## Re: my elementary method and Perry's /Goldbach's conjectures

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• ... But it ... like that
Message 1 of 8 , Jul 3, 2003
• 0 Attachment
<umistphd2003@y...> wrote:
>
> Your proof is a bit difficult to follow, so I can't comment much.
But it
> 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
• ... But it ... like that ... Sorry about the last post. I actually meant to print the following. We are considering the sentence p(x)t(x) and its associated
Message 2 of 8 , Jul 3, 2003
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<umistphd2003@y...> wrote:
>
> Your proof is a bit difficult to follow, so I can't comment much.
But it
> 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

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
Message 3 of 8 , Jul 4, 2003
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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)

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