Question 119
Find all integers $n \geqslant 1$ for which the function: $$
x \longmapsto x^{x}
$$ takes all possible values Modulo $n$ when $x$ travels $\llbracket 0, n-1 \rrbracket$. It is said to be an overjection in $\mathbb{Z} / n \mathbb{Z}$.
x \longmapsto x^{x}
$$ takes all possible values Modulo $n$ when $x$ travels $\llbracket 0, n-1 \rrbracket$. It is said to be an overjection in $\mathbb{Z} / n \mathbb{Z}$.