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MathNet 2019-part-06 — 184 problems (EN–VI) Question 22

Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)

Question 22

Prove that there are no positive integers $x$, $y$, $z$ such that
$$
(3x + 4y)(4x + 5y) = 7^{z}
$$