Re: JSH: Kind of weird, eh?

jstevh@xxxxxxx wrote:
Tim Peters wrote:
[jstevh@xxxxxxx]
I find a couple of things strange about the simple factoring solution I
found:

*It is very simple.

*Apparently, no one discovered it before.

*And you people are still trying the keep quiet thing with it.

If you would _try_ this method, you'd discover that you can't make it work
efficiently. That's half of why I don't care about it. I'm not going to
explain why you can't make it work efficiently before you discover for
yourself that you can't. Here's a hint: if you press on with the algebra,
you'll discover that in:

(b+a)*(b-a) = (k+1)*T

you always end up with these (or possibly the negation of the last two
swapped -- doesn't matter):

k+1 = (j - f_1)*(j - f_2) / T
b+a = j - f_2
b-a = j - f_1

Does there always exist an integer j s.t. 1 < gcd(j - f_2) < T? Of course,
but do you have an efficient way to find such a j?


I step through that in the post.

It's just about the quadratic residue. If you have your S, and factors
of S+T, then you get the quadratic residue.

There can only be two natural numbers less than T that multiply to give
that quadratic residue.

Like with 15, and S=1, using f_1=8 and f_2 = 2, you get 6 as the
quadratic residue modulo 15.

Well, there are only two answers less than 15 that will give you 6 as a
quadratic residue and they are 6 and 9.

That's it. There are two.


Oh, you know, that is wrong. There are only two with prime T.

Cool. So maybe there is a quadratic residue search.

I don't know, I'm still not completely sure on this thing.

If the position of the math community will be that this method is
trivial and they can ignore it, then we'll see.

The clock is still ticking.

I say you people don't give a damn about mathematics "pure" or not, if
it doesn't suit your political needs.

If I win, and you wait, hoping, then you lose everything. Those of you
still in academia will see your departments torn apart, if they even
survive.

Your funding will be just about gone.


James Harris

.

Relevant Pages

  • Re: JSH: Kind of weird, eh?
    ... If you would _try_ this method, you'd discover that you can't make it work ... It's just about the quadratic residue. ... the community is full of cons. ... them clearly HATE mathematics, so they must just use it for their own ...
    (sci.math)
  • RE: Bank Exploit
    ... Subject: Bank Exploit ... such as - how did you discover the vulnerability in the first place. ... I don't agree with keeping quiet either... ... Notify the bank's incident response team / security staff, ...
    (Security-Basics)
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