# Is there any primitive root of $p$ which is not primitive root of $p^2$ without $1$? [closed]

Is there any primitive root of $$p$$ which is not primitive root of $$p^2$$ without $$1$$ (since $$1$$ is a primitive root of $$2$$ but $$1$$ is not a primitive root of $$4$$)?

Are there other examples?

## closed as off-topic by Scientifica, Parcly Taxel, max_zorn, jgon, NamasteNov 18 '18 at 11:18

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If $$a$$ is a primitive root modulo $$p$$, then $$a^p$$ is also a primitive root modulo $$p$$ but not modulo $$p^2$$.