How many integers in the set $\{1, 2 ,..., 2010\}$ divide $5^{2010!}- 3^{2010!}$?
Problem
Source: 2010 Saudi Arabia BMO TST 4.3 - Balkan Math Olympiad
Tags: number theory, Divide, divisible
Source: 2010 Saudi Arabia BMO TST 4.3 - Balkan Math Olympiad
Tags: number theory, Divide, divisible
How many integers in the set $\{1, 2 ,..., 2010\}$ divide $5^{2010!}- 3^{2010!}$?