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%I #11 Jul 17 2017 16:25:21
%S 3,4,5,16,25
%N Values of n for which Sum_{k=1..n} k!^10 is prime.
%C 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 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FactorialSums.html">Factorial Sums</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/IntegerSequencePrimes.html">Integer Sequence Primes</a>
%e Sum_{k=1..3} k!^10 = 60467201 is prime.
%e Sum_{k=1..4} k!^10 = 63403441432577 is prime.
%e Sum_{k=1..5} k!^10 = 619173705643441432577 is prime.
%e ...
%Y Cf. A100289 (k!^2), A289947 (k!^6).
%K nonn,bref,full,fini
%O 1,1
%A _Eric W. Weisstein_, Jul 17 2017
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