TR-MO-R1 2014 Problem 14

Kaç farklı $p$ asal sayısı için, $p \mid n^3 + 3$ ve $p \mid n^5 + 5$ olacak biçimde bir $n$ tam sayısı bulunur?

a) 3 b) 2 c) 1 d) 0 e) Sonsuz çoklukta

Official text Turkish Mathematical Olympiad, first round 2014 official paper, page 5. Quoted with source.

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