A139960 Primes of the form 12x^2+12xy+37y^2.

37, 61, 109, 181, 277, 397, 541, 709, 853, 877, 997, 1093, 1117, 1213, 1621, 1669, 1693, 1741, 1933, 2029, 2221, 2341, 2437, 2557, 2749, 2917, 3037, 3253, 3301, 3373, 3541, 3709, 3733, 3853, 4261, 4357, 4549, 4597, 4621, 4789, 4933, 4957

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 {37, 61, 109, 133, 181, 277, 301, 397} (mod 408).

Mathematica

QuadPrimes2[12, -12, 37, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(5000) | p mod 408 in [37, 61, 109, 133, 181, 277, 301, 397]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A357955 A168006 A354156 * A103946 A107142 A158018

Adjacent sequences: A139957 A139958 A139959 * A139961 A139962 A139963

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved