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 A325076 #14 Apr 12 2019 08:26:03 %S A325076 61,79,211,313,373,601,757,859,919,937,1069,1093,1303,1327,1543,1621, %T A325076 1699,1777,1873,2083,2089,2161,2239,2341,2551,2707,2713,2731,2791, %U A325076 2887,3019,3331,3571,3727,3823,4057,4273,4423,4507,4657,4813,4969,4993,5209,5227 %N A325076 Prime numbers congruent to 1, 16 or 22 modulo 39 neither representable by x^2 + x*y + 10*y^2 nor by x^2 + x*y + 127*y^2. %C A325076 Brink showed that prime numbers congruent to 1, 16 or 22 modulo 39 are representable by both or neither of the quadratic forms x^2 + x*y + 10*y^2 and x^2 + x*y + 127*y^2. A325075 corresponds to those representable by both, and this sequence corresponds to those representable by neither. %H A325076 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 A325076 Rémy Sigrist, <a href="/A325076/a325076.gp.txt">PARI program for A325076</a> %H A325076 Wikipedia, <a href="https://en.wikipedia.org/wiki/Kaplansky%27s_theorem_on_quadratic_forms">Kaplansky's theorem on quadratic forms</a> %e A325076 Regarding 61: %e A325076 - 61 is a prime number, %e A325076 - 61 = 39 + 22, %e A325076 - 61 is neither representable by x^2 + x*y + 10*y^2 nor by x^2 + x*y + 127*y^2, %e A325076 - hence 61 belongs to this sequence. %o A325076 (PARI) See Links section. %Y A325076 See A325067 for similar results. %Y A325076 Cf. A325075. %K A325076 nonn %O A325076 1,1 %A A325076 _Rémy Sigrist_, Mar 28 2019