2012. �prilis 16. 2:00 WarrenS �rta, <

warren.wds@...>:

> **

>

>

>

>

> --- In primenumbers@yahoogroups.com, Kermit Rose <kermit@...> wrote:

> >

> > Hello Friends.

> >

> > Prove that every positive composite integer can be expressed as a sum of

> > 4 positive integers

> > such that the product of the 4 positive integers is a square integer.

> >

> > Kermit

>

> --every positive integer is a sum of 4 squares (Fermat, Euler, Lagrange);

> the product of 4 squares is a square.

> QED.

>

> Note the word "composite" was not required.

>

>

>

Missed the condition that here the 4 terms should be positive, and in the

Lagrange's theorem you can use 0 as a term.

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