All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Prime candidates (Posted on 2016-12-20) Difficulty: 2 of 5
For what values of integer n are n^n + 1 and (2n)^(2n) + 1 both prime numbers?

See The Solution Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: solution -@ Paul | Comment 4 of 5 |
(In reply to solution by Paul)

Excellent expose, Paul.

I would like to post it as an "official" solution, - with a small modification- after the case of n=1 the sequel will be as follows:

...Let us consider n>1.
Clearly, when n is odd -  x^n + 1 is even, and therefore not prime.
Now for odd values of n   etc  etc
I hope to get your approval of the above clarification.
Please comment

  Posted by Ady TZIDON on 2016-12-20 22:34:05
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information