A139968 Primes of the form 14x^2+33y^2.

47, 89, 257, 311, 353, 383, 521, 647, 719, 839, 881, 929, 983, 1049, 1193, 1433, 1511, 1697, 1721, 2399, 2663, 2687, 2729, 2777, 2897, 3023, 3041, 3191, 3359, 3617, 3881, 4007, 4049, 4073, 4079, 4217, 4409, 4679, 4871, 4889, 5039, 5087

Offset

1,1

Comments

Discriminant=-1848. 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, 89, 185, 257, 311, 335, 353, 377, 383, 521, 551, 647, 713, 719, 815, 839, 881, 929, 983, 1049, 1175, 1193, 1343, 1391, 1433, 1511, 1655, 1697, 1721, 1769} (mod 1848).

Mathematica

QuadPrimes2[14, 0, 33, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1848 in [47, 89, 185, 257, 311, 335, 353, 377, 383, 521, 551, 647, 713, 719, 815, 839, 881, 929, 983, 1049, 1175, 1193, 1343, 1391, 1433, 1511, 1655, 1697, 1721, 1769]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A033232 A146031 A272879 * A132451 A217355 A004943

Adjacent sequences: A139965 A139966 A139967 * A139969 A139970 A139971

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved