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(Adam’s Theorem) Prove that a ∈ Zn is a cyclic generator of Zn (i.e. hai =...

(Adam’s Theorem) Prove that a ∈ Zn is a cyclic generator of Zn (i.e. hai = Zn) if and only if gcd(a, n) = 1.

(b) Find all cyclic generators of Z24.

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