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Prove that if n is a positive integer such that the sum of

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 18E Chapter 4.SE

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 18E

Prove that if n is a positive integer such that the sum of the divisors of n is n + 1, then n is prime.

Step-by-Step Solution:

Solution:Step 1In this problem we need to prove that if sum of divisors of a positive integer n is n + 1, then n is a prime number.Step 2Prime number : A positive integer n which has only two divisors namely 1 and n itself. We know that every positive integer n has always 1 and n as its divisors. Considering that n has m divisors excluding 1 and n as where all are greater than zero....

Step 2 of 3

Chapter 4.SE, Problem 18E is Solved
Step 3 of 3

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Prove that if n is a positive integer such that the sum of

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