MathDB
Factorial and square

Source: Tuymaada 2015, Day 1, Problem 4, Senior League

July 10, 2017
factorialalgebra

Problem Statement

Let n!=ab2n!=ab^2 where aa is free from squares. Prove, that for every ϵ>0\epsilon>0 for every big enough nn it is true, that 2(1−ϵ)n<a<2(1+ϵ)n2^{(1-\epsilon)n}<a<2^{(1+\epsilon)n}
M. Ivanov
Back to ProblemsView on AoPS