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

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Re: Vindication of Goldbach's conjecture
Posted: Jun 22, 2012 7:05 AM

On Jun 22, 7:40 am, mluttgens <lutt...@gmail.com> wrote:
> On 22 juin, 03:19, Gus Gassmann <horand.gassm...@googlemail.com>
> wrote:
>

> > On Jun 21, 7:29 pm, mluttgens <lutt...@gmail.com> wrote:
>
> > > For N = 1000000, one gets 10804 Goldbach's pairs.
> > > The relation between log N and log n is log n = 0.727*log N -0.436

>
> > Note that this is not an equation, as it is not satisfied for N = 4.
>
> The linear relation has been calculated from N = 50 to N = 1000000.
> Using it, one gets n = 8433 when N = 1000000, which is less than the
> exact value 10804.
> With the help of a graph, one could infer that another relationship,
> probably exponential, would be more appropriate. This would of course
> still clearer vindicate Goldbach's conjecture.

You chose not to respond to my main substantive point, which was that
vindication =/= proof. Evidence in favor of the conjecture is hardly
news. After all, the original conjecture was based on at least some
evidence, so you are approximately 270 years too late. And since n(N),
the number of ways one can partition N into primes, is not monotonic*,
you cannot rule out a situation where N > 2 and n(N) = 0.

* n(8) = n(12) = 1, but n(10) = 2.

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.