2002 IMO Problems/Problem 3

Revision as of 00:31, 19 November 2023 by Tomasdiaz (talk | contribs) (Created page with "==Problem== Find all pairs of positive integers <math>m,n \ge 3</math> for which here exist infinitely many positive integers <math>a</math> such that <cmath>\frac{a^m+a-1}...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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

This problem needs a solution. If you have a solution for it, please help us out by adding it.

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