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Topic: Prime Generalization Conjecture
Replies: 47   Last Post: Feb 8, 2014 8:41 PM

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 Posts: 822 Registered: 9/1/10
Re: Prime Generalization Conjecture
Posted: Feb 8, 2014 8:41 PM

On Saturday, June 20, 2009 8:01:35 AM UTC-7, M.M Musatov wrote:
> Oh I see you're not answering...(Revised)
>
>
>
> Musatov wrote:

> > On Jun 20, 4:06 am, Musatov <marty.musa...@gmail.com> wrote:
> > > On Jun 20, 12:13 am, William Elliot <ma...@rdrop.remove.com> wrote:
> > >

> > > > On Fri, 19 Jun 2009, MeAmI.org wrote:
> > > > > RULE: EVERY PRIME number is exactly
> > > > >              1/2 of some other number +1.

> > >
> > > > So what?  For all x, x = (2x - 2)/2 + 1.
> > >
> > > > Trivial rule.
> > > > Every integer (rational number, real number, complex number) is half
> > > > of some integer (resp. rational number, real number, complex number)
> > > > plus one.

> > >
> > > > Exercise.  How many primes are half of some prime plus one?
>
> None. Half of a prime number is not a whole number. (Except 2, in
> which case the whole number is 1).
> 17/2=8.5+1=9.5 (NP).
>
> So we have the result:
>
> RULE: No prime number greater than two is 1/2 another prime number
> plus one.
>
> But perhaps this is what you meant.
>
> Inverse/Additive prime property per Musatov: (below)
>
> RULE: EVERY PRIME number greater than 2 is twice a number +1.
> 3=1*2+1
> 5=2*2+1
> 7=3*2+1
> 11=5*2+1
> 13=6*2+1
> 17=8*2+1
> 19=9*2+1
> 23=11*2+1
> 29=14*2+1
> 31=15*2+1
> 37=18*2+1
> 41=20*2+1
> 43=21*2+1
> 47=23*2+1
> 51=25*2+1
> 53=26*2+1
>
> And combined Prime Generalization: (Musatov)
>
> RULE: Every prime greater than two is 1/2 a number +1 and twice a
> number +1.
>
> Now consider the series again, but this time plot the additive
> difference between first and next doubled number.
>
> In the first two terms we write....
> 3=1*2+1 #
> 5=2*2+1 1 because the difference between the doubled numbers from
> first to the next was "1".
>
> And we continue....
> (here is the full table)
> 3=1*2+1 #
> 5=2*2+1 1
> 7=3*2+1 1
> 11=5*2+1 2
> 13=6*2+1 1
> 17=8*2+1 2
> 19=9*2+1 1
> 23=11*2+1 2
> 29=14*2+1 3
> 31=15*2+1 1
> 37=18*2+1 3
> 41=20*2+1 2
> 43=21*2+1 1
> 47=23*2+1 2
> 51=25*2+1 2
> 53=26*2+1 1
>
> I would like to see if these reveals more to clarity to the set of
> primes.
>
> How might it?

w/ answer reduce zero values separate odd values into 1 and 7 even values into 2 and 8 > Ben Bacarisse wrote:
> > Musatov <marty.musatov@gmail.com> writes:
> > > On Jun 20, 12:13 am, William Elliot <ma...@rdrop.remove.com> wrote:
> > <snip>
> > >> Exercise.  How many primes are half of some prime plus one?
0> > >
> > > None. Half of a prime number is not a whole number.
> >
> > Except for 2.

2 is not half of a prime but 2 is a prime plus 1 is 3 a prime> >
> > > So we have the result:
> > >
> > > RULE: No prime number is 1/2 another prime number plus one. (Except for )

> >
> > Just one prime number is exactly one plus 1/2 another prime number.

>
> Oh yeah, which one?

2>
>
> > Copout per Ben.: Wording changed to avoid the ambiguity between p/2 + 1 and (p + 1)/2.)
> ++
> Martin

abba

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
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6/29/09 Peter Nilsson
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6/30/09 Alf P. Steinbach
6/30/09 Richard Heathfield
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6/30/09 Dik T. Winter
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6/30/09 mike
6/30/09 Richard Heathfield
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9/13/13
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7/7/09 Constructive Truth
7/8/09 Alan Morgan
9/13/13
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6/20/09 William Elliot
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2/8/14
9/13/13