A139908 Primes of the form 3x^2+91y^2.

3, 103, 139, 199, 283, 367, 439, 523, 607, 727, 859, 1039, 1063, 1231, 1291, 1447, 1459, 1483, 1531, 1543, 1699, 1951, 2131, 2239, 2287, 2383, 2467, 2539, 2551, 2707, 2791, 2887, 3163, 3331, 3559, 3631, 3643, 3727, 4003, 4339, 4423, 4507

Offset

1,1

Comments

Discriminant=-1092. 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 {3, 55, 103, 139, 199, 283, 355, 367, 391, 439, 451, 523, 607, 703, 727, 859, 979, 1039, 1063} (mod 1092).

Mathematica

QuadPrimes2[3, 0, 91, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(5000) | p mod 1092 in {3, 55, 103, 139, 199, 283, 355, 367, 391, 439, 451, 523, 607, 703, 727, 859, 979, 1039, 1063}]; // Vincenzo Librandi, Jul 31 2012

Crossrefs

Sequence in context: A157566 A364418 A157600 * A128070 A323036 A101780

Adjacent sequences: A139905 A139906 A139907 * A139909 A139910 A139911

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved