Question 93
Determine all polynomials $f(x)$ with integer coefficients such that, for any integer $n \ge 2$, the following conditions hold:
$\bullet\ f(n) \gt 0.$
$\bullet\ f(n)$ divides $n^{f(n)} - 1$.
$\bullet\ f(n) \gt 0.$
$\bullet\ f(n)$ divides $n^{f(n)} - 1$.