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Bosnia and Herzegovina JBMO TST 2016 Problem 1

Source: Bosnia and Herzegovina Junior Balkan Mathematical Olympiad TST 2016

September 16, 2018
number theoryPerfect Square

Problem Statement

Prove that it is not possible that numbers (n+1)⋅2n(n+1)\cdot 2^n and (n+3)⋅2n+2(n+3)\cdot 2^{n+2} are perfect squares, where nn is positive integer.
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