A140019 Primes of the form 10x^2+10xy+139y^2.

139, 199, 439, 859, 1039, 1231, 1291, 1459, 1531, 1699, 1951, 2131, 2239, 2539, 2551, 2791, 3331, 3559, 3631, 4339, 4651, 4759, 5431, 5659, 5851, 6691, 6991, 7159, 7411, 7591, 7699, 8011, 8839, 9091, 9439, 9931, 10111, 10531, 10891, 11059

Offset

1,1

Comments

Discriminant=-5460. 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 {139, 199, 391, 439, 451, 859, 979, 1039, 1231, 1291, 1459, 1531, 1699, 1819, 1951, 2071, 2131, 2239, 2539, 2551, 2791, 2911, 3331, 3379, 3559, 3631, 3799, 3979, 4339, 4471, 4651, 4759, 4819, 4891, 5071, 5431} (mod 5460).

Mathematica

QuadPrimes2[10, -10, 139, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(13000) | p mod 5460 in {139, 199, 391, 439, 451, 859, 979, 1039, 1231, 1291, 1459, 1531, 1699, 1819, 1951, 2071, 2131, 2239, 2539, 2551, 2791, 2911, 3331, 3379, 3559, 3631, 3799, 3979, 4339, 4471, 4651, 4759, 4819, 4891, 5071, 5431} ]; // Vincenzo Librandi, Aug 05 2012

Crossrefs

Sequence in context: A142524 A108383 A027867 * A107206 A256601 A142314

Adjacent sequences: A140016 A140017 A140018 * A140020 A140021 A140022

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved