Suppose that 2n-1 = 1 (mod n). Is n necessarily prime?

Step1

We have to prove

If is a prime number then n is prime .

Step 2</p>

Or we have to prove if n is a composite number then is also a composite number.

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ISBN: 9780073383095
37

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition

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2

Problem 14RQ

Suppose that 2n-1 = 1 (mod n). Is n necessarily prime?

Step-by-Step Solution:
##### Textbook: Discrete Mathematics and Its Applications

##### Edition: 7

##### Author: Kenneth Rosen

##### ISBN: 9780073383095

Step 2 of 4

Step1

We have to prove

If is a prime number then n is prime .

Step 2</p>

Or we have to prove if n is a composite number then is also a composite number.

Step 3 of 4
###### Chapter 4.R, Problem 14RQ is Solved

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Step 4 of 4

Since the solution to 14RQ from 4.R chapter was answered, more than 254 students have viewed the full step-by-step answer. The answer to “Suppose that 2n-1 = 1 (mod n). Is n necessarily prime?” is broken down into a number of easy to follow steps, and 11 words. The full step-by-step solution to problem: 14RQ from chapter: 4.R was answered by , our top Math solution expert on 06/21/17, 07:45AM. This full solution covers the following key subjects: mod, necessarily, prime, suppose. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7.

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Suppose that 2n-1 = 1 (mod n). Is n necessarily prime?

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