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  3. let p be an odd prime. (a) (*) prove that there is

Let p be an odd prime. (a) (*) Prove that there is a primitive root modulo p2...

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Advance Math

Let p be an odd prime.

(a) (*) Prove that there is a primitive rootmodulo p2 . (Hint: Use that if a, b have orders n, m,with gcd(n, m) = 1, then ab has order nm.)

(b) Prove that for any n, there is a primitiveroot modulo pn.

(c) Explicitly find a primitive root modulo125.

Please do all parts.

Thank you in advance

Answer & Explanation Solved by verified expert
3.8 Ratings (402 Votes)
aClaim If g is a primitive root mod p then either g or g pmust be a primitive root mod    See Answer
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