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For which positive integers n is n4 + 4n prime

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

Solution for problem 35E 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 35E

For which positive integers n is n4 + 4n prime?

Step-by-Step Solution:

Step 1:

In this problem we need to define n4+ 4n is prime for any positive integers n.

Step 2:

We given the condition n4 + 4n, if we substitute n= 1, then we get an answer 5 that is prime.

Now we will prove that n4 + 4n is always a composite number for n greater than 1.  

Step 3 of 3

Chapter 4.SE, Problem 35E is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

This full solution covers the following key subjects: integers, Positive, prime. 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. The full step-by-step solution to problem: 35E from chapter: 4.SE was answered by , our top Math solution expert on 06/21/17, 07:45AM. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Since the solution to 35E from 4.SE chapter was answered, more than 241 students have viewed the full step-by-step answer. The answer to “For which positive integers n is n4 + 4n prime?” is broken down into a number of easy to follow steps, and 10 words.

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