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A181583 Smallest prime p such that p! contains exactly n 0's (or 0, if no such p exists). 1

%I #10 Jul 30 2021 08:43:41

%S 2,5,7,0,13,23,19,29,0,0,0,47,37,43,0,41,0,53,0,59,0,0,67,0,0,71,61,0,

%T 0,79,83,0,0,0,89,73,103,0,0,109,0,0,107,0,0,0,131,0,0,137,0,0,149,0,

%U 127,0,0,139,0,0,151,0,0,0,0,0,173,0,163,0,167,199,0,0,179,0,197,0,0,0,0,0

%N Smallest prime p such that p! contains exactly n 0's (or 0, if no such p exists).

%C The smallest prime p such that A027869(p) = n. [_R. J. Mathar_, Nov 18 2010]

%H <a href="/index/Fa#factorial">Index to sequences related to factorial numbers</a>.

%e a(2) = 7 because 7! = 5040 is the first prime factorial followed by 11! = 39916800 to contain exactly 2 0's.

%Y Cf. A027869, A181580.

%K nonn,base

%O 0,1

%A _Lekraj Beedassy_, Nov 02 2010

%E More terms from _Robert G. Wilson v_, Nov 04 2010

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Last modified August 22 01:28 EDT 2024. Contains 375353 sequences. (Running on oeis4.)