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Argentina MO 2021 National Level 3 P2

Source:

April 24, 2022
number theoryprime numbersPerfect Squarespositive integerscontestsArgentina

Problem Statement

Let mm be a positive integer for which there exists a positive integer nn such that the multiplication mnmn is a perfect square and m−nm- n is prime. Find all mm for 1000≤m≤2021.1000\leq m \leq 2021.
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