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 A325068 #17 Apr 19 2019 13:45:38 %S A325068 17,97,193,241,401,433,449,641,673,769,929,977,1009,1297,1361,1409, %T A325068 1489,1697,1873,2017,2081,2161,2417,2609,2753,2801,2897,3041,3169, %U A325068 3329,3457,3617,3697,3793,3889,4129,4241,4337,4561,4673,5009,5153,5281,5441,5521,5857 %N A325068 Prime numbers congruent to 1 modulo 16 representable neither by x^2 + 32*y^2 nor by x^2 + 64*y^2. %C A325068 Kaplansky showed that prime numbers congruent to 1 modulo 16 are representable by both or neither of the quadratic forms x^2 + 32*y^2 and x^2 + 64*y^2. A325067 corresponds to those representable by both, and this sequence corresponds to those representable by neither. %H A325068 David Brink, <a href="https://doi.org/10.1016/j.jnt.2008.04.007">Five peculiar theorems on simultaneous representation of primes by quadratic forms</a>, Journal of Number Theory 129(2) (2009), 464-468, doi:10.1016/j.jnt.2008.04.007, MR 2473893. %H A325068 Rémy Sigrist, <a href="/A325068/a325068.gp.txt">PARI program for A325068</a> %H A325068 Wikipedia, <a href="https://en.wikipedia.org/wiki/Kaplansky%27s_theorem_on_quadratic_forms">Kaplansky's theorem on quadratic forms</a> %e A325068 Regarding 17: %e A325068 - 17 is a prime number, %e A325068 - 17 = 16*1 + 1, %e A325068 - 17 is representable neither by x^2 + 32*y^2 nor by x^2 + 64*y^2, %e A325068 - hence 17 belongs to the sequence. %o A325068 (PARI) See Links section. %Y A325068 Cf. A094407, A325067. %K A325068 nonn %O A325068 1,1 %A A325068 _Rémy Sigrist_, Mar 27 2019