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BMO Shortlist 2021 N3

Source: BMO Shortlist 2021

May 8, 2022
Balkanshortlist2021number theorycongruence

Problem Statement

Let nn be a positive integer. Determine, in terms of nn, the greatest integer which divides every number of the form p+1p + 1, where p≡2p \equiv 2 mod 33 is a prime number which does not divide nn.
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