Question: 5. Design a randomized algorithm that takes as input a Carmichael number or a prime, n, and whose output is either a factorization of n

5. Design a randomized algorithm that takes as input a Carmichael number or a prime, n, and whose output is either a factorization of n or a message saying that n is a prob-

able prime. What obstacles are there if you want to extend this algorithm to apply to all natural numbers?

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