A139853 Primes of the form 11x^2+6xy+11y^2.

11, 43, 67, 107, 163, 179, 211, 331, 347, 379, 443, 491, 499, 547, 571, 659, 683, 739, 827, 883, 907, 947, 1019, 1051, 1163, 1171, 1187, 1283, 1451, 1499, 1523, 1579, 1619, 1667, 1723, 1747, 1787, 2003, 2011, 2027, 2083, 2179, 2251, 2339, 2347

Offset: 1

Author

T. D. Noe, May 02 2008

Keywords

• nonn
• easy

Comments

Discriminant=-448. 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)

Programs

Magma

[ p: p in PrimesUpTo(3000) | p mod 56 in {11, 43, 51}]; // Vincenzao Librandi, Jul 29 2012

Mathematica

Union[QuadPrimes2[11, 6, 11, 10000], QuadPrimes2[11, -6, 11, 10000]] (* see A106856 *)

Formula

The primes are congruent to {11, 43, 51} (mod 56).