IMO 2015 Shortlist N2
Let a and b be positive integers such that a!b! is a multiple of a! b!. Prove that 3a ě 2b 2. (United Kingdom)
Category: Number Theory
Problem
Let a and b be positive integers such that a!b! is a multiple of a! b!. Prove that 3a ě 2b 2.
(United Kingdom)