Question 46
Find all $(m,n)$ pairs of strictly positive integers such as $$
m! + n! = m^n
$$ Note. For any integer $n$, it is recalled that $n!$ denotes the integer $1 \times 2 \times 3 \times \cdots \times n$.
m! + n! = m^n
$$ Note. For any integer $n$, it is recalled that $n!$ denotes the integer $1 \times 2 \times 3 \times \cdots \times n$.