Dimiter,

first of all, you haven't even visited my website...

and second, the argument is so simple that it does NOT

require that someone even consider the summand portions

which would make the answer deficient or abundant. The

proof combines Euler's work w/that of Jacques Tochard's

from 1953; I just threaded the ideas together. (prime,

prime, prime; I have to mention them not to get spammed)

Bill

--- In primenumbers@yahoogroups.com, "Dimiter Skordev" <skordev@...> wrote:

>

> Hi,

>

> I am afraid that your idea why odd-perfect numbers don't exist would not work due to the existence of odd abundant numbers.

>

> Best regards,

> Dimiter

>

> --- In primenumbers@yahoogroups.com, "leavemsg1" <leavemsg1@> wrote:

> >

> > I have extended Proth's theorem.

> >

> > It can be found on my website...

> > www.oddperfectnumbers.com under

> > the Other Short Proofs heading.

> >

> > You will also find the proof for

> > "why odd-perfect numbers don't

> > exist" among others. Enjoy!

> >

> > Bill

> >

>