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 A309305 #7 Apr 20 2020 19:04:57
%S A309305 5,10,13,18,22,30,42,46,50,58,70,78,82,85,90,98,102,106,110,114,122,
%T A309305 126,130,138,142,150,154,158,162,170,174,178,182,190,198,202,210,218,
%U A309305 222,229,234,238,242,246,250,258,262,270,278,282,290,294,298,302,310
%N A309305 Sums of two primes whose difference is a nonzero square.
%e A309305 5 is in the sequence since 5 = 2 + 3 (both prime) and 3 - 2 = 1 is a nonzero square.
%e A309305 10 is in the sequence since 10 = 3 + 7 (both prime) and 7 - 3 = 4 is a nonzero square.
%e A309305 13 is in the sequence since 13 = 2 + 11 (both prime) and 11 - 2 = 9 is a nonzero square.
%e A309305 18 is in the sequence since 7 + 11 (both prime) and 11 - 7 = 4 is a nonzero square.
%t A309305 Flatten[Table[If[Sum[(PrimePi[i] - PrimePi[i - 1]) (PrimePi[n - i] - PrimePi[n - i - 1]) (Floor[Sqrt[n - 2 i]] - Floor[Sqrt[n - 2 i - 1]]), {i, Floor[(n - 1)/2]}] > 0, n, {}], {n, 300}]]
%Y A309305 Cf. A000040, A000290, A309152.
%K A309305 nonn
%O A309305 1,1
%A A309305 _Wesley Ivan Hurt_, Jul 21 2019