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Romanian District Olympiad 2019 - Grade 9 - Problem 4

Source: Romanian District Olympiad 2019 - Grade 9 - Problem 4

March 18, 2019
number theory

Problem Statement

Find all positive integers pp for which there exists a positive integer nn such that pn+3n ∣ pn+1+3n+1.p^n+3^n~|~p^{n+1}+3^{n+1}.
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