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★ 8/10Diophantine Equations number theory Modular Arithmetic Casework

Problem

Find the number of positive integer solutions $(x, y, u, v)$ of

\left|2^x 3^y - 2^u 5^v\right| = 2.

Answer

Solution

Difficulty	8/10
Topics	Diophantine Equations, number theory, Modular Arithmetic, Casework

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