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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 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 April 17 22:48 EDT 2021. Contains 343071 sequences. (Running on oeis4.)