A140004

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved