1994 OIM Problems/Problem 1
Problem
A natural number 
is said to be "sensible" if there exists an integer 
, with 
, such that the representation of in base has all its digits equal. For example, 62 and 15 are "sensible", since 62 is 222 in base 5 and 15 is 33 in base 4.
Prove that 1993 is NOT "sensible" but 1994 is.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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