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Easy pudding equation in Taiwan TST

Source: 2021 Taiwan TST Round 1 Mock Day 1 P3

March 19, 2021
Diophantine equationnumber theoryTaiwan

Problem Statement

Find all triples (x,y,z)(x, y, z) of positive integers such that x2+4y=5z.x^2 + 4^y = 5^z.
Proposed by Li4 and ltf0501
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