Question: A Number Theory Question In a toy RSA cipher system, the public key is (n, e) = (5723, 11). (i) Use Fermat factorization to factor

A Number Theory Question

In a toy RSA cipher system, the public key is (n, e) = (5723, 11). (i) Use Fermat factorization to factor n. Show your work. (ii) The result of part (i) allows you to break the code. Explain why. (iii) What is your decoding modulus f? Explain why. (iv) If you receive a coded message {2250 3189 3053 4927 1822 1149 385 5625 3922}, describe how you decode this message. You do not have to do the actual calculation of the decoded message

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