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2024 IMO Problems/Problem 2

Revision as of 22:34, 16 July 2024 by Youlost thegame 1434 (talk | contribs) (Created page with "Find all positive integer pairs <math>(a,b),</math> such that there exists positive integer <math>g,N,</math> <cmath>\gcd (a^n+b,b^n+a)=g</cmath> holds for all integer <math>n...")
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Find all positive integer pairs $(a,b),$ such that there exists positive integer $g,N,$ \[\gcd (a^n+b,b^n+a)=g\] holds for all integer $n\ge N$

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