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

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Michael Stemper

Posts: 671
Registered: 6/26/08
Re: Vindication of Goldbach's conjecture
Posted: Jun 22, 2012 8:21 AM
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In article <0556b041-cf5b-4b09-9b34-72473aebd922@n5g2000vbb.googlegroups.com>, mluttgens <luttgma@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

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
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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