A139496 Primes of the form x^2 + 13x*y + y^2 for x and y nonnegative.

31, 181, 199, 229, 331, 379, 421, 499, 619, 631, 661, 691, 709, 751, 829, 859, 991, 1021, 1039, 1171, 1279, 1291, 1321, 1489, 1549, 1609, 1621, 1699, 1741, 1831, 1879, 1951, 2011, 2029, 2161, 2179, 2269, 2281, 2311, 2341, 2539, 2671, 2689, 2731, 2971

Offset

1,1

Links

Table of n, a(n) for n=1..45.

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Mathematica

a = {}; w = 13; k = 1; Do[Do[If[PrimeQ[n^2 + w*n*m + k*m^2], AppendTo[a, n^2 + w*n*m + k*m^2]], {n, m, 400}], {m, 1, 400}]; Union[a] (*Artur Jasinski*)

Crossrefs

Cf. A139489, A007645, A068228, A007519, A033212, A033212, A107152, A107008, A033215, A107145, A139490, A139491.

Sequence in context: A142140 A331759 A325080 * A145838 A373524 A373519

Adjacent sequences: A139493 A139494 A139495 * A139497 A139498 A139499

Keyword

nonn

Author

Artur Jasinski, Apr 24 2008

Status

approved