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In this question we show that we can use φ(n)/2. Let n = pq. Let x...

In this question we show that we can use φ(n)/2. Let n = pq. Let x be a number so that gcd(x, n) = 1.

Show that x φ(n)/2 = 1 mod p and x φ(n)/2 = 1 mod q, Show that this implies that and x φ(n)/2 = 1 mod n

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