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MathNet 2023-part-02 — 191 problems (EN–VI) Question 125

Math Olympiad Vault · MathNet 2023-part-02 — 191 problems (EN–VI)

Question 125

Determine all positive integers $\alpha, \beta$ with $\alpha \gt 1$ such that $\beta$ divides $\alpha - 1$ and $2\alpha + 1$ divides $5\beta - 3$.
(A. Fellouris)