TR-MO-R1 2021 Problem 2

Kaç farklı $p$ asal sayısı için $29^{p+1} - 1$ sayısı $p$ ile tam bölünür?

a) $2$ b) $4$ c) $6$ d) $8$ e) Hiçbiri

Official text Turkish Mathematical Olympiad, first round 2021 official paper, page 2. Quoted with source.

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