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

%I A181583 #10 Jul 30 2021 08:43:41
%S A181583 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 A181583 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 A181583 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 A181583 Smallest prime p such that p! contains exactly n 0's (or 0, if no such p exists).
%C A181583 The smallest prime p such that A027869(p) = n. [_R. J. Mathar_, Nov 18 2010]
%H A181583 <a href="/index/Fa#factorial">Index to sequences related to factorial numbers</a>.
%e A181583 a(2) = 7 because 7! = 5040 is the first prime factorial followed by 11! = 39916800 to contain exactly 2 0's.
%Y A181583 Cf. A027869, A181580.
%K A181583 nonn,base
%O A181583 0,1
%A A181583 _Lekraj Beedassy_, Nov 02 2010
%E A181583 More terms from _Robert G. Wilson v_, Nov 04 2010