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TR-MO-R1 2009 Problem 18

    1≤n≤4551 \leq n \leq 455 ve n3≡1(mod455)n^3 \equiv 1 \pmod{455} koşullarını sağlayan kaç nn tam sayısı vardır?

    a) 99 b) 66 c) 33 d) 11 e) Hiçbiri

    Official text Turkish Mathematical Olympiad, first round 2009 official paper, page 6. Quoted with source.

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