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MathNet 2016-part-03 — 184 problems (EN–VI) Question 87

Math Olympiad Vault · MathNet 2016-part-03 — 184 problems (EN–VI)

Question 87

Determine the positive integers expressible in the form $\dfrac{x^2 + y}{xy + 1}$, for at least two pairs $(x, y)$ of positive integers.