IMO Shortlist 1993 problem N2
Dodao/la:
arhiva2. travnja 2012. Let
be positive integers,
and
Show that the representation of the number
in the base
contains at least
digits different from zero.
%V0
Let $a,b,n$ be positive integers, $b > 1$ and $b^n-1|a.$ Show that the representation of the number $a$ in the base $b$ contains at least $n$ digits different from zero.
Izvor: Međunarodna matematička olimpijada, shortlist 1993