A139979 Primes of the form 8x^2+95y^2.

103, 127, 167, 223, 383, 487, 607, 743, 863, 887, 983, 1063, 1367, 1447, 1663, 1823, 2143, 2207, 2383, 2423, 2447, 2503, 2663, 2687, 2767, 2887, 2903, 3023, 3167, 3343, 3527, 3623, 3727, 3943, 3967, 4327, 4423, 4663, 4703, 4783, 4943, 4967

Offset

1,1

Comments

Discriminant=-3040. 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 {103, 127, 143, 167, 183, 223, 287, 303, 383, 407, 447, 487, 527, 583, 607, 623, 687, 743, 863, 887, 903, 927, 943, 983, 1047, 1063, 1143, 1167, 1207, 1247, 1287, 1343, 1367, 1383, 1447, 1503, 1623, 1647, 1663, 1687, 1703, 1743, 1807, 1823, 1903, 1927, 1967, 2007, 2047, 2103, 2127, 2143, 2207, 2263, 2383, 2407, 2423, 2447, 2463, 2503, 2567, 2583, 2663, 2687, 2727, 2767, 2807, 2863, 2887, 2903, 2967, 3023} (mod 3040).

Mathematica

QuadPrimes2[8, 0, 95, 10000] (* see A106856 *)

Prog

(Magma) [p: p in PrimesUpTo(6000) | p mod 3040 in [103, 127, 143, 167, 183, 223, 287, 303, 383, 407, 447, 487, 527, 583, 607, 623, 687, 743, 863, 887, 903, 927, 943, 983, 1047, 1063, 1143, 1167, 1207, 1247, 1287, 1343, 1367, 1383, 1447, 1503, 1623, 1647, 1663, 1687, 1703, 1743, 1807, 1823, 1903, 1927, 1967, 2007, 2047, 2103, 2127, 2143, 2207, 2263, 2383, 2407, 2423, 2447, 2463, 2503, 2567, 2583, 2663, 2687, 2727, 2767, 2807, 2863, 2887, 2903, 2967, 3023]]; // Vincenzo Librandi, Aug 03 2012

Crossrefs

Sequence in context: A139643 A139957 A077404 * A146357 A252269 A252262

Adjacent sequences: A139976 A139977 A139978 * A139980 A139981 A139982

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved