A180493 Numbers n such that prime(n)! is divisible by A180491(prime(n))

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

Offset

1,2

Comments

Also numbers n such that prime(n)! is divisible by A180492(n).

Is this sequence finite?

From Robert G. Wilson v, Sep 09 2010: (Start)

Checked to 10000 for more terms.

Conjecture: This sequence is finite and all its terms are present. (End)

Links

Table of n, a(n) for n=1..33.

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

Cf. A034386, A000142, A004125, A180491, A180492.

Sequence in context: A338265 A110303 A347520 * A346132 A320249 A309066

Adjacent sequences: A180490 A180491 A180492 * A180494 A180495 A180496

Keyword

hard,more,nonn

Author

Carl R. White, Sep 08 2010

Status

approved