A139839 Primes of the form 2x^2+2xy+47y^2.

2, 47, 59, 71, 107, 131, 191, 227, 311, 359, 419, 431, 443, 467, 479, 503, 563, 599, 659, 683, 839, 887, 971, 1031, 1103, 1151, 1163, 1187, 1223, 1259, 1307, 1427, 1451, 1523, 1559, 1583, 1619, 1787, 1823, 1847, 1907, 1931, 2003, 2087, 2267

Offset

1,1

Comments

Discriminant=-372. 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 {2, 35, 47, 59, 71, 95, 107, 131, 143, 191, 227, 287, 299, 311, 335, 359} (mod 372).

Mathematica

QuadPrimes2[2, -2, 47, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(3000) | p mod 372 in {2, 35, 47, 59, 71, 95, 107, 131, 143, 191, 227, 287, 299, 311, 335, 359}]; // Vincenzo Librandi, Jul 29 2012

Crossrefs

Sequence in context: A195877 A141579 A107205 * A248862 A118104 A107211

Adjacent sequences: A139836 A139837 A139838 * A139840 A139841 A139842

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved