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

Home > Just Math
Sorta pythagoric...(2) (Posted on 2012-05-26) Difficulty: 3 of 5
Given that each of x, y and z is a positive integer, it is observed that the equation 5x + 12y = 13z is satisfied for x=y=z=2.

Does there exist any further solution?

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Question | Comment 3 of 5 |
I notice that x, y and z are not necessarily distinct.

I understand that Fermat's Last Theorem states that no three positive integers a, b, and c can satisfy the equation an + bn = cn for any integer value of n greater than two.

My question is, does the same  concept necessarily hold if the indices are not the same?

  Posted by brianjn on 2012-05-28 03:14:08
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 (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information