This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A139512 #12 Jun 10 2020 10:11:14
%S A139512 229,349,409,421,661,769,829,1021,1069,1249,1381,1429,1549,1789,1801,
%T A139512 1861,2089,2161,2269,2389,3001,3061,3109,3181,3229,3469,3889,4021,
%U A139512 4129,4201,4441,4861,4909,5101,5449,5521,5869,5881,6121,6469,6481,6529,6781
%N A139512 Primes of the form x^2 + 32*x*y + y^2 for x and y nonnegative.
%C A139512 Are all terms == 1 mod 12? - _Zak Seidov_, Apr 25 2008
%C A139512 Yes: (i) all terms == 1 mod 3 because the quadratic form has terms == {0,1} mod 3 and the values ==0 mod 3 are not primes. (ii) all terms == 1 mod 4 because the quadratic form has terms == {0,1,2} mod 4 and the values = {0,2} mod 4 are not primes. By the Chinese remainder constructions for coprime 3 and 4 all prime terms are == 1 mod 12. - _R. J. Mathar_, Jun 10 2020
%H A139512 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), discriminant 1020.
%t A139512 a = {}; w = 32; 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 A139512 Cf. A139489, A007645, A068228, A007519, A033212, A033212, A107152, A107008, A033215, A107145, A139490, A139491.
%K A139512 nonn
%O A139512 1,1
%A A139512 _Artur Jasinski_, Apr 24 2008