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2. Alice Bob and Carl are generating public keys for RSA, but they are lazy and decide to share some of the work of generating
2. Alice Bob and Carl are generating public keys for RSA, but they are lazy and decide to share some of the work of generating prime numbers. They find 3 large prime numbers PA and r, then Alice uses the modulus nA q, Bob uses the modulus nB r and Carl uses the modulus nc-q. The prime numbers used are much to large factoring to be feasible, but Eve learns that they shared prime numbers (and knows their public keys) how does she obtain p, q and r
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