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 A200721 #15 Jul 18 2019 05:09:17 %S A200721 26,1133,20309,51159,3246905,28673661,5201685791 %N A200721 Product of two nonconsecutive primes p and q that divides the sum of primes between p and q, exclusively. %C A200721 Prime p is approximately q/((2*log(q)-1)*k), for k = 1, 1, 3, 307, 5041, 102378,..(quotients). %C A200721 a(8) > 2*10^10. 3235398421447 is also a term. - _Donovan Johnson_, Nov 23 2011 %e A200721 51159 = 3*17053, (5+ ... +17047)/51159 = 307. %t A200721 ss[n_] := Module[{f = Transpose[FactorInteger[n]], p, q, s}, If[f[[2]] == {1, 1}, {p, q} = PrimePi[f[[1]]]; s = Total[Table[Prime[i], {i, p + 1, q - 1}]]; s != 0 && Mod[s, n] == 0, False]]; Select[Range[2, 21000], ss] (* _T. D. Noe_, Nov 21 2011 *) %Y A200721 Cf. A055514, A055233, A086447, A086448, A001358. %K A200721 nonn %O A200721 1,1 %A A200721 _Manuel Valdivia_, Nov 21 2011 %E A200721 a(7) from _Donovan Johnson_, Nov 23 2011