A139870 Primes of the form 6x^2 + 6xy + 29y^2.

29, 41, 101, 149, 281, 461, 569, 701, 761, 809, 821, 941, 1229, 1289, 1361, 1481, 1601, 1889, 1949, 2081, 2129, 2141, 2309, 2441, 2549, 2609, 2741, 2789, 2801, 2969, 3209, 3329, 3449, 3461, 3581, 3761, 3929, 3989, 4001, 4241, 4289, 4421

Offset

1,1

Comments

Discriminant = -660. 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, 41, 101, 149, 161, 281, 329, 461, 569, 629} (mod 660).

Mathematica

QuadPrimes2[6, -6, 29, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 660 in {29, 41, 101, 149, 161, 281, 329, 461, 569, 629}]; // Vincenzo Librandi, Jul 30 2012

Crossrefs

Sequence in context: A104072 A357175 A070268 * A173874 A308795 A106075

Adjacent sequences: A139867 A139868 A139869 * A139871 A139872 A139873

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved