Question 132
Determine all pairs $(k, n)$ of positive integers satisfying the equation
$$
1! + 2! + \cdots + k! = 1 + 2 + \cdots + n.
$$
$$
1! + 2! + \cdots + k! = 1 + 2 + \cdots + n.
$$
Math Olympiad Vault · MathNet 2023-part-02 — 191 problems (EN–VI)