A139940 Primes of the form 15x^2+23y^2.

23, 83, 107, 227, 263, 383, 467, 503, 563, 743, 827, 983, 1103, 1187, 1307, 1367, 1487, 1523, 1583, 1607, 1667, 1847, 1907, 2087, 2207, 2687, 2843, 2903, 2963, 3023, 3323, 3467, 3863, 3947, 4007, 4127, 4283, 4523, 4643, 4703, 4943, 4967

Offset

1,1

Comments

Discriminant=-1380. 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 {23, 83, 107, 143, 203, 227, 263, 287, 383, 467, 503, 527, 563, 707, 743, 803, 827, 983, 1103, 1187, 1247, 1307, 1367} (mod 1380).

Mathematica

QuadPrimes2[15, 0, 23, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1380 in [23, 83, 107, 143, 203, 227, 263, 287, 383, 467, 503, 527, 563, 707, 743, 803, 827, 983, 1103, 1187, 1247, 1307, 1367]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A210706 A304592 A302729 * A052073 A213174 A256376

Adjacent sequences: A139937 A139938 A139939 * A139941 A139942 A139943

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved