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# Tag Info

Let $p$ be a prime number and denote by $\mathbb{Z}_p$ the ring of integers modulo $p$. The set $\mathbb{Z}_p^*$ typically denotes the units of $\mathbb{Z}_p$. This set is defined as $$\mathbb{Z}_p^* = \{n \in \mathbb{Z}_p : \exists m \in \mathbb{Z}_p, nm = 1\},$$ where arithmetic is done modulo $p$. An important fact about $\mathbb{Z}_p$ is that it is a ...