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 A110996 #30 Aug 10 2023 03:32:48
%S A110996 1,441,970225,1464100,194379364,1303400915339554201
%N A110996 Powers equal to (sum of first k primes) plus 1, for some k >= 0.
%C A110996 I have checked for powers out to the 250000th prime and the last element found is at the 6420th prime, 64067. It is interesting to note that the only powers so far are squares. Finding a higher power would be interesting.
%e A110996 1 is a term (corresponding to k=0), since it is the empty sum plus 1. - _N. J. A. Sloane_, Dec 02 2015
%e A110996 441 is a term since sum(primes<=59) = 440 and 441 = 21^2.
%p A110996 with(numtheory); egcd := proc(n) local L; L:=map(proc(z) z[2] end, ifactors(n)[2]); igcd(op(L)) end: s := proc(n) option remember; local p; if n=1 then [1,2] else [n,s(n-1)[2]+ithprime(n)] fi end; t := proc(n) option remember; [n,s(n)[2]+1] fi end; PW:=[]; for z to 1 do for j from 1 to 250000 do if egcd(t(j)[2])>1 then PW:=[op(PW),t(j)] fi od od; PW;
%o A110996 (PARI) lista(nn) = { print1(1, ", "); s = 1; for(k=1, nn, s += prime(k); if(ispower(s) || s==1, print1(s, ", ")););} \\ _Altug Alkan_, Nov 29 2015
%Y A110996 Cf. A007504, A110979, A110997, A264858.
%Y A110996 Intersection of A001597 and A014284.
%K A110996 nonn,more
%O A110996 1,2
%A A110996 _Walter Kehowski_, Sep 30 2005
%E A110996 New term 1 prepended by _Altug Alkan_, Nov 29 2015
%E A110996 a(6) from _Jinyuan Wang_, Aug 09 2023