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Regional Olympiad - FBH 2009 Grade 12 Problem 1

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2009

September 28, 2018
number theoryperfect cubePerfect Square

Problem Statement

Prove that for every positive integer mm there exists positive integer nn such that m+n+1m+n+1 is perfect square and mn+1mn+1 is perfect cube of some positive integers
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