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Given a large integer N, you generate prime numbers in the follow- ing way: pick a random n Given a large integer N, you generate

Given a large integer N, you generate prime numbers in the follow- ing way: pick a random n

Given a large integer N, you generate prime numbers in the follow- ing way: pick a random n N, run a primality test on it, and try again. Suppose your primality test is completely accurate; what's the probability that you find at least one prime in 4 tries?

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