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

Home > Numbers
Pretty primes (Posted on 2017-04-10) Difficulty: 1 of 5
How any primes p exist such that
p4+1 is a prime number as well?

See The Solution Submitted by Ady TZIDON    
Rating: 2.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips re: solution Comment 2 of 2 |
(In reply to solution by Daniel)

To simplify:  p^4+1 must be odd so p must be even.

There is only one even prime, i.e.  2.

Since 2^4+1=17  is prime number , 2 is the answer.



  Posted by Ady TZIDON on 2017-04-10 16:05:15
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (21)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information