Difference between revisions of "2002 IMO Problems/Problem 3"

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Latest revision as of 00:31, 19 November 2023

Problem

Find all pairs of positive integers $m,n \ge 3$ for which here exist infinitely many positive integers $a$ such that

\[\frac{a^m+a-1}{a^n+a^2-1}\]

is itself an integer

Solution

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See Also

2002 IMO (Problems) • Resources
Preceded by
Problem 2
1 2 3 4 5 6 Followed by
Problem 4
All IMO Problems and Solutions