Definition:Primitive Root (Number Theory)

Definition
Let $$a, n \in \Z^*_+$$, that is, let $$a$$ and $$n$$ be positive integers.

Let the order of $a$ modulo $n$ be $$\phi \left({n}\right)$$, where $$\phi \left({n}\right)$$ is the Euler phi function of $$n$$.

Then $$a$$ is said to be a primitive root of $$n$$.