A140030 Primes of the form 4x^2+4xy+463y^2.

463, 487, 631, 751, 823, 991, 1087, 1303, 1423, 1831, 2143, 2311, 2671, 3271, 3943, 4159, 4327, 4447, 4519, 4783, 4951, 4999, 5119, 5503, 5527, 5791, 5839, 6007, 6367, 6703, 6967, 7351, 7639, 7687, 7879, 8647, 9199, 9871, 10399, 10663, 11047

Offset

1,1

Comments

Discriminant=-7392. 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 {247, 295, 463, 487, 631, 751, 823, 991, 1087, 1159, 1255, 1303, 1423, 1807, 1831} (mod 1848).

Mathematica

QuadPrimes2[4, -4, 463, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(12000) | p mod 1848 in {247, 295, 463, 487, 631, 751, 823, 991, 1087, 1159, 1255, 1303, 1423, 1807, 1831} ]; // Vincenzo Librandi, Aug 06 2012

Crossrefs

Sequence in context: A102997 A252251 A139662 * A020371 A234842 A116323

Adjacent sequences: A140027 A140028 A140029 * A140031 A140032 A140033

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved