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%I #13 May 02 2024 19:04:39
%S 193,337,457,673,1009,1033,1129,1201,1297,1801,1873,2017,2137,2377,
%T 2473,2521,2689,2713,2857,3049,3217,3313,3361,3529,3697,3889,4057,
%U 4153,4201,4561,4657,4729,4993,5209,5233,5569,5737,5881,6073,6217,6337,6553,6577
%N Primes of the form x^2 + 26x*y + y^2 for x and y nonnegative.
%C Also primes of the form x^2 + 168y^2. - _T. D. Noe_, Apr 29 2008
%C In base 12, the sequence is 141, 241, 321, 481, 701, 721, 7X1, 841, 901, 1061, 1101, 1201, 12X1, 1461, 1521, 1561, 1681, 16X1, 17X1, 1921, 1X41, 1E01, 1E41, 2061, 2181, 2301, 2421, 24X1, 2521, 2781, 2841, 28X1, 2X81, 3021, 3041, 3281, 33X1, 34X1, 3621, 3721, 3801, 3961, 3981, where X is 10 and E is 11. Moreover, the discriminant is 480. - _Walter Kehowski_, Jun 01 2008
%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)
%F The primes are congruent to {1, 25, 121} (mod 168). - _T. D. Noe_, Apr 29 2008
%t a = {}; w = 26; 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]
%Y Cf. A139489, A007645, A068228, A007519, A033212, A107152, A107008, A033215, A107145, A139490, A139491.
%Y Cf. A139643.
%K nonn,changed
%O 1,1
%A _Artur Jasinski_, Apr 24 2008
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