A139836 Primes of the form 10x^2+10xy+11y^2.

11, 31, 71, 79, 131, 139, 199, 211, 311, 379, 419, 431, 439, 479, 499, 571, 619, 691, 719, 751, 811, 839, 911, 991, 1031, 1051, 1091, 1151, 1231, 1319, 1399, 1439, 1451, 1459, 1499, 1559, 1571, 1831, 1931, 1979, 1999, 2011, 2111, 2131, 2179, 2239

Offset

1,1

Comments

Discriminant=-340. 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, 31, 39, 71, 79, 91, 99, 131, 139, 159, 199, 211, 231, 279, 299, 311} (mod 340).

Mathematica

QuadPrimes2[10, -10, 11, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(3000) | p mod 340 in {11, 31, 39, 71, 79, 91, 99, 131, 139, 159, 199, 211, 231, 279, 299, 311}]; // Vincenzo Librandi, Jul 29 2012

Crossrefs

Sequence in context: A136061 A296034 A090233 * A085715 A352954 A040973

Adjacent sequences: A139833 A139834 A139835 * A139837 A139838 A139839

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Extensions

Corrected and extended b-file - Ray Chandler, Jul 29 2014

Status

approved