(b) p has “the form n° – 1," we mean that there exists some integer n such that p= n³ – 1.) Prove that there exists exactly one prime of the form n° –1. (When we say that a number Before you start...

Extracted text: (b) p has “the form n° – 1," we mean that there exists some integer n such that p= n³ – 1.) Prove that there exists exactly one prime of the form n° –1. (When we say that a number Before you start your proof, first express the statement symbolically. HINT: n3 – 1 is equal to the product of two other polynomials in n.