Show that if p is an odd prime, then every divisor of the

Chapter 4, Problem 41E

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Problem 41E

Show that if p is an odd prime, then every divisor of the Mcrsenne number 2p ‒ 1 is of the form 2kp + I, where k is a nonnegative integer. [Hint: Use Fermat's little theorem and Exercise 37 of Section 4.3.]

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