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 A290014 #12 Feb 16 2025 08:33:49
%S A290014 3,4,5,16,25
%N A290014 Values of n for which Sum_{k=1..n} k!^10 is prime.
%C A290014 Sum_{k=1..n} k!^10 is divisible by 41 for n >= 40, and checking the terms below that gives Sum_{k=1..a(5)} k!^10 with a(5) = 25 as the final prime in the sequence.
%H A290014 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/FactorialSums.html">Factorial Sums</a>
%H A290014 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/IntegerSequencePrimes.html">Integer Sequence Primes</a>
%e A290014 Sum_{k=1..3} k!^10 = 60467201 is prime.
%e A290014 Sum_{k=1..4} k!^10 = 63403441432577 is prime.
%e A290014 Sum_{k=1..5} k!^10 = 619173705643441432577 is prime.
%e A290014 ...
%Y A290014 Cf. A100289 (k!^2), A289947 (k!^6).
%K A290014 nonn,bref,full,fini
%O A290014 1,1
%A A290014 _Eric W. Weisstein_, Jul 17 2017