2. Alice publishes her RSA public key: modulus N = 2419111 and exponent e = 167. (You may use Cocale in this problem, but please show your steps and/or commands that you used to compute your answers). (a) (10 points) Bob wants to send Alice the message m = 2371664. What ciphertext does Bob send to Alice? (b) (10 points) Alice knows that her modulus factors into a product of two primes, one of which is p= 1511. Use this factorization to find a decryption exponent d for Alice, and show that this exponent decrypts Bob's ciphertext. 2. Alice publishes her RSA public key: modulus N = 2419111 and exponent e = 167. (You may use Cocale in this problem, but please show your steps and/or commands that you used to compute your answers). (a) (10 points) Bob wants to send Alice the message m = 2371664. What ciphertext does Bob send to Alice? (b) (10 points) Alice knows that her modulus factors into a product of two primes, one of which is p= 1511. Use this factorization to find a decryption exponent d for Alice, and show that this exponent decrypts Bob's ciphertext