A139909 Primes of the form 6x^2+6xy+47y^2.

47, 59, 83, 167, 227, 383, 479, 587, 839, 983, 1151, 1259, 1307, 1319, 1487, 1571, 1931, 2099, 2243, 2267, 2351, 2399, 2411, 2579, 2663, 2819, 3023, 3083, 3167, 3191, 3323, 3359, 3491, 3659, 3671, 3863, 3911, 3947, 4259, 4283, 4451, 4583

Offset

1,1

Comments

Discriminant=-1092. 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 {47, 59, 83, 167, 215, 227, 383, 395, 479, 551, 587, 635, 671, 839, 899, 983, 1007, 1055} (mod 1092).

Mathematica

QuadPrimes2[6, -6, 47, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(5000) | p mod 1092 in {47, 59, 83, 167, 215, 227, 383, 395, 479, 551, 587, 635, 671, 839, 899, 983, 1007, 1055}]; // Vincenzo Librandi, Jul 31 2012

Crossrefs

Sequence in context: A046503 A227982 A102274 * A368077 A243430 A342093

Adjacent sequences: A139906 A139907 A139908 * A139910 A139911 A139912

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved