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TR-MO-R1 2009 Problem 2

    a2+b4=5na^2 + b^4 = 5^n eşitliğini sağlayan kaç (a,b,n)(a, b, n) pozitif tam sayı üçlüsü vardır?

    a) 1 b) 2 c) 3 d) 4 e) Sonsuz çoklukta

    Official text Turkish Mathematical Olympiad, first round 2009 official paper, page 2. Quoted with source.

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