Look up Simons lectures and David Donoho ]]>

http://barkerhugh.blogspot.com/2011/01/twin-prime-proof-compressed-version.html

]]>I have some number-theoretic investigations going on at http://arnienumbers.blogspot.com. (e.g. the last 3 blog posts)

Please do take a look when you get the time.

Cheers,

Arnie

are associated with Mercenne triangle numbers and all 2^n and the

Fermat triangle numbers in a unique way as you will see below!

My studies of triangle number factoring where the addition and negation

of this series below produces no primes.

Except for the very beginning of this summation and negation there is an

actual pattern that can be observed disproving any sort of randomness

or psudo randomness to the primes.

9+3+2+1

+3+2

-2

+4+3+2

-6

+5+4+3+2

-11

+6+5+4+3+2

-17

+7+6+5+4+3+2

-24

+8+7+6+5+4+3+2

-32

+9+8+7+6+5+4+3+2

-41

+10+9+8+7+6+5+4+3+2

-51

+11+10+9+8+7+6+5+4+3+2

-62

…

You will note the negation is predicated on a natural progression

after each set of summations and negation of just (3) from the previous

set of summations and negation. After the negation the value will

allways be congruent to 0(mod 3).

This simple series does not produce any primes but does produce

all odd composites and even integers except for the special even

integers below.

A few even integer exceptions also are not produced such as —

Where n = 1,2,3,4..n then all 2^n are not produced.

Also all even Mercenne triangle numbers–

6,28,496,8128.. are not produced. Also known as even perfect numbers.

Also not produced are all even Fermat triangle numbers of the form —

When n>1 then ((2^(2^n)) +1)= prime then —

when n = 2,4,8,16 then Fermat t(n) = (2^(n-1))*(2^n)+1) =

10,136,32896,2147516416

There are other integers other than primes as I show above that are

not produced but they are all even or prime (2). So Just observing all

odd integer only odd composites are produced in the above sumations

and negations.

The primes shurely have a complex distribution but still a complex

ordered distribution by not appearing in the above summations and

negations.

Taking all integers that are not produced as being the primes and the special cases of the other even integers that also do not get produced

from this summation and negation sequence, is there a orderly reversal

of my sum and negation that will produce the primes and all the special

evens that are associated with the primes?

It would make the case for the not so complex distribution of the primes.

Dan

]]>I think your explanation assumes “the universe” as a mathematical object is representable. ]]>