A139930 Primes of the form 5x^2+66y^2.

5, 71, 191, 269, 311, 389, 509, 599, 719, 839, 911, 1061, 1109, 1181, 1301, 1439, 1511, 1709, 1871, 1901, 2039, 2069, 2381, 2399, 2621, 2711, 2861, 2909, 3191, 3221, 3359, 3389, 3701, 3719, 3821, 4079, 4229, 4271, 4349, 4679, 4799, 4871

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 {5, 71, 119, 191, 221, 269, 311, 389, 509, 551, 581, 599, 719, 749, 839, 911, 1061, 1079, 1109, 1181, 1301} (mod 1320).

Mathematica

QuadPrimes2[5, 0, 66, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1320 in [5, 71, 119, 191, 221, 269, 311, 389, 509, 551, 581, 599, 719, 749, 839, 911, 1061, 1079, 1109, 1181, 1301]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A102976 A141852 A142052 * A265030 A295332 A123077

Adjacent sequences: A139927 A139928 A139929 * A139931 A139932 A139933

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved