A139898 Primes of the form 4x^2+4xy+61y^2.

61, 109, 181, 229, 349, 421, 541, 661, 709, 829, 1021, 1069, 1381, 1429, 1549, 1621, 1669, 1741, 1789, 1861, 2029, 2221, 2269, 2341, 2389, 2749, 3061, 3109, 3181, 3229, 3301, 3469, 3541, 3709, 4021, 4261, 4549, 4621, 4789, 4861, 4909, 5101

Offset

1,1

Comments

Discriminant=-960. 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 {61, 109} (mod 120).

Mathematica

QuadPrimes2[4, -4, 61, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 120 in [61, 109]]; // Vincenzo Librandi, Jul 31 2012

Crossrefs

Sequence in context: A155571 A107152 A141301 * A171836 A140009 A197719

Adjacent sequences: A139895 A139896 A139897 * A139899 A139900 A139901

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved