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 A094661 #12 Dec 28 2023 19:21:38
%S A094661 3,19,137,1289,16909,259087,4975049,106267661,2725447213,85953848147,
%T A094661 2903947942067,115669053951809,5061522951820999,231945249314081827,
%U A094661 11594813068340357459,650803589794759938517,40385350464999429101033
%N A094661 Numerator of the sum of the ratios of consecutive primes.
%F A094661 a(n) = numerator(Sum_{k=1..n} prime(k+1)/prime(k)).
%t A094661 s=0;lst={};Do[p=Prime[n];r=Prime[n+1];AppendTo[lst,Numerator[s+=r/p]],{n,3*4!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Oct 24 2009 *)
%o A094661 (PARI) consec(n) = { y=0; forprime(x=2,n, y+=nextprime(x+1)/x; z=numerator(y); print1(z",") ) }
%Y A094661 Cf. A000040.
%K A094661 nonn,frac
%O A094661 2,1
%A A094661 _Cino Hilliard_, Jun 06 2004