a$)$ Compute private key $($d$,$ p$,$ q$)$ given public key $($e$=23,$ n$=(233$ x $241)=56,153)?$

b$)$ Perform encryption using RSA algorithm, p $=17,$ q $=31,$ e $=7$ and the message M$=2?$

c$)$ In public$-$key system using RSA, you intercept the ciphertext C $=10$ sent to a user whose

public key is e$=5,$ n$=35.$ What is the plaintext M$?$