Math Is Fun Forum
Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °
You are not logged in.
- Topics: Active | Unanswered
Pages: 1
#1 2009-04-30 09:30:53
- tony123
- Member
- Registered: 2007-08-03
- Posts: 229
Find all triples
Find all triples (x, y, z) of positive integers such that
Offline
#2 2009-04-30 11:03:07
- mathsyperson
- Moderator
- Registered: 2005-06-22
- Posts: 4,900
Re: Find all triples
(2,4,20)
(2,5,10)
I'm pretty sure that's it.
Why did the vector cross the road?
It wanted to be normal.
Offline
#3 2009-05-01 13:26:51
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Find all triples
Hi Tony123 and mathsyperson;
This is a problem by Erdos, who conjectured that
would always have a solution. He did not suggest how many of them there are or how to find them. I also could not find any additional ones other than what mathysyperson has found.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Pages: 1