A140021 Primes of the form 14x^2+14xy+101y^2.

101, 269, 521, 881, 1049, 1109, 1301, 1361, 1889, 1949, 2141, 2441, 2609, 2729, 2861, 3041, 3449, 3461, 3701, 3821, 4241, 4289, 4889, 5381, 5669, 5801, 5981, 6569, 6761, 7229, 7349, 7829, 7901, 8069, 8501, 8609, 9161, 9281, 9749, 9929

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 {101, 209, 269, 341, 521, 881, 1049, 1109, 1301, 1349, 1361, 1769, 1889, 1949, 2141, 2201, 2369, 2441, 2609, 2729, 2861, 2981, 3041, 3149, 3449, 3461, 3701, 3821, 4241, 4289, 4469, 4541, 4709, 4889, 5249, 5381} (mod 5460).

Mathematica

QuadPrimes2[14, -14, 101, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(13000) | p mod 5460 in {101, 209, 269, 341, 521, 881, 1049, 1109, 1301, 1349, 1361, 1769, 1889, 1949, 2141, 2201, 2369, 2441, 2609, 2729, 2861, 2981, 3041, 3149, 3449, 3461, 3701, 3821, 4241, 4289, 4469, 4541, 4709, 4889, 5249, 5381} ]; // Vincenzo Librandi, Aug 05 2012

Crossrefs

Sequence in context: A085610 A142530 A033241 * A139701 A195294 A142578

Adjacent sequences: A140018 A140019 A140020 * A140022 A140023 A140024

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved