JSH: Key in the lock, factoring technique
- From: JSH <jstevh@xxxxxxxxx>
- Date: Sat, 9 Feb 2008 11:31:57 -0800 (PST)
So guess what? Big new thing is that I came up with this guessing
technique to factor, which is a key in the lock technique, where the
guesses have to be correct or you don't get all integers.
Trouble is, and why I'm still putting out the posts, the math people
are either quiet or still arguing with me, which in this case means
showing complete contempt for your knowledge of basic algebra:
The four equations are:
(f_1 + c_1*p_1)(f_2 + c_2*p_1) = T = r_1 + k_1*p_1
(g_1 + d_1*p_2)(g_2 + d_2*p_2) = T = r_2 + k_2*p_2
and
(f_1 + c_1*p_1) = (g_1 + d_1*p_2)
(f_2 + c_2*p_1) = (g_2 + d_2*p_2)
and that may seem like a LOT of variables (ok, it is) but most of them
are known as p_1 and p_2 are prime numbers. T is the target composite
to factor, r_1 = T mod p_1, and r_2 = T mod p_2, so k_1 and k_2 are
easily calculated.
And f_1, f_2, g_1, and g_2 are residues where
f_1*f_2 = T mod p_1 and g_1*g_2 = T mod p_2
so those are you keys to the lock. If you guess right then the last
two equations are true. If you guess wrong, then they are not true
for integers.
That's why this technique is about a key in the lock.
Note, guessing wrong will still give you an answer for the c's and
d's, but not all integers.
You have four equations and four unknowns as if you counted along,
only c_1, c_2, d_1, and d_2 are left as unknowns, and you can see the
four equations.
Math people have a reason to fight my research, and the point here is
there are NO LIMITS in their fight so they cannot be the ones who are
telling the truth.
Otherwise, they'd celebrate a great advance.
But I suggest to you they feel fear and are just looking to see if
they can hide the result or if I'll just be ignored.
It's like, if quantum theory and relativity had been blocked by the
physics community because most physicists were fakes so that Einstein,
Schroedinger and Heisenberg had to get creative to get the truth out.
I am being creative but I realize the future still is in doubt.
They will hide the truth because they see truth in mathematics as
their enemy.
The mathematical field was corrupted. And the future of the human
species is in danger as a result.
Continued scientific progress is in doubt if the problem is not
addressed as correct mathematics is crucial to it.
James Harris
.
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