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Break prime factorization and the entirety of the modern banking system crashes and burns overnight.

For anyone that understands the truly gargantuan advantage they have against us with the banking system, their entire focus should be on code breaking if they have even a modicum of mathematics under their belt.

It would be the single biggest step toward victory that we could ever achieve, period.

Breaking factorization would likely be the beginning of the end for the illegal wars of propaganda and police state measures the u.s. government (and western nations) have been using against citizens for decades now.

In one single blow, breaking prime factorization, we could do more to change the course of western civilization, and throw off the banks than all other actions combine.

Break prime factorization and the entirety of the modern banking system crashes and burns **overnight.** For anyone that understands the truly **gargantuan** advantage they have against us with the banking system, their entire focus should be on code breaking if they have even a modicum of mathematics under their belt. It would be the single biggest step toward victory that we could ever achieve, period. Breaking factorization would likely be the beginning of the **end** for the illegal wars of propaganda and police state measures the u.s. government (and western nations) have been using against citizens for decades now. In one single blow, breaking prime factorization, we could do more to change the course of western civilization, and throw off the banks than all other actions combine.

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[–] • 0 pt

Roughly,

  1. if you get two huge prime numbers and multiply them together, you get another (VAST) number that can only (ONLY <--- this is the point) be broken into those two original prime numbers.

  2. If you know one of those two numbers, it is effectively instantaneous to find out the other one (Big Number/one-of-them) = the-other-one. If you do not know either of the numbers, it can take a looong time, possibly centuries, for an arbitrarily big computer to work the two number out.

  3. The "NOT" path in #2 is referred to as "prime factorization". Of course, this is not quite right - the number being "factored" into its two parts is not a prime number, it is the product of two primes. But that's the name, and it's close enough.

  4. So, you can distribute one of the numbers publically. You could then call it a "public key" say

  5. If both of the large-prime-numbers are used to encode a message, or some bank shit, or anything, then one of these large numbers can decode the message. This is what is happening when people share or give access to their public key.

  6. If only the one of the large-prime-numbers is used to encode a message, then only the only the person with the other-large-prime number can decode the message (other than if some bad-actor spends centuries, possibly, of supercomputer time)

Now,

  • if a (boo) the other team's or a (yay!) our team's guy (probably) worked out a way to quickly (in 3 minutes or in 9 milliseconds) break down VAST numbers into the two prime numbers (only) that had been multiplied to make that large number,

  • then this guy's team could in 3 minutes or in 9 milliseconds (plus some processing time), decode the banks' or warlords' or teenagers' messages that had used this VAST number (that was almost prime) to encode their messages.

The OP's remark was that this (current, supposed, hoped-for) inability to factor these VAST almost-prime numbers into their two really-prime factors was all that was stopping this supposed and assumed secrecy from being broken.

He then commented, like, imagine if "they" could, or had, already found a way to quickly "factor primes" (he meant, break a VAST number into its two prime parts) then "they" would be able to fuck the world and doom to everyone else, or something.

There is modern research into the patterns in prime number (we have always been taught that there are no short cuts)

See: https://www.zmescience.com/science/math/prime-numbers-crystal-lattice-17092018/

https://www.maa.org/meetings/calendar-events/patterns-in-the-primes

https://www.newscientist.com/article/mg19726481-500-has-the-riemann-hypothesis-finally-been-proven/

soo... who knows?

That should all make sense.

[–] • 1 pt

There's some details, like the 'mod' of the VAST number is used. This use of the 'mod' of the number also makes the operation essentially one-way. mod, or '%' is like 17 % 5 is 2 "seventeen mod five is two" because if you keep taking 5 away from 17, you end up with 2.

Note: if you have this '2', it is very difficult to get back to the 17. I mean, it could have been 489.

If the VAST number was tiny, like 1000 Trillion plus a few, and you took the mod of that number (say That number 'mod' one billion), you would end up with the "a few". It is then very difficult to get back to the 1000 Trillion plus a few - which you THEN have to factor.

This "mod" bit is usually forgotten, but it is key.

There are also things to do with being able to proove your identity using this kinda stuff, and also being able to do this stuff while your communications are completely spied on by bad guys.

[–] • 2 pts (edited )

To step out of character for a moment, "prime factorization (verb)" refers to the act of factoring an assumed non-prime number into primes, e.g the prime factors of 12 are 2 and 3, the prime factorization (noun) is 2 * 2 * 3 or 22 * 3. People since Eratosthenes have been working on primes and factorization. You nor I are likely to work out anything new but who knows? So, back into my bear suit, fuck this shit. The baddies will always find another way to keep the moola flowing away from us to them. Sitting working on encryption is time we could spend at target practice!

[–] • 1 pt

Hey, thank you for this very involved answer.

[–] • 1 pt

Whoa Thank you for that informed reply.