For which positive integers n is n4 + 4n prime?
In this problem we need to define n4+ 4n is prime for any positive integers n.
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.
Textbook: Discrete Mathematics and Its Applications
Author: Kenneth Rosen
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.