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Assume that Bob's public RSA key is (n, e), where n = pq. (a) Suppose that we are able to guess a number x, with

Assume that Bob's public RSA key is (n, e), where n = pq.

(a) Suppose that we are able to guess a number x, with 1 x < n such that gcd(x, n) > 1. Would that give us a way of compromising Bob's key? How?

(b) What is the probability of guessing an x as in part (a)?

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