Establish the statements below:(a) If the number Mp = 2P − 1 is composite, where p is a pr...

Establish the statements below:

(a) If the number Mp = 2P − 1 is composite, where p is a prime, then Mp is a pseudo-prime.

(b) Every composite number is a pseudoprime (n = 0, 1, 2, …).

[Hint: By Problem 21, Section 2.3, implies that ; but .]