A139884 Primes of the form 2x^2+95y^2.

2, 97, 103, 113, 127, 167, 193, 223, 257, 337, 383, 433, 487, 607, 673, 743, 857, 863, 887, 953, 977, 983, 1063, 1097, 1153, 1193, 1367, 1433, 1447, 1553, 1663, 1777, 1823, 1913, 2017, 2143, 2207, 2273, 2377, 2383, 2393, 2423, 2447, 2473, 2503

Offset

1,1

Comments

Discriminant=-760. 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 {2, 33, 97, 103, 113, 127, 143, 167, 183, 193, 217, 223, 257, 287, 297, 303, 337, 383, 393, 407, 417, 433, 447, 487, 497, 527, 553, 583, 607, 623, 673, 687, 697, 713, 737, 743, 753} (mod 760).

Mathematica

QuadPrimes2[2, 0, 95, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(3000) | p mod 760 in {2, 33, 97, 103, 113, 127, 143, 167, 183, 193, 217, 223, 257, 287, 297, 303, 337, 383, 393, 407, 417, 433, 447, 487, 497, 527, 553, 583, 607, 623, 673, 687, 697, 713, 737, 743, 753}]; // Vincenzo Librandi, Jul 30 2012

Crossrefs

Sequence in context: A224986 A164335 A132206 * A297423 A189313 A042151

Adjacent sequences: A139881 A139882 A139883 * A139885 A139886 A139887

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved