Is $2$ always a generator of the unit group of $Z_{3^m}$ for any nonzero positive integer m?
I know that $|\langle 2\rangle | > m \;Log_2(3)$, and by Lagrange $|\langle 2\rangle|\>\lVert\> 2\times3^{m-1}$.
2026-03-27 17:04:30.1774631070
Is 2 always a generator of the unit group Z_{3^m} for any nonzero positive integer m?
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