## Re: [PrimeNumbers] Re: Brocard's Conjecture, and other notes

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• Sigh. Nevermind... taking the link down. The other expression is also flawed... it fails badly when i exceeds 35 (that is, (p(i))^2=22201). Back to the
Message 1 of 5 , Oct 7, 2005
Sigh. Nevermind... taking the link down.

The other expression is also flawed... it fails badly
when i exceeds 35 (that is, (p(i))^2=22201).

Back to the drawing board...

--- Jeremy Wood <mickleness@...> wrote:

> After work I'll revisit everything again. In the
> meantime I kept the file online, but put red notes
> around the incorrect section.
>
> But the paper still points out -- although it
> doesn't
> formally prove -- that:
> pi(p(i+1)^2)>=r(i)*(p(i+1)^2)+i-1
> where r(i) =
> (p(1)-1)/p(1)*(p(2)-1)/p(2)*...(p(i)-1)/p(i)
>
> If anyone has any thoughts as to how one could apply
> this towards Brocard's Conjecture, please let me
> know.
> Or if this is also flawed, please let me know.
>
> Cheers
> - Jeremy Wood
>
> --- Patrick Capelle <patrick.capelle@...>
> wrote:
>
> > --- In primenumbers@yahoogroups.com, Jeremy
> > <mickleness@y...> wrote:
> > >
> > > Hi everyone... I just joined the list.
> > >
> > > I wrote a little paper on primes recently,
> > offering an informal proof
> > > of Brocard's Conjecture. a few notes on twin
> > primes. and other
> > > observations.
> > >
> > > I was wondering if people on this list could
> look
> > it over and let me
> > > know... well... if it has any merit. I'm
> > competent at math, but
> > > proofs and high level math are a little foreign
> to
> > me...
> > >
> > > http://homepage.mac.com/bricolage1/essays/
> > >
> >
> >
> > Hello Jeremy,
> >
> > At the beginning of your proof of Brocard's
> > conjecture,you wrote :
> > "Well if d-b >= k, and a >= b and c >= d, then
> > surely c-a >= k ".
> > Surely not.There are cases where c-a < k.
> > Take for instance a = 5, b = 2, c = 7, d = 6 and k
> =
> > 3.
> >
> > Regards,
> > Patrick Capelle.
> >
> >
> >
> >
>
>
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