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

3, 4, 5, 16, 25

Offset: 1

Author

Eric W. Weisstein, Jul 17 2017

Keywords

• nonn
• bref
• full
• fini

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.

Examples

			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.
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Links

• Eric Weisstein's World of Mathematics, Factorial Sums
• Eric Weisstein's World of Mathematics, Integer Sequence Primes

Crossrefs

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