please answer all the question given tq

Suppose you are given the following information for an RSA encryption: - The two prime numbers used to generate the keys are p=61 and q=53 - Select a public exponent e=17 - The plaintext message m=1234 Use the information provided to perform the following tasks: a) Calculate the modulus n=pq. (3 Marks) b) Calculate the totient of n, denoted (n). (3 Marks) c) Calculate the private exponent d. (6 Marks) d) Use the public key to encrypt the plaintext message m, and show your work for the calculation of the ciphertext c. (4 Marks) e) Use the private key to decrypt the ciphertext c, and show your work for the calculation of the decrypted message m. (4 Marks) [Total: 20 Marks]