A139951 Primes of the form 7x^2+55y^2.

7, 83, 167, 227, 283, 307, 503, 523, 563, 607, 787, 887, 1063, 1223, 1427, 1447, 1487, 1627, 1823, 1847, 1867, 1987, 2063, 2243, 2287, 2383, 2903, 3163, 3167, 3307, 3407, 3527, 3583, 3643, 3863, 3923, 3967, 4003, 4483, 4507, 4567, 4583

Offset

1,1

Comments

Discriminant=-1540. See A139827 for more information.

Links

Ray Chandler, Table of n, a(n) for n = 1..10000

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Formula

The primes are congruent to {7, 83, 87, 167, 227, 283, 307, 327, 447, 503, 523, 563, 607, 703, 747, 783, 787, 843, 887, 923, 943, 1007, 1063, 1207, 1223, 1363, 1403, 1427, 1447, 1487, 1503} (mod 1540).

Mathematica

QuadPrimes2[7, 0, 55, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1540 in [7, 83, 87, 167, 227, 283, 307, 327, 447, 503, 523, 563, 607, 703, 747, 783, 787, 843, 887, 923, 943, 1007, 1063, 1207, 1223, 1363, 1403, 1427, 1447, 1487, 1503]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A333984 A244821 A304591 * A141872 A089342 A297716

Adjacent sequences: A139948 A139949 A139950 * A139952 A139953 A139954

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved