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 A115963 #7 Dec 30 2024 18:41:24
%S A115963 1,35,4591,1601713,2141141003,4716413174591,23198819007792583,
%T A115963 159253748925534977797,1938552948676080555065099,
%U A115963 47290471293028435532185602511,1409101231790431848106470385672201
%N A115963 Numerator of Sum_{i=1..n} 1/prime(i)^3.
%C A115963 Denominators = A115964. See also: A024451 Numerator of Sum_{i=1..n} 1/prime(i). A002110 Primorial [denominator of Numerator of Sum_{i=1..n} 1/prime(i)]. A061015 Numerator of Sum_{i=1..n} 1/prime(i)^2.
%F A115963 a(n) = Numerator of Sum_{i=1..n} 1/A000040(i)^3.
%e A115963 1/8, 35/216, 4591/27000, 1601713/9261000, 2141141003/12326391000, 4716413174591/27081081027000.
%t A115963 Accumulate[1/Prime[Range[20]]^3]//Numerator (* _Harvey P. Dale_, Dec 30 2024 *)
%Y A115963 Cf. A000040, A075986/A075987, A106830/A034386.
%K A115963 easy,frac,nonn
%O A115963 1,2
%A A115963 _Jonathan Vos Post_, Mar 14 2006