A140004 Primes of the form 11x^2+120y^2.

11, 131, 491, 659, 1019, 1091, 1451, 1619, 1811, 1931, 1979, 2339, 2411, 2459, 2939, 3011, 3251, 3299, 3539, 3659, 3779, 4091, 4259, 4451, 5051, 5099, 5651, 5939, 6299, 6899, 6971, 7211, 7499, 7691, 8219, 8291, 8819, 9011, 9059, 9371

Offset

1,1

Comments

Discriminant = -5280. 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

Except for 11, the primes are congruent to {131, 299, 371, 491, 611, 659, 899, 1019, 1091, 1139} (mod 1320).

Mathematica

QuadPrimes2[11, 0, 120, 10000] (* see A106856 *)

Prog

(Magma) [11] cat [p: p in PrimesUpTo(12000) | p mod 1320 in [131, 299, 371, 491, 611, 659, 899, 1019, 1091, 1139]]; // Vincenzo Librandi, Aug 04 2012

Crossrefs

Sequence in context: A142187 A201484 A216573 * A100758 A083763 A185127

Adjacent sequences: A140001 A140002 A140003 * A140005 A140006 A140007

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved