Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

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

 Search Thread: Advanced Search

 Messages: [ Previous | Next ]
 Michael Stemper Posts: 671 Registered: 6/26/08
Re: Vindication of Goldbach's conjecture
Posted: Jun 22, 2012 12:33 PM
 Plain Text Reply

In article <js1rg9\$jj2\$1@dont-email.me>, Robin Chapman <R.J.Chapman@ex.ac.uk> writes:
>On 22/06/2012 13:58, mluttgens wrote:

>>>> Hereafter are the numbers n of Goldbach's sums for increasing even
>>>> numbers N:

>>>
>>>> N n

>>>> 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.

Thanks for the confirmation. (I'll admit to having whipped together
the program that I used pretty quickly.)

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

--
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
6/14/12 Horand.Gassmann@googlemail.com
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
6/21/12 Horand.Gassmann@googlemail.com
6/22/12 mluttgens
6/22/12 Horand.Gassmann@googlemail.com
6/22/12 mluttgens
6/22/12 Brian Q. Hutchings
6/22/12 Horand.Gassmann@googlemail.com
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
6/16/12 Horand.Gassmann@googlemail.com
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.
6/19/12 Madhur
6/19/12 Brian Q. Hutchings

© The Math Forum at NCTM 1994-2018. All Rights Reserved.