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3^x -5^y = z^2 diophanine

Source: 2019 Chile National Olympiad level 2 p2

October 22, 2022
number theoryDiophantine equationdiophantine

Problem Statement

Find all solutions x,y,zx,y,z in the positive integers of the equation 3xāˆ’5y=z23^x -5^y = z^2
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