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

 Messages: [ Previous | Next ]
 Robin Chapman Posts: 412 Registered: 5/29/08
Re: Vindication of Goldbach's conjecture
Posted: Jun 22, 2012 9:21 AM

On 22/06/2012 13:58, mluttgens wrote:

>>> 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.

There are 11028 ordered pairs of primes (p,q) with p + q = 450000.
There are 7526 ordered pairs of primes (p,q) with p + q = 455000.
There are 5840 ordered pairs of primes (p,q) with p + q = 460000.
(I could list them, but I think I will spare the readers of sci.math).

There is an error above:
there are 1620 ordered pairs of primes (p,q) with p + q = 100000
(not 1628 of them).

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.