Consider RSA with p =5 and q = II. a. What are nand z. b. Let e

Question:

Consider RSA with p =5 and q = II.
a. What are nand z.
b. Let e be 3. Why is this an acceptable choice for e?
c. Find d such that de = I (mod z) and d < 160.
d. Encrypt the message m = 8 using the key (n, e). Let c denote the corresponding ciphertext. Show all work. To simplify the calculations, use the fact:
[(a mod n) • (b mod n)] mod n = (a • b) mod n