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Prove that if x ∈ Zn − {0} and x has no common divisor with n...

Prove that if x ∈ Zn − {0} and x has no common divisor with n greater than 1, then x has a multiplicative inverse in (Zn − {0}, ·n).

State the theorem about Euler’s φ function and show why this fact implies it.

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