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 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified June 6 14:05 EDT 2023. Contains 363147 sequences. (Running on oeis4.)