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find all naturals a,b such that a^{n}+ b^{n} = c^{n+1}

Source: where c and n are natural

June 25, 2009
calculusintegrationinductionmodular arithmeticnumber theorynumber theory unsolved

Problem Statement

Find all natural numbers a, b such that a^{n}\plus{} b^{n} \equal{} c^{n\plus{}1} where c and n are naturals.