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Given N = p q, where p is a prime and q is a prime, (a) Prove that the number of elements in multiplicative group

Given N = p q, where p is a prime and q is a prime,

(a) Prove that the number of elements in multiplicative group Z N is equal to (p 1)(q 1).

(b) Given N = p1 p2 p3 = 13 5 7, what is the group order of multiplicative group Z N ?

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