A139851 Primes of the form 4x^2+4xy+29y^2.

29, 37, 53, 109, 149, 197, 277, 317, 373, 389, 421, 541, 557, 613, 653, 701, 709, 757, 821, 877, 1061, 1093, 1117, 1213, 1229, 1373, 1381, 1429, 1453, 1493, 1549, 1597, 1621, 1709, 1733, 1789, 1877, 1901, 1933, 1997, 2053, 2069, 2213, 2221, 2237

Offset

1,1

Comments

Discriminant=-448. 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, 37, 53} (mod 56).

Mathematica

QuadPrimes2[4, -4, 29, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(3000) | p mod 56 in {29, 37, 53}]; // Vincenzo Librandi, Jul 29 2012

Crossrefs

Sequence in context: A031925 A325058 A107134 * A139895 A304688 A341174

Adjacent sequences: A139848 A139849 A139850 * A139852 A139853 A139854

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved