

A289947


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


3




OFFSET

1,1


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.


LINKS

Table of n, a(n) for n=1..3.
Eric Weisstein's World of Mathematics, Factorial Sums
Eric Weisstein's World of Mathematics, Integer Sequence Primes


EXAMPLE

A289946(5) = 2986175149697 is prime.


PROG

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


CROSSREFS

Cf. A289946 (Sum_{k=1..n} k!^6).
Cf. A100289 (k!^2), A290014 (k!^10).
Sequence in context: A223137 A068560 A039773 * A272955 A317297 A135973
Adjacent sequences: A289944 A289945 A289946 * A289948 A289949 A289950


KEYWORD

nonn,bref,full,fini


AUTHOR

Eric W. Weisstein, Jul 16 2017


STATUS

approved



