A139885 Primes of the form 5x^2+38y^2.

5, 43, 83, 157, 163, 197, 277, 283, 347, 397, 443, 467, 557, 587, 613, 643, 653, 733, 757, 853, 883, 947, 997, 1013, 1163, 1187, 1213, 1277, 1373, 1453, 1483, 1493, 1597, 1613, 1733, 1787, 1867, 1907, 1973, 1987, 2053, 2213, 2243, 2267, 2357

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 {5, 43, 77, 83, 93, 123, 157, 163, 187, 197, 213, 237, 253, 267, 277, 283, 347, 387, 397, 403, 427, 443, 453, 467, 517, 533, 557, 587, 613, 643, 653, 693, 707, 723, 733, 747, 757} (mod 760).

Mathematica

QuadPrimes2[5, 0, 38, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(3000) | p mod 760 in {5, 43, 77, 83, 93, 123, 157, 163, 187, 197, 213, 237, 253, 267, 277, 283, 347, 387, 397, 403, 427, 443, 453, 467, 517, 533, 557, 587, 613, 643, 653, 693, 707, 723, 733, 747, 757}]; // Vincenzo Librandi, Jul 30 2012

Crossrefs

Sequence in context: A022891 A106940 A106941 * A152866 A102851 A173554

Adjacent sequences: A139882 A139883 A139884 * A139886 A139887 A139888

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved