New posts in Congruence Relations

How can I know the number of solutions of the following congruence $x ^ {10} \equiv 1 \pmod {2016}$?

$f(x) \equiv 1$ mod $(x-1)$ and $f(x) \equiv 0$ mod $(x-3)$ then is there any $f(x)$?

Find the last three digits of $383^{101}$

Find the last three digits of $17^{102}$.

Quotienting a group by an equivalence relation