MathDB
2^x + 3^y a perfect square, find positive integers x,y

Source: JBMO Shortlist 2017 NT3

July 25, 2018
number theoryPerfect Squarepositive integers

Problem Statement

Find all pairs of positive integers (x,y)(x,y) such that 2x+3y2^x + 3^y is a perfect square.
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