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MathNet 2017-part-02 — 176 problems (EN–VI) Question 21

Math Olympiad Vault · MathNet 2017-part-02 — 176 problems (EN–VI)

Question 21

Let $p$ be a prime number. Determine all pairs $(a, b)$ of integers such that
$$
p(a - 2) = a(b - 1).
$$