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Topic: Prime Generalization Conjecture
Replies: 48   Last Post: Nov 7, 2017 5:14 PM

 Messages: [ Previous | Next ]
 Constructive Truth Posts: 627 Registered: 7/7/09
Re: Musatov Prime Generalization Conjecture
Posted: Jul 7, 2009 11:35 PM

On Jun 30, 5:06 am, "Dik T. Winter" <Dik.Win...@cwi.nl> wrote:
> In article <115c718c-fe66-4a34-ac7c-02b57c508...@i6g2000yqj.googlegroups.com> Musatov <marty.musa...@gmail.com> writes:
> ...
> When are you going to stop to post these mindless conjectures based on a
> very small number of cases?
>
>  > Consider each case:
>  >
>  > For four: (#4)

Dear Mr. Dik T. Winter:

I am afraid, necessarily you misunderstand the direct language of my
claim.

My claim is:

1. every prime is of the form 2N+1.

My claim is:

2. Not every number of the form 2N+1 is prime.

They are two very different things, but may be stated directly with

"Every prime number is of the form 2N+1"

Do you understand?

--

Martin Musatov

Venn Diagram/Concentric circle inclusions/statements may help me
clarify.
_____________________
[ All Numbers of the ]
[ {Prime Numbers} ]
[ form 2N+1 ]
----------------------

1. All prime numbers are of the form 2N+1
2. Not all numbers of the form 2N+1 are prime.

>  > 2*4+1=9 not prime
>  > 2*14+1=29 prime
>  > 2*24+1=49 not prime
>  >
>  > In the above instances "N" ends in "4" and is not prime, the formula
>  > produces a number with square prime factors (i.e. 3*3=9 and 7*7=49).
>  > (i.e. When it does not produce a prime the composite is a prime
>  > squared).
>
> Wrong.  2*34+1 = 69 = 3*23.
>         2*544+1 = 1089 = 3*3*11*11
>         2*364+1 = 729 = 3*3*3*3*3*3
>
>  > Also, we note:
>  >
>  > When "N" ends in "4" and the formula produces a composite number,
>  > adding "two" to the composite produces a prime.
>  >
>  > Shown:
>  > 2*4+1=9+2=11 prime
>  > 2*24+1=49+2=51 prime
>
> Since when is 51 prime?
> --
> dik t. winter, cwi, science park 123, 1098 xg amsterdam, nederland, +31205924131
> home: bovenover 215, 1025 jn  amsterdam, nederland;http://www.cwi.nl/~dik/

Date Subject Author
6/20/09 MeAmI.org
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