1. Prove that 2 is a primitive root of the prime number 11. 2. Find whether 3 is a primitive root of the prime number 11. 3. Compute the common shared secret key for the prime number p = 181 and...

1. Prove that 2 is a primitive root of the prime number 11.

2. Find whether 3 is a primitive root of the prime number 11.

3. Compute the common shared secret key for the prime number p = 181 and primitive root k = 127. Consider the secret integer chosen by Alice is 48 and the secret integer chosen by Bob is 58.