On Feb 26, 11:27 am, "doug" nospam.com> wrote:

Actually it is easily derived.

Let z^2 = y^2 + nT, where T is the target to be factored.

Further let 2áx = k + p*r_2, where I use r_2 for historical reasons
since the full theory also has an r_1, and where p is an odd prime of
your choice.

Then you let z = x+ák, and substitute, and finally you let

k= k_0 + pj

where j is an integer.

As I explained in my initial post you get a remarkable result that k_0
will be near the maximum k such that abs(nT - (1+á^2)k^2) is a
minimum, which you can prove rigorously with

x^2 = y^2 + nT - (1 + á^2)(k_0^2 + 2pjk_0 + p^2*j^2) - (k_0 + pj)pr_2

so the circle is complete.

It IS a simple result that has profound consequences, but we live in a
complex world, so the debate continues as I face people who have
learned to just fight for one more day.

Their strategy is always just to fight for one more day, fooling the
world, and each day they keep people from the truth is a victory for
them.

I am just one person fighting against a society around the world that
is firmly entrenched that has betrayed the public trust.

At this point smarter people can exploit the mathematics but
unfortunately I am sure that there are people who will try to hide
exploits.

So yes, if say, a bank gets invaded by hackers who are breaking RSA at
will, I fear that will be hidden. If you lose all your money as a
result they will tell you it's your fault and you will not get a penny
back.

If you protest you will be ignored.

And then you will understand how powerful they truly are.

I wish I knew a better way. Some way to save innocents from the fall-
out.

But with a betrayal of trust on this scale I am at a loss for a better
answer.

They will fail with a big collapse I fear, when they can no longer
hide the security breaches. And can no longer explain away the
collapses in security.

Florida in the United States lost power today. Is it yet another
demonstration that will be explained away by powerful people fighting
to keep their control? Or are the official explanations given
correct?

I don't know.

My main task is to preserve civilization. IN order to do so I am
empowered to sacrifice whatever needs to be lost. There are probably
already lost.

Unheard. Unappreciated, except by me. I will honor their memory even
if no one else understands.

James Harris