Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

Login

Username

Password

Not registered yet?

Post a reply

Go back

Write your message and submit
:) :| :( :D :o ;) :/ :P :lol: :mad: :rolleyes: :cool: | :dizzy :eek :kiss :roflol :rolleyes :shame :down :up :touched :sleep :wave :swear :tongue :what :faint :dunno
Options

Go back

Topic review (newest first)

bobbym
2012-11-05 15:16:06

Hi Nope;

I think he knows that he was for looking for a method for the ones that do have solutions.

nope
2012-11-05 12:35:57

There are not integer solutions for all n, take for example

, then
and since the biggest values for the 3 fractions are when
then there are no solutions to the problem for n=1

bobbym
2012-10-31 00:02:17

Hi ReallyConfused;

That is the thing,I want a method that will work for any n.

Those two sites are saying the mathematical method does not yet exist. If it did this would not be an open question. It can be done by computer though.

There are solutions if you can work with positive and negative numbers. You have not told me what constraints there are on the problem.

ReallyConfused
2012-10-30 23:03:37

That is the thing,I want a method that will work for any n.

bobbym
2012-10-30 20:33:42

Hi ReallyConfused;

If x>0 and y>0 and z>0 then as far as I know there are only computer solutions. It is an open problem

http://en.wikipedia.org/wiki/Erd%C5%91s … conjecture

http://en.wikipedia.org/wiki/Egyptian_fraction

whether there is a solution for all n.

Sometimes it can be solved, for instance when



then a solution is:

ReallyConfused
2012-10-30 20:24:30

How can I find integer solutions of this,

I know there is a solution for all n,I searched in wikipedia,and I didn't find a suitable solution.could you please explain how to solve.

Board footer

Powered by FluxBB