POTW #1 - Nov. 27, 2023

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Difficulty: 6

This problem is tagged with potw, potw2023.

MCR Problem of the Week, Nov. 27, 2023 Edition

Consider the equation $2^a \times 5^b = c^2$, where $a$, $b$, and $c$ are positive integers with $a,b \le 100$. How many distinct positive integer triples $(a,b,c)$ satisfy the equation?

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