A139959 Primes of the form 8x^2+8xy+53y^2.

53, 101, 149, 293, 389, 461, 509, 557, 701, 773, 797, 1109, 1181, 1277, 1301, 1373, 1613, 1709, 1733, 1973, 1997, 2141, 2333, 2381, 2549, 2741, 2789, 2837, 2909, 2957, 3221, 3413, 3557, 3821, 4013, 4133, 4157, 4229, 4373, 4421, 4637, 4877

Offset

1,1

Comments

Discriminant=-1632. 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 {53, 77, 101, 149, 293, 341, 365, 389} (mod 408).

Mathematica

QuadPrimes2[8, -8, 53, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(5000) | p mod 408 in [53, 77, 101, 149, 293, 341, 365, 389]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A238678 A142296 A180520 * A044142 A044523 A063363

Adjacent sequences: A139956 A139957 A139958 * A139960 A139961 A139962

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved