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Math Help - Primitive root problem

  1. #1
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    Primitive root problem

    Let p be an odd prime, prove that any primitive root of p^n is also a primitive root of p.

    Proof so far:

    Suppose that r is a primitive root of p^2, and let the order of r be k in mod p.

    I don't really know how I should work on this one.
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  2. #2
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    Quote Originally Posted by tttcomrader View Post
    Let p be an odd prime, prove that any primitive root of p^n is also a primitive root of p.
    .
    Major hint: If a\equiv b(\bmod p^k) then a^p\equiv b^p(\bmod p^{k+1}).
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