Wednesday, June 21, 2006

 

JSH: Still retired

My last big idea was to use

S = (k_1*sqrt(x) + k_2*sqrt(y))*(k_3*sqrt(x) + k_4*sqrt(y))

on the factring problem, relying on the reality—the absolute mathematical fact—that the expressions CANNOT have a single factorization.

There is no debate on that point.

It just cannot only factor S.

That's it. I haven't even bothered to step out a solution of the damn thing, relying on the posted work of Tim Peters.

I'm done. The big ideas are for young people. That was my last big idea.

But I can follow through on it and on my other ideas—or help others follow through.

Maybe it's crap. Maybe algebra is some odd little thing that just wishes to protect humanity from the factoring problem being this dinky nothing, so it will fight ot make sure this approach doesn't work.

I don't think so, but I say it like that because some of you may have no clue about what mathematics is, so you probably suppose that because a LOT of people are invested in this factoring thing, no way the math can show them to be wrong.

But you see, the math doesn't care.

People are wrong about all kinds of things. It's just kind of a human thing—being wrong.

If you trust, then you can just jump to the conclusion of posters who leap at replying to me, to see what their opinion is.

I suggest instead you look to see what their math is.

Right now I am sitting in the United States contemplating a war started by the son of a president, a president who was ridiculed for not finishing with Iraq. That president was also ridiculed for saying he wouldn't cut taxes and then doing it later.

Seems to me his son just went to the big areaa his father was criticized on, and decided he'd fix it, in his own mindless way.

That's the real world. People do weird things, and then a LOT of other people support them on it, as that's what people do.

But mathematics IS pure in that no matter what, no matter how many people get together to decide something that is false is true, you can trace out the logical argument, and find a flaw.

And it doesn't matter if it's the son of some dude who wants to make good on what he thinks his father failed on—no matter who dies.

Mathematics IS pure. But you have to know where the purity actually is.

It's not in the value or usefulness that some people put on it, but in the reality of absolute truth.

[A reply to someone who asked whether or not James could factor 6816852827 using his discoveries.]

Probably, but I do not care to try. I have some earlier stuff from WAY back that did not lead to a way to crack RSA, so I dropped it. It could handle such a dinky number, but it is not worth the effort.

Hey, I come up with ideas. My last big idea was that maybe this surrogate factoring thing could work with an expression that could not represent a single factorization:

S = (k_1*sqrt(x) + k_2*sqrt(y))*(k_3*sqrt(x) + k_4*sqrt(y))

That expression cannot be a single factorization because of the square roots as there is a positive and a negative solution to a square root, for instance, sqrt(4) is 2 or -2, because

(-2)(-2) = 4

It is a simple idea but mathematicians are taught to only take the positive of the square root, routinely throwing away the negative as human beings prefer the positive.

I think that kind of narrow thinking deflected most people from considering such a simple expression as mine.

But do I have the energy to see if it can be made practical?

Nope. So I put it out there and see what other people do with it.

If nothing, fine. If you think it is a useless idea then do what any normal person would do, wander off.

But if it is a useful idea then someone in the world will eventually develop it, and I will not have had to do a thing beyond point out the obvious, to start the ball rolling.

That over $300k that RSA is offering in prize money is an incentive for other people around the world, not for me.

It means nothing to me.

But for some of you out there it can mean your life changes completely.

And that is the carrot that drives things from here on out.

I have no intentions of developing these ideas further, but will just discuss them as I have been doing.

If they work, I have no doubt that some hungry person somewhere in the world will do the developing, and take the money.





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