A139933 Primes of the form 11x^2+30y^2.

11, 41, 131, 281, 491, 569, 659, 761, 809, 1019, 1091, 1289, 1361, 1451, 1481, 1601, 1619, 1811, 1889, 1931, 1979, 2081, 2129, 2339, 2411, 2441, 2459, 2609, 2801, 2939, 2969, 3011, 3209, 3251, 3299, 3329, 3449, 3539, 3659, 3761, 3779, 3929

Offset

1,1

Comments

Discriminant=-1320. 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 {11, 41, 131, 161, 281, 299, 329, 371, 491, 569, 611, 659, 689, 761, 809, 899, 1019, 1091, 1121, 1139, 1289} (mod 1320).

Mathematica

QuadPrimes2[11, 0, 30, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1320 in [11, 41, 131, 161, 281, 299, 329, 371, 491, 569, 611, 659, 689, 761, 809, 899, 1019, 1091, 1121, 1139, 1289]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A356125 A334545 A268930 * A243892 A288795 A213659

Adjacent sequences: A139930 A139931 A139932 * A139934 A139935 A139936

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved