Hello

I'm trying to prove the following conjecture,

Any positive integer can be expressed in the form

where a positive integer and or .

Any ideas ?

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- Feb 27th 2011, 02:32 PMRaohany positive integer can be expressed..
Hello

I'm trying to prove the following conjecture,

Any positive integer can be expressed in the form

where a positive integer and or .

Any ideas ? - Feb 27th 2011, 08:51 PMBruno J.
It seems likely but difficult to prove. Did you make this up for fun?

- Feb 27th 2011, 09:01 PMBruno J.

- Feb 27th 2011, 09:07 PMtopsquark
- Feb 27th 2011, 10:49 PMRaoh
@Bruno.J

No i didn't make anything up. - Feb 28th 2011, 01:06 AMRaoh

i've found a hint, i will come to discuss it later.I'm off =) - Feb 28th 2011, 01:33 AMWilmer
- Feb 28th 2011, 10:22 AMRaoh
- Feb 28th 2011, 10:37 AMWilmer
Right...my bad...but:

-1 - 4 + 9 = 4

1 - 4 - 9 + 16 = 4

My point? More than 1 solution... - Feb 28th 2011, 12:31 PMBruno J.
This thread deserves to be moved in Number Theory!