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

Home > Just Math
All Primes (Posted on 2018-11-17) Difficulty: 3 of 5
f(x) = x5 + 5x4 + 5x3 + 5x2 + 1
g(x) = x5 + 5x4 + 3x3 - 5x2 -1

For the above two functions find the sum of all prime numbers p for which there exists a natural number 0 <= x < p such that both f(x) and g(x) are divisible by p.

No Solution Yet Submitted by Danish Ahmed Khan    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: solution Comment 2 of 2 |
(In reply to solution by xdog)

Nicely explained!
  Posted by Ady TZIDON on 2018-11-19 02:50:22

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 (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information