Find all pairs of positive integers $m$ and $n$ such that $$m! + n! = m^n.$$.
Problem
Source: New Zealand NZMOC Camp Selection Problems 2011 Seniors 1
Tags: diophantine, Diophantine equation, number theory
Source: New Zealand NZMOC Camp Selection Problems 2011 Seniors 1
Tags: diophantine, Diophantine equation, number theory
Find all pairs of positive integers $m$ and $n$ such that $$m! + n! = m^n.$$.