I know a primitive root exist if m=1,2,4,p,2p. for m=10, can i say that 3 is a primitive root since 3^4 is congruent to 1 where 4 =phi(10).
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Yes, this is true because φ(10) is the smallest power that makes 3^{r} $\displaystyle \equiv 1 $mod 10
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