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MathNet 2007-part-03 — 185 problems (EN–VI) Question 8

Math Olympiad Vault · MathNet 2007-part-03 — 185 problems (EN–VI)

Question 8

Find all possible integer solutions $x$ and $y$ of the equation:
$$
p(x+y)=x y
$$
where $p$ is a certain prime number.