8.2 The purpose of this problem is to demonstrate that the probability that two random numbers are relatively prime is about 0.6.
a. Let P = Pr[gcd(a,
b) = 1]. Show that P = Pr[gcd(a,
b) = d] = P/d2. Hint: Consider the quantity gcd
8.2 The purpose of this problem is to demonstrate that the probability that two random numbers are relatively prime is about 0.6. a. Let P = Pr[gcd(a, b) = 1]. Show that P = Pr[gcd(a, b) = d] = P/d2. Hint: Consider the quantity gcd | |
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