A140017 Primes of the form 6x^2+6xy+229y^2.

229, 241, 349, 409, 661, 769, 1021, 1321, 1489, 1669, 1861, 2281, 2749, 3001, 3541, 4129, 4441, 5101, 5449, 5689, 5701, 5869, 6121, 6229, 6481, 6781, 6949, 6961, 7129, 7321, 7369, 7741, 7789, 8209, 8221, 8461, 9001, 9901, 10069, 10909, 11149

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 {229, 241, 349, 409, 661, 769, 1021, 1081, 1189, 1321, 1441, 1489, 1501, 1669, 1861, 1909, 2281, 2329, 2449, 2581, 2749, 2761, 3001, 3349, 3421, 3541, 3841, 4009, 4129, 4441, 4609, 5029, 5101, 5221, 5389, 5449} (mod 5460).

Mathematica

QuadPrimes2[6, -6, 229, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(12000) | p mod 5460 in {229, 241, 349, 409, 661, 769, 1021, 1081, 1189, 1321, 1441, 1489, 1501, 1669, 1861, 1909, 2281, 2329, 2449, 2581, 2749, 2761, 3001, 3349, 3421, 3541, 3841, 4009, 4129, 4441, 4609, 5029, 5101, 5221, 5389, 5449} ]; // Vincenzo Librandi, Aug 05 2012

Crossrefs

Sequence in context: A033528 A086002 A061783 * A119711 A062589 A342368

Adjacent sequences: A140014 A140015 A140016 * A140018 A140019 A140020

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved