A140034 Primes of the form 11x^2+168y^2.

11, 179, 443, 683, 947, 1499, 1523, 1787, 2003, 2027, 2531, 2699, 2843, 2963, 3347, 3371, 3851, 4019, 4139, 4211, 4547, 4643, 4691, 5483, 5531, 5867, 5987, 6323, 6491, 6659, 7043, 7331, 7547, 7907, 8171, 8243, 8387, 9227, 9419, 9923, 10091

Offset

1,1

Comments

Discriminant=-7392. 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

Except for 11, the primes are congruent to {155, 179, 323, 443, 515, 683, 779, 851, 947, 995, 1115, 1499, 1523, 1787, 1835} (mod 1848).

Mathematica

QuadPrimes2[11, 0, 168, 10000] (* see A106856 *)

Prog

(Magma) [11] cat [ p: p in PrimesUpTo(12000) | p mod 1848 in {155, 179, 323, 443, 515, 683, 779, 851, 947, 995, 1115, 1499, 1523, 1787, 1835} ]; // Vincenzo Librandi, Aug 06 2012

Crossrefs

Sequence in context: A051687 A231916 A101791 * A363024 A162715 A131638

Adjacent sequences: A140031 A140032 A140033 * A140035 A140036 A140037

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved