- --- In primenumbers@yahoogroups.com, "Andy Swallow"

<umistphd2003@y...> wrote:>

But it

> Your proof is a bit difficult to follow, so I can't comment much.

> seems extremely suspicious that the Omega function should appear

like that

> in theorem 1.

>

> But surely someone's proved Perry's "conjecture" already...?

>

> Surely?!?

>

> Andy - --- In primenumbers@yahoogroups.com, "Andy Swallow"

<umistphd2003@y...> wrote:>

But it

> Your proof is a bit difficult to follow, so I can't comment much.

> seems extremely suspicious that the Omega function should appear

like that

> in theorem 1.

Sorry about the last post.

>

> But surely someone's proved Perry's "conjecture" already...?

>

> Surely?!?

>

> Andy

I actually meant to print the following.

We are considering the sentence p(x)t(x) and its associated sum.

Define t'(x) as t'(x)={1 if t(x) = 0 and 0 otherwise. So now t'(x)

equals 1 iff (x,n)>1 and t(x) + t'(x) = 1 for all x in Sn.

Now p(x)t(x) is equivalent to p(x)(1-t'(x)) is equivalent to

p(x) - p(x)t'(x) for all x in Sn

If we sum over x then

Sum(p(x)) = Pi(n-3)-1 the odd primes p <= n-3

Sum(p(x)t'(x)) = Omega(n) - 1

because t'(x) equals 1 iff (n,p)>1 which implies that p|n but we

subtract 1 because since n is even 2|n and we only want the odd prime

divisors since p(x)=0 if x is equal to 2.

I believe that a simple formula for the Goldbachian partition

function will depend on Omega(n) but I am not ready to conjecture

such a result.

Thanks for looking over my post. - So, what's next: Politically Correct Maths?

Personally I *hate* PDF. Hmmm (muses to self: I

wonder what Pytho and Archie used... PDF, HTML,

UML, ....?)

Fav counter example: consider a set X | X contains

phi and all sets which do not (by definition) contain

phi.

NOTES:

phi == {} == the empty set.

=========== (later froods, off to scarf down a

couple more hot dogs) btw, Barry White died :(

====================================== --30--

(the overt memo follows)

To: primenumbers@yahoogroups.com

From: "Andy Swallow" <umistphd2003@...> |

This is spam | Add to Address Book

Date: Thu, 3 Jul 2003 23:14:47 +0100

Subject: Re: [PrimeNumbers] Re: my elementary method

and Perry's /Goldbach's conjectures

Hey, its ok, I was only half serious. It's difficult

to set it out in plain

text anyway!

Andy

----- Original Message -----

From: "antonioveloz2" <antonioveloz2@...>

To: <primenumbers@yahoogroups.com>

Sent: Thursday, July 03, 2003 10:52 PM

Subject: [PrimeNumbers] Re: my elementary method and

Perry's /Goldbach's

conjectures

> --- In primenumbers@yahoogroups.com, "Andy Swallow"

> <umistphd2003@y...> wrote:

> >

> > Could we pass a law?

> >

> > 'Anyone submitting proofs must typeset them

nicely'

> >

> > Please? It's a dream anyway...

> >

> > Andy

>

> I apologize. I will make a pdf file and a

mathematica program with

> the paper and post a link to them. I would also

like to state that I

--- Andy Swallow <umistphd2003@...> wrote:

>

> Hey, its ok, I was only half serious. It's difficult

> to set it out in plain

> text anyway!

>

> Andy

>

> ----- Original Message -----

> From: "antonioveloz2" <antonioveloz2@...>

> To: <primenumbers@yahoogroups.com>

> Sent: Thursday, July 03, 2003 10:52 PM

> Subject: [PrimeNumbers] Re: my elementary method and

> Perry's /Goldbach's

> conjectures

>

>

> > --- In primenumbers@yahoogroups.com, "Andy

> Swallow"

> > <umistphd2003@y...> wrote:

> > >

> > > Could we pass a law?

> > >

> > > 'Anyone submitting proofs must typeset them

> nicely'

> > >

> > > Please? It's a dream anyway...

> > >

> > > Andy

> >

> > I apologize. I will make a pdf file and a

> mathematica program with

> > the paper and post a link to them. I would also

> like to state that I

> > do not claim to prove Goldbach's conjecture.

> >

> >

> >

> > Unsubscribe by an email to:

> primenumbers-unsubscribe@yahoogroups.com

> > The Prime Pages : http://www.primepages.org/

> >

> >

> >

> > Your use of Yahoo! Groups is subject to

> http://docs.yahoo.com/info/terms/

> >

>

>

=====

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