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Let p and q be 'secret' primes both congruent to 4 mod 9, and let n = p q. Suppose we have an oracle that

Let p and q be 'secret' primes both congruent to 4 mod 9, and let n = p q. Suppose we have an oracle that takes cube roots mod n. Can you use the oracle to make a probabilistic algorithm to factor n?

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