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MathNet 2018-part-02 — 181 problems (EN–VI) Question 168

Math Olympiad Vault · MathNet 2018-part-02 — 181 problems (EN–VI)

Question 168

Find all integers $x, y \geqslant 1$ such that
$$
\frac{1}{x}+\frac{1}{y}=\frac{1}{2017}
$$