MathDB

6

Part of 1999 Switzerland Team Selection Test

Problems(1)

m^2 + n^2 - m is divisible by 2mn, then m is a perfect square.

Source: Switzerland - Swiss TST 1999 p6

2/19/2020
Prove that if mm and nn are positive integers such that m2+n2āˆ’mm^2 + n^2 - m is divisible by 2mn2mn, then mm is a perfect square.
divisiblePerfect Squarenumber theory