A139946 Primes of the form 14x^2+14xy+29y^2.

29, 113, 197, 233, 317, 401, 449, 617, 641, 653, 809, 821, 1061, 1229, 1289, 1493, 1877, 1901, 2069, 2081, 2153, 2213, 2237, 2417, 2657, 2969, 3089, 3257, 3329, 3389, 3581, 3593, 3677, 3917, 4001, 4253, 4349, 4397, 4481, 4517, 4733, 4817

Offset

1,1

Comments

Discriminant=-1428. 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 {29, 65, 113, 197, 233, 317, 401, 449, 473, 533, 617, 641, 653, 725, 737, 785, 809, 821, 989, 1061, 1145, 1229, 1289, 1397} (mod 1428).

Mathematica

QuadPrimes2[14, -14, 29, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1428 in [29, 65, 113, 197, 233, 317, 401, 449, 473, 533, 617, 641, 653, 725, 737, 785, 809, 821, 989, 1061, 1145, 1229, 1289, 1397]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A232849 A233118 A338023 * A093359 A158556 A272629

Adjacent sequences: A139943 A139944 A139945 * A139947 A139948 A139949

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved