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MathNet 2019-part-06 — 184 problems (EN–VI) Question 76

Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)

Question 76

Find all pair of integers ($m$, $n$) and $m \geq n$ such that there exist a positive integer $s$ and
1. Product of all divisors of $s m$, $s n$ are equal.
2. Number of divisors of $s m$, $s n$ are equal.