A139511 Primes of the form x^2 + 31x*y + y^2 for x and y nonnegative.

67, 103, 181, 199, 223, 313, 397, 463, 487, 499, 631, 643, 661, 691, 709, 883, 991, 1021, 1039, 1093, 1153, 1213, 1321, 1483, 1543, 1567, 1741, 1747, 1753, 1831, 1879, 2017, 2029, 2083, 2113, 2137, 2179, 2203, 2269, 2311, 2377, 2539, 2557, 2677, 2731

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 = 31; 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: A140541 A136077 A180521 * A142193 A141889 A289518

Adjacent sequences: A139508 A139509 A139510 * A139512 A139513 A139514

Keyword

nonn

Author

Artur Jasinski, Apr 24 2008

Status

approved