MathDB

b/a+c/a+c/b+a/b+a/c+b/c is an pos. integer, where a,b,c coprime pos. integers

Source: KJMO 2006 p2

May 1, 2019

number theorycoprimepositive integersIntegers

Problem Statement

Find all positive integers that can be written in the following way

\frac{b}{a}+\frac{c}{a}+\frac{c}{b}+\frac{a}{b}+\frac{a}{c}+\frac{b}{c}

. Also,

a,b, c

are positive integers that are pairwise relatively prime.