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A139511 Primes of the form x^2 + 31x*y + y^2 for x and y nonnegative. 1

%I #4 Jun 19 2014 15:31:25

%S 67,103,181,199,223,313,397,463,487,499,631,643,661,691,709,883,991,

%T 1021,1039,1093,1153,1213,1321,1483,1543,1567,1741,1747,1753,1831,

%U 1879,2017,2029,2083,2113,2137,2179,2203,2269,2311,2377,2539,2557,2677,2731

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

%H N. J. A. Sloane et al., <a href="https://oeis.org/wiki/Binary_Quadratic_Forms_and_OEIS">Binary Quadratic Forms and OEIS</a> (Index to related sequences, programs, references)

%t 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*)

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

%K nonn

%O 1,1

%A _Artur Jasinski_, Apr 24 2008

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Last modified August 12 01:38 EDT 2024. Contains 375082 sequences. (Running on oeis4.)