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

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 mluttgens Posts: 80 Registered: 3/3/11
Re: Vindication of Goldbach's conjecture
Posted: Jun 22, 2012 6:40 AM

On 22 juin, 03:19, Gus Gassmann <horand.gassm...@googlemail.com>
wrote:
> On Jun 21, 7:29 pm, mluttgens <lutt...@gmail.com> wrote:
>

> > For N = 1000000, one gets 10804 Goldbach's pairs.
> > The relation between log N and log n is log n = 0.727*log N -0.436

>
> Note that this is not an equation, as it is not satisfied for N = 4.

The linear relation has been calculated from N = 50 to N = 1000000.
Using it, one gets n = 8433 when N = 1000000, which is less than the
exact value 10804.
With the help of a graph, one could infer that another relationship,
probably exponential, would be more appropriate. This would of course
still clearer vindicate Goldbach's conjecture.

Marcel Luttgens

> It is at best an estimate, and there is error. This error may very
> well turn out to be bounded in such a way that n can never be zero,
> but you have not shown this. I will be generous and assume that to you
> "vindication" means something different than "proof". Note, however,
> that there are quite a few partial results already, based on a
> probabilistic analysis, see, e.g., the wikipedia article (http://
> en.wikipedia.org/wiki/Goldbach%27s_conjecture), along with some very
> nice pictures. None of this constitutes mathematical proof, however.
>
>
>

> > For N = 60,119,912, log n = 5.219 and the number of pairs is 165577

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.