

A180493


Numbers n such that prime(n)! is divisible by A180491(prime(n))


2



1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 29, 30, 35, 38, 39, 40, 53
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OFFSET

1,2


COMMENTS

Also numbers n such that prime(n)! is divisible by A180492(n).
Is this sequence finite?
Checked to 10000 for more terms.
Conjecture: This sequence is finite and all its terms are present. (End)


LINKS



MATHEMATICA

f[n_] := Times @@ Mod[n, Range[2, n  1]]; k = 1; lst = {}; While[k < 10001, If[ Divisible[ Prime@k!, f@Prime@k], AppendTo[lst, k]; Print@k]; k++ ]; lst (* Robert G. Wilson v, Sep 09 2010 *)


CROSSREFS



KEYWORD

hard,more,nonn


AUTHOR



STATUS

approved



