A140016 Primes of the form 5x^2+273y^2.

5, 293, 353, 593, 773, 1097, 1217, 1553, 1697, 2273, 2477, 2693, 2777, 2897, 2957, 4217, 4373, 4457, 4493, 4877, 4973, 5297, 5393, 5813, 5897, 6053, 6173, 7013, 7577, 7937, 8237, 8273, 8573, 9173, 9497, 9677, 9833, 10337, 10433, 10457, 10853

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 {5, 293, 353, 437, 593, 713, 773, 1097, 1133, 1217, 1553, 1697, 1853, 2033, 2117, 2273, 2477, 2537, 2693, 2777, 2813, 2897, 2957, 3113, 3317, 3713, 3737, 4037, 4217, 4373, 4457, 4493, 4877, 4973, 4997, 5297, 5393} (mod 5460).

Mathematica

QuadPrimes2[5, 0, 273, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(12000) | p mod 5460 in {5, 293, 353, 437, 593, 713, 773, 1097, 1133, 1217, 1553, 1697, 1853, 2033, 2117, 2273, 2477, 2537, 2693, 2777, 2813, 2897, 2957, 3113, 3317, 3713, 3737, 4037, 4217, 4373, 4457, 4493, 4877, 4973, 4997, 5297, 5393} ]; // Vincenzo Librandi, Aug 05 2012

Crossrefs

Sequence in context: A227579 A257045 A256422 * A282967 A291333 A195914

Adjacent sequences: A140013 A140014 A140015 * A140017 A140018 A140019

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved