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Topic: Vindication of Goldbach's conjecture
Replies: 74   Last Post: Aug 9, 2012 6:50 PM

 Messages: [ Previous | Next ]
 mluttgens Posts: 80 Registered: 3/3/11
Re: Vindication of Goldbach's conjecture
Posted: Jun 21, 2012 4:37 AM

On 20 juin, 17:35, Rick Decker <rdec...@hamilton.edu> wrote:
> On 6/20/12 10:33 AM, mluttgens wrote:
>
>
>
>
>

> > On 16 juin, 19:00, Frederick Williams<freddywilli...@btinternet.com>
> > wrote:

> >> mluttgens wrote:
>
> >>> Bigger is the number, and more primes it contains.
> >>> Hence, the number of possible sums of two primes corresponding to a
> >>> number
> >>> is proportional to the magnitude of the number.

>
> >> That's a big claim.  Can you prove it?
>
> >> --
> >>       The animated figures stand
> >>       Adorning every public street
> >>       And seem to breathe in stone, or
> >>       Move their marble feet.

>
> > It was easy to show that the even number 26 is the sum of two primes:
>
> > 26 = 3+23, 7+19, 13+13, 19+7 and 23+3.
>
> > Let's call those sums Goldbach's sums.
> > The number 26 has thus 5 Goldbach's sums. Hence, the number 26
> > vindicates Goldbach's conjecture.

>
> > In order to falsify the conjecture, one should need to show that some
> > even number can't be the sum of two primes.

>
> > Hereafter are the numbers n of Goldbach's sums for increasing even
> > numbers N:

>
> >           N        n
> >           _        _

>
> >          50        8
> >         100       12
> >         500       26
> >        1000       56
> >        5000      152
> >       10000      254
> >       50000      900
> >      100000     1628

>
> > Clearly, when N increases, the number of Goldbach's sums also
> > increases.

>
> No. All you can say with certainty is that _for the cases you have
> provided_, the number of Goldbach sums increases as N increases.
> You haven't provided anything of substance besides your assertion.
>

> > Perhaps could somebody finds a formula linking N and n.
>
> Now _that_ would indeed be a useful result. The problem is that
> nobody has come up with such a formula.

Because that till now, no mathematician has thought of studying the
relation between N and n
and found that the relation between log N and log n is *linear*

Such a linear relation straightforwardly validates Goldbach's
conjecture.

Marcel Luttgens

>
> > The given example shows that n cannot decrease from some value of N
> > and eventually becomes zero.

>
> No it doesn't. It only provides a reason why you believe that GC is
> true. Being as gentle as I can here, no one is interested in your
> beliefs. Lots of mathematicians believe that GC is true, but they
> recognize that belief without proof isn't mathematics.
>

> > Thus, it vindicates Goldbach's conjecture.
>
> Sorry to break it to you, but it doesn't, at least for any
> definition of "vindicate" that I could find.
>
> Regards,
>
> Rick
>
>

Date Subject Author
6/6/12 mluttgens
6/6/12 Brian Q. Hutchings
6/6/12 GEIvey
6/7/12 Richard Tobin
6/8/12 mluttgens
6/8/12 Count Dracula
6/9/12 mluttgens
6/9/12 Brian Q. Hutchings
6/9/12 mluttgens
6/25/12 GEIvey
6/9/12 Richard Tobin
6/9/12 mluttgens
6/9/12 Richard Tobin
6/9/12 Brian Q. Hutchings
6/9/12 Brian Q. Hutchings
6/14/12 mluttgens
6/16/12 mluttgens
6/16/12 Frederick Williams
6/20/12 mluttgens
6/20/12 Rick Decker
6/21/12 mluttgens
6/21/12 Frederick Williams
6/21/12 mluttgens
6/22/12 mluttgens
6/22/12 mluttgens
6/22/12 Brian Q. Hutchings
6/25/12 Michael Stemper
6/26/12 mluttgens
6/26/12 Frederick Williams
6/28/12 Michael Stemper
7/19/12 mluttgens
7/19/12 Timothy Murphy
7/19/12 mluttgens
7/19/12 Gus Gassmann
7/20/12 mluttgens
8/1/12 Tim Little
8/4/12 mluttgens
8/4/12 Frederick Williams
8/6/12 mluttgens
8/6/12 gus gassmann
8/6/12 Brian Q. Hutchings
8/9/12 Pubkeybreaker
7/19/12 J. Antonio Perez M.
7/20/12 mluttgens
6/25/12 Michael Stemper
6/25/12 Thomas Nordhaus
6/17/12 mluttgens
6/17/12 quasi
6/18/12 Count Dracula
6/18/12 quasi
6/19/12 Count Dracula
6/19/12 quasi
6/20/12 mluttgens
6/22/12 Michael Stemper
6/22/12 mluttgens
6/22/12 Robin Chapman
6/22/12 Michael Stemper
6/23/12 mluttgens
6/22/12 Richard Tobin
6/22/12 Richard Tobin
6/25/12 Richard Tobin
6/25/12 Michael Stemper
6/14/12 Count Dracula
6/21/12 Luis A. Rodriguez
6/21/12 Brian Q. Hutchings
6/21/12 mluttgens
6/25/12 GEIvey
6/20/12 J. Antonio Perez M.