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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 22, 2012 8:58 AM

On 22 juin, 14:21, mstem...@walkabout.empros.com (Michael Stemper)
wrote:
> In article <0556b041-cf5b-4b09-9b34-72473aebd...@n5g2000vbb.googlegroups.com>, mluttgens <lutt...@gmail.com> writes:
>
>
>
>
>

> >On 17 juin, 20:17, quasi <qu...@null.set> wrote:
> >> To prove Goldbach's Conjecture, you have to show, for the
> >> general even n > 4, not a just a particular case, that a pair
> >> of odd primes exists whose sum is n. That you haven't done.

> >It was easy to show that the even number 26 is the sum of two primes:
>
> >26 =3D 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.

>
> Except when it doesn't:
>
> 450000  11028
> 455000   7526
> 460000   5840

How did you find those numbers? What do they represent?
If 11028, 7526 and 5840 represent Goldbach's pairs, they are false.

Marcel Luttgens

>
> which, by your reasoning, would show that Goldbach's conjecture is false.
>

> >Perhaps could somebody finds a formula linking N and n.
> >The given example shows that n cannot decrease from some value of N
> >and eventually becomes zero.
> >Thus, it vindicates Goldbach's conjecture.

>
> The point isn't to show a general trend, but to show that it's *always*
> the case. The general trend is what led Goldbach to make this conjecture,
> and the reason that most mathematicians think that the conjecture is
> probably true.
>
> "Probably true" is easy; "proved" is hard.
>
> --
> Michael F. Stemper
> #include <Standard_Disclaimer>
> Life's too important to take seriously.
>
>

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.