I understand:

X|n+1 = X|n^2 mod p

Write the pattern connecting each X|n from the set {1,2,...,p-1} then the
loops of the set i.e those numbers
connecting a ring will be described by p=u*2^k+1 where u is the number of
elements in all rings of this structure.

example: 13=3*2^2+1 and 1 connects itself obviously and 3 connects 9 wich
reconnects to 3 since
3^2mod13=9 and 9^2mod13=3 etc...

hope this clarifies a little...

2008/1/7, Mike McCarty <[EMAIL PROTECTED]>:
>
> Jesse Homonnay wrote:
> > 2002 i found studying at university of Lund Sweden
> >
> > X^2=mod N
>
> This modular equivalence is incomplete.
>
> > where N chosen as prime written out as a whole generative pattern
> actually
> > describes the prime numbers as a generative dynamical system pattern.
>
> I can't put any meaning to this. If you mean that when N is a prime,
> then X^2 has certain properties as a polynomial in the ring of integers
> modulo N, then certainly that's true. It doesn't help much in finding
> primes.
>
> > Mersenne primes are a simple symmetry case ( as well as Fermat primes )
> >
> > All general identities proven hereby.
>
> This statement seems, erm, somewhat inflated.
>
> > I think this is important
>
> I'm sure you do. However, I don't think you have managed to
> convey what it is to anyone yet.
>
> Mike
> --
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