MathDB
IMO Shortlist 2009 - Problem N7

Source:

July 5, 2010
number theoryPerfect SquareIMO Shortlistexponential

Problem Statement

Let aa and bb be distinct integers greater than 11. Prove that there exists a positive integer nn such that (an−1)(bn−1)(a^n-1)(b^n-1) is not a perfect square.
Proposed by Mongolia
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