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 A325081 #13 Apr 12 2019 18:53:47 %S A325081 59,199,229,269,379,389,499,509,839,929,1049,1279,1409,1439,1499,1609, %T A325081 1699,2029,2069,2269,2399,2699,2729,2819,3019,3089,3469,3529,3719, %U A325081 4049,4079,4129,4139,4339,4519,4679,4789,4889,4999,5119,5399,5479,5669,6029,6229 %N A325081 Prime numbers congruent to 4, 9, 14, 34 or 49 modulo 55 representable by x^2 + x*y + 14*y^2. %C A325081 Brink showed that prime numbers congruent to 4, 9, 14, 34 or 49 modulo 55 are representable by exactly one of the quadratic forms x^2 + x*y + 14*y^2 or x^2 + x*y + 69*y^2. This sequence corresponds to those representable by the first form, and A325082 corresponds to those representable by the second form. %H A325081 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 A325081 Rémy Sigrist, <a href="/A325081/a325081.gp.txt">PARI program for A325081</a> %H A325081 Wikipedia, <a href="https://en.wikipedia.org/wiki/Kaplansky%27s_theorem_on_quadratic_forms">Kaplansky's theorem on quadratic forms</a> %e A325081 Regarding 4999: %e A325081 - 4999 is a prime number, %e A325081 - 4999 = 90*55 + 49, %e A325081 - 4999 = 41^2 + 41*14 + 14*14^2, %e A325081 - hence 4999 belongs to this sequence. %o A325081 (PARI) See Links section. %Y A325081 See A325067 for similar results. %Y A325081 Cf. A325082. %K A325081 nonn %O A325081 1,1 %A A325081 _Rémy Sigrist_, Mar 28 2019