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

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 Guest
Re: Musatov Prime Generalization Conjecture
Posted: Jul 8, 2009 2:30 AM

On Jul 7, 10:17 pm, amor...@xenon.Stanford.EDU (Alan Morgan) wrote:
> Constructive Truth  <scribe...@aol.com> wrote:
>

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

>
> >My claim is:
>
> >1. every prime is of the form 2N+1.
>
> Not only is your statement trivial and completely uninteresting (every
> prime number is odd.  Really?  Could that be because even numbers are,
> by definition, divisible by 2, and thus not prime?), it isn't even
> completely correct.  2 is a prime, but is not of the form 2N+1.
>
> So your claim is both trivial and false.  Have no fear!  One minor
> change:
>
> Musatov-Morgan Theorem
>   Every prime > 2 is of the form 2N+1
>
> and it's now trivial and true.  What's next?  A variation on the
> Goldbach Conjecture where you hypothesize that every number > 2
> can be written as the sum of two other numbers?
>
> Alan
> --
> Defendit numerus

Hello Alan,

Thank you for your feedback and write up. Very cool!

understand, 2 N + 1 = odd. But what else can we say about 2 N + 1 ?

Here are a list of statements, I would like to know if we can properly
decide from 2 N + 1:

(All of the below statements assume P > 2, as you asserted.)

Can we say....? (If every prime > 2 is 2 N + 1 = odd)

1. 2 N + 1 = P an (odd) prime 1/2 (of an even) 2P?

For example:

2*8+1=17
1/2*34=17

2. Can we then write for every prime > 2:

2 N + 1 = P (odd) and 2P (Even), N is also always even?

3. Can the above statement equivocally be stated:

2 (even N) + 1 = Every Prime = 1/2 2P or 1/2 * 4
(even N + 2)?

2 * 8 + 1 = 17 (a prime) = 1/2 (17*2) or 1/2 * (4 * 8
+ 2)?

Thank you for your time an patience.

> Musatov-Morgan Theorem
>   Every prime > 2 is of the form 2N+1

So cool, thanks again!

Martin Musatov

Date Subject Author
6/20/09 MeAmI.org
6/20/09 Richard Heathfield
6/20/09 CBFalconer
6/21/09 Richard Heathfield
6/26/09 MeAmI.org
6/26/09 John H. Guillory
6/26/09 Guest
6/26/09 Richard Heathfield
6/27/09 Guest
6/27/09 Guest
6/27/09 Guest
6/29/09 Peter Nilsson
6/30/09 Guest
6/30/09 Alf P. Steinbach
6/30/09 Richard Heathfield
6/30/09 Guest
6/30/09 Dik T. Winter
6/30/09 Richard Heathfield
6/30/09 Guest
6/30/09 Richard Heathfield
6/30/09 mike
6/30/09 Richard Heathfield
6/30/09 Guest
9/13/13
9/13/13
7/7/09 Constructive Truth
7/8/09 Alan Morgan
9/13/13
7/8/09 Guest
7/8/09 Guest
7/8/09 mike
7/8/09 Constructive Truth
7/8/09 Constructive Truth
7/12/09 mike
7/13/09 Guest
7/15/09 Guest
8/24/09 Guest
8/24/09 Guest
6/30/09 Guest
6/30/09 Ed Prochak
11/7/17 4musatov@gmail.com
6/20/09 William Elliot
6/20/09 Guest
6/20/09 Guest
6/20/09 Guest
6/20/09 Guest
6/20/09 Guest
2/8/14
9/13/13