Sorry, i didn't address your suggestion. I don't put any complete algorithms in a computer of any type, not a phone. Windows, Android,and every other op system saves and shares your work in any program with the "mother ship" (software developers and hosts). Information security requires me to keep it in my head mostly. Kind of ironic that I claim to have answers that damage security, but i also am highly aware of that insecurity already existing by other means.
If you are a qualified buyer, and want to pay at least $24000, you can take one of the methods and check it yourself (there are more than one, but work on same principle). I don't put the algorithms in computers, so any checking above a 9 digit product will have to be done by someone else.
There is enough of a clue in the ebay description to figure it out yourself, maybe. It seems obvious to me since i already know the answer. I assume now that capable mathematicians can make the connections much faster than i did.
Let me know if you figure it out and factor your test number quickly.
Then again, i really don't care if you do, which I'd bet all my money and yours too that you won't figure it out.
Nope, no millenium prize solutions yet. Nobody pays for proof of Goldbach's now, and i HATE the "submit your work and we Might pay you years down the road."
I'm trying to get paid the old fashioned way, on ebay. If you want to get rewarded for something, the last thing you should do is give it away to the public, never mind the security issues involved.
You can check my other reply if you want to see the description of the basic model for attacking the problem, in the ebay listing. It turns out that the model is applicable to both one-way functions. I didn't realize that up front. Most likely some have already figured them out.
The math works. I already went through the doing challenge numbers with Ron Rivest; he just kept moving the bar. There has been one offer on ebay, but that person had no backing or ability to solve the problem, so i turned him down and blocked him. All of the countries/universities/companies who could do something discreetly with this problem have already been notified. Ron Rivest just emailed me and said "don't worry about it". Eh, no fun solving problems that are too troublesome; nobody want to pay either, but they sure want me to "share". There is actually enough in the ebay listing to work out the final methods, for those wgo understand the subject matter well.
Thank you for giving me an answer that nobody else seems to know. I have no idea if you're correct, since i haven't studied the halting problem, although i understand the general concept.