TR-MO-R1 2012 Problem 6

$n$ nin aşağıdaki değerlerinden hangisi $n^{29} \equiv 7 \pmod{65}$ denkliğini sağlar?

a) $37$ b) $39$ c) $43$ d) $46$ e) $55$

Official text Turkish Mathematical Olympiad, first round 2012 official paper, page 3. Quoted with source.

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