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I have this assignment question that I'm not sure how to answer. Any insight would be helpful.

In the RSA public-key encryption scheme, each user has a public key, e, and a private key, d. Suppose Bob leaks his private key. Rather than generating a new modulus, he decides to generate a new public and a new private key. Is this safe?

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If you know the public and private key you can determine a multiple of $\varphi(n)$ with $n$ being the modulus. Does this help? –  DrLecter Apr 12 at 20:42

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