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MathNet 2023-part-02 — 191 problems (EN–VI) Question 132

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

Question 132

Determine all pairs $(k, n)$ of positive integers satisfying the equation
$$
1! + 2! + \cdots + k! = 1 + 2 + \cdots + n.
$$