2^{5^{2^{5^{...}}}}+ 4^{5^{4^{5^{...}}}} divisible by 2008
Source: Switzerland - 2008 Swiss MO Final Round p3
December 26, 2022
number theorydividesdivisible
Problem Statement
Show that each number is of the form
is divisible by , where the exponential towers can be any independent ones have height .