Question 1210186
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I think everybody has it right now.  There has been some editing going on.
 
{{{31^3=29791}}}.

All factors have to be of the form {{{2^m*3^n*5^p}}}

where there are 31 choices for each ordered triple of exponents (m,n,p),
namely 0,1,2,...30.

Edwin</pre>