Search All of the Math Forum:

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

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 23, 2012 5:56 AM

On 22 juin, 18:33, mstem...@walkabout.empros.com (Michael Stemper)
wrote:
> In article <js1rg9\$jj...@dont-email.me>, Robin Chapman <R.J.Chap...@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.

I also verified your numbers. They are perfectly correct.

Marcel Luttgens

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.