Question 74
Prove that there are only finitely many quadruples $(a, b, c, n)$ of positive integers such that
$$
n! = a^{n-1} + b^{n-1} + c^{n-1}
$$
$$
n! = a^{n-1} + b^{n-1} + c^{n-1}
$$
MathNet 2021 — Part 05 Question 74
Math Olympiad Vault · MathNet 2021 — Part 05