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All pairs are coprime

Source: Mexico National Olympiad Mock Exam 2021 P2

November 12, 2021
number theory

Problem Statement

For which positive integers nn does there exist a positive integer mm such that among the numbers m+n,2m+(n−1),…,nm+1m + n, 2m + (n - 1), \dots, nm + 1, there are no two that share a common factor greater than 11?
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