$\mathbb{Z}^*_m = \{a \in \mathbb{Z}_m | \gcd(a, m) = 1\}$. As $\mathbb{Z}^*_p$ is cyclic when $p$ is prime the group contains at least 1 generator. Can we say anything else about the number of generators in such a group?
2026-04-18 12:43:44.1776516224
What can we say about the number of generators in group $\mathbb{Z}^*_p$ ($p$ prime)?
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