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MathNet 2025-part-02 — 186 problems (EN–VI) Question 52

Math Olympiad Vault · MathNet 2025-part-02 — 186 problems (EN–VI)

Question 52

Show that there exist infinitely many natural numbers $n$ for which $2025 \cdot n$ is a perfect cube, and $5202 \cdot n$ is a perfect square.