A289947 Values of n for which Sum_{k=1..n} k!^6 is prime.

5, 34, 102

Offset: 1

Author

Eric W. Weisstein, Jul 16 2017

Keywords

• nonn
• bref
• full
• fini

Comments

A289946(n) is divisible by 1091 for n >= 1090, and checking the terms below that gives A289946(a(3)) = A289946(102) as the final prime in the sequence.

Examples

			A289946(5) = 2986175149697 is prime.
		

Links

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

Crossrefs

Cf. A289946 (Sum_{k=1..n} k!^6).

Cf. A100289 (k!^2), A290014 (k!^10).

Programs

PARI

isok(n) = isprime(sum(k=1, n, k!^6)); \\ Michel Marcus, Jul 17 2017