A290014 Values of n for which Sum_{k=1..n} k!^10 is prime.

3, 4, 5, 16, 25

Offset

1,1

Comments

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.

Links

Table of n, a(n) for n=1..5.

Eric Weisstein's World of Mathematics, Factorial Sums

Eric Weisstein's World of Mathematics, Integer Sequence Primes

Example

Sum_{k=1..3} k!^10 = 60467201 is prime.
Sum_{k=1..4} k!^10 = 63403441432577 is prime.
Sum_{k=1..5} k!^10 = 619173705643441432577 is prime.
...

Crossrefs

Cf. A100289 (k!^2), A289947 (k!^6).

Sequence in context: A242787 A031199 A173027 * A298225 A278919 A173061

Adjacent sequences: A290011 A290012 A290013 * A290015 A290016 A290017

Keyword

nonn,bref,full,fini

Author

Eric W. Weisstein, Jul 17 2017

Status

approved