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Hard diophantine eq with n^{p-1}

Source: KoMaL A. 841

January 11, 2023
number theoryDiophantine equationkomal

Problem Statement

Find all non-negative integer solutions of the equation 2a+pb=np12^a+p^b=n^{p-1}, where pp is a prime number.
Proposed by Máté Weisz, Cambridge