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TR-MO-R1 2018 Problem 26

    2 nin tüm pozitif tam sayı kuvvetlerinin pp ile bölümünden kalanların alabileceği farklı değerlerin toplamının pp ye eşit olmasını sağlayan 2018 den küçük kaç farklı pp asalı vardır?

    a) 11 b) 22 c) 33 d) 44 e) 55

    Official text Turkish Mathematical Olympiad, first round 2018 official paper, page 9. Quoted with source.

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