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 A122136 #4 Jan 02 2024 14:13:46
%S A122136 2,13,19,29,104,29,111,79,778,47,73,163,1068,359,5233,885,142,20477,
%T A122136 219,811,2524,13859,2203,56387,10966,75997,3331,6537,54968,1,23139,
%U A122136 4457,87382,681,15449,239087,108,58061,159097,116041,1882,995,74901,7487
%N A122136 Numerator of Sum[ Prime[k]^2, {k,1,n}] / Product[ Prime[k], {k,1,n}] = Numerator[ A024450[n] / A002110[n] ].
%C A122136 a(n) = 1 for n = {30,123,195,214,248,300,304,335,343,350,364,367,414,443,543,570,579,584,590,612,671,691,...} = A122137. a(n) is prime for n = {1,2,3,4,6,8,10,11,12,14,15,18,20,22,23,26,27,32,36,...} = A122138. Prime a(n) are listed in A122139 = {2,13,19,29,29,79,47,73,163,359,5233,20477,811,13859,2203,75997,3331,...}.
%F A122136 a(n) = Numerator[ Sum[ Prime[k]^2, {k,1,n}] / Product[ Prime[k], {k,1,n}] ].
%t A122136 Table[Numerator[Sum[Prime[k]^2,{k,1,n}]/Product[Prime[k],{k,1,n}]],{n,1,100}]
%Y A122136 Cf. A122137, A122138, A122139.
%K A122136 frac,nonn
%O A122136 1,1
%A A122136 _Alexander Adamchuk_, Aug 21 2006