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MathNet 2022-part-03 — 197 problems (EN–VI) Question 61

Math Olympiad Vault · MathNet 2022-part-03 — 197 problems (EN–VI)

Question 61

Find all pairs $(a, b)$ of positive integers such that
$$
11 a b \leq a^{3}-b^{3} \leq 12 a b
$$