6. (20 points) Consider RSA encryption algorithm with public key e = 19 and m = 77 . (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 “3” using this RSA mechanism. What is the number corresponding to the ciphertext? (c) (5 pts) How does the receiver decrypt the ciphertext? Show that the plaintext is correctly decrypted.