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TR-MO 2005 Problem 4

    5m+7n=k35^m + 7^n = k^3 eşitliğini sağlayan tüm (m,n,k)(m, n, k) negatif olmayan tam sayı üçlülerini bulunuz.

    Official text Turkish Mathematical Olympiad 2005 official paper, page 2. Quoted with source.

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