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