Prove that the number $n^n-n$ is divisible by $24$ for any odd integer $n$.
Problem
Source: 2004 Estonia National Olympiad Final Round grade 9 p4
Tags: divides, divisible, odd, number theory
Source: 2004 Estonia National Olympiad Final Round grade 9 p4
Tags: divides, divisible, odd, number theory
Prove that the number $n^n-n$ is divisible by $24$ for any odd integer $n$.