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MathNet 2023-part-02 — 191 problems (EN–VI) Question 97

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

Question 97

Find all pairs of positive integers $(k, n)$ for which
$$
1!+2!+\cdots+k!=1+2+\cdots+n
$$