Consider the RSA algorithm with public key e = 35 and m = 65. (Note that this is a mock example of RSA. The numbers e, d and m consist of hundreds of digits in real life RSA algorithms.)

a. [10 pts] What would be a suitable private key d?

b. [5 pts] Suppose you would like to send the plaintext corresponding to number "8" using this RSA mechanism. What is the number corresponding to the ciphertext?

c. [5 pts] How does B decrypt the ciphertext?