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Revision difference : primitive root
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If the group of integers coprime to a given integer $n$ with multiplication modulo $n$ as $(\mathbb{Z}\over {n\mathbb{Z}}, \times)$ is cyclic, the {\em primitive root} is any generator of that group. If the group of integers coprime to a given integer $n$ with multiplication modulo $n$ as $(\mathbb{Z}\over {n\mathbb{Z}}, \times)$ is cyclic, the {\em primitive root} is any generator of that group.
The Riemann hypothesis implies that every prime number $p$ has a primitive root below $70(\ln(p))^2$. The Riemann hypothesis implies that every prime number $p$ has a primitive root below $70(\ln(p))^2$.
Reference
Wikipedia, "Primitive root modulo n"