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Alice and Bob wish to use the RSA cryptosystem for communication. Alice get a pair of prime numbers 1 3 , 1 7 . (

Alice and Bob wish to use the RSA cryptosystem for communication. Alice get a pair of prime numbers 13,17.(1) What is the public modulus n, and ?[7 marks]
(2) Alice choose a public key 77, what is the corresponding private key? [8 marks]
(3) Encrypt message 2 with the public key 77.

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