%I
%S 2,3,4,5,6,7,8,10,11,13,14,16,18,19,21,23,25,26,28,30,32,34,36,38,40,
%T 42,44,47,49,51,53,55,58,60,62,65,67,70,72,74,77,79,82,84,87,90,92,95,
%U 97,100,103,105,108,111,114,116,119,122,125,128,131,134,136
%N Smallest k such that k! > A058694(n).
%o (PARI) smk(n) = {lim = prod(i=1, n, numbpart(i)); k = 0; while (k! <= lim, k++); return (k);} \\ _Michel Marcus_, Jul 23 2013
%Y Cf. A058694, A073071, A137620.
%K nonn
%O 1,1
%A _R. J. Mathar_, May 01 2008
