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MathNet 2015-part-03 — 191 problems (EN–VI) Question 30

Math Olympiad Vault · MathNet 2015-part-03 — 191 problems (EN–VI)

Question 30

Determine all triads of positive integers $(x, y, p)$, where $p$ is prime, which satisfy the following equation: $$\frac{xy^3}{x+y} = p.$$