A139997 Primes of the form 29x^2+2xy+29y^2.

29, 149, 389, 701, 821, 1061, 1229, 1709, 1901, 2069, 2381, 2549, 2741, 2909, 3221, 3389, 3581, 4229, 4349, 4421, 5021, 5189, 5261, 5741, 5861, 6029, 6101, 6269, 6581, 6701, 6869, 7109, 7541, 7589, 7949, 8429, 9221, 9461, 9629, 9941, 10061

Offset

1,1

Comments

Discriminant=-3360. 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, 149, 221, 389, 701, 821} (mod 840).

Mathematica

Union[QuadPrimes2[29, 2, 29, 10000], QuadPrimes2[29, -2, 29, 10000]] (* see A106856 *)

Prog

(Magma) [p: p in PrimesUpTo(12000) | p mod 840 in [29, 149, 221, 389, 701, 821]]; // Vincenzo Librandi, Aug 03 2012

Crossrefs

Sequence in context: A042644 A263126 A221981 * A103565 A098117 A101096

Adjacent sequences: A139994 A139995 A139996 * A139998 A139999 A140000

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved