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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: 73
Registered: 3/3/11
Re: Vindication of Goldbach's conjecture
Posted: Jun 21, 2012 6:29 PM
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On 21 juin, 15:08, Frederick Williams <freddywilli...@btinternet.com>
wrote:
> 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?
>
> > 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.

>
> There's no 'clearly' about it.  You've gone up to 100,000 (have you even
> done that, or just looked at some numbers up to 100,000?); what about N
>

> > 100,000?

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


Marcel Luttgens


>
> --
>      The animated figures stand
>      Adorning every public street
>      And seem to breathe in stone, or
>      Move their marble feet.




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

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