MathDB

Problem 6

Part of 2022 Nigerian Senior MO Round 2

Problems(1)

Tricky diophantine equation

Source: 2022 Nigerian Senior MO Round 2/Problem 6

5/6/2022
Let k,l,m,nk, l, m, n be positive integers. Given that k+l+m+n=km=lnk+l+m+n=km=ln, find all possible values of k+l+m+nk+l+m+n.
number theoryDiophantine equation