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 A309292 #10 Jul 21 2019 13:25:26
%S A309292 5,7,15,19,21,33,39,43,55,61,69,73,91,105,109,111,115,133,141,159,165,
%T A309292 181,183,195,199,201,213,231,235,241,253,259,271,273,285,295,309,313,
%U A309292 339,349,381,385,399,403,411,421,433,435,451,465,469,489,493,501,505
%N A309292 Numbers that can be written as the sum of two primes, p, q, where p < q such that q^2 - p^2 is squarefree.
%e A309292 5 is in the sequence since 5 = 2 + 3 (both prime) and since 3^2 - 2^2 = 5 is squarefree.
%e A309292 7 is in the sequence since 7 = 2 + 5 (both prime) and since 5^2 - 2^2 = 21 is squarefree.
%t A309292 Flatten[Table[If[Sum[(PrimePi[i] - PrimePi[i - 1]) (PrimePi[n - i] - PrimePi[n - i - 1]) MoebiusMu[(n - i)^2 - i^2]^2, {i, Floor[(n - 1)/2]}] > 0, n, {}], {n, 500}]]
%Y A309292 Cf. A309277.
%K A309292 nonn
%O A309292 1,1
%A A309292 _Wesley Ivan Hurt_, Jul 21 2019