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A289947 Values of n for which Sum_{k=1..n} k!^6 is prime. 3
5, 34, 102 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 22 09:15 EST 2020. Contains 332133 sequences. (Running on oeis4.)