Question

3. Prove each of the assertions below: (a) Any prime of the form 3n + 1 is also of the form 6m + 1. (b) Each integer of the form 3n + 2 has a prime factor of this form. (c) The only prime of the form n^3− 1 is 7. [Hint: Write n^3− 1 as (n − 1)(n^2+ n + 1).]

Answer 1

Answer:

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