Problem

The answer to exercise marked [BB] can be found in the Back of the Book.(a) [BB] Is 215 −...

The answer to exercise marked [BB] can be found in the Back of the Book.

(a) [BB] Is 215 − 1 prime? Explain your answer.

(b) Is 291 − 1 prime? Explain your answer.

(c) Show that if 2n − 1 is prime then necessarily n is prime.

(d) Is the converse of (c) true? (If n is prime, need 2n − 1 be prime?)

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