Showing posts with label Riemann conjecture. Show all posts
Showing posts with label Riemann conjecture. Show all posts

Sunday, March 27, 2022

The laptop computer broke in 53 hours an encryption code, which prevented to deny the quantum-computer attack.




This thing shows the weakness of quantum computers. The error handling and disturbing handling are not yet effective enough. And another thing is that quantum computers are not so usual things that they will turn to regular tools for programmers. 

The thing is that there are no programmers on Earth who have so-called large-scale experience of working with quantum computers. So without error-handling. There is a large number of errors in the program code and algorithms. That is made by using quantum computers. 

What part of the broken algorithm was made by using the quantum computer? That thing is not mentioned in the news. That is linked below this text. The fact is that the encryption codes that are made by using binary computers are useless against the quantum computer. 

There is the possibility that quantum computers are used only to generate the prime number that is used in the encryption process. If the algorithms are made by using binary computers. There would be no problem for breaking it with a quantum computer. 


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The zero-point in the Riemann hypothesis causes the re-estimation of the encryption that uses prime numbers. 


The computers are using Riemann conjecture that is also known as Riemann conjecture for that purpose. There are zero points in that conjecture or "Zeta function". So there should be found some other way to create prime numbers. 



Image: Zero-points in Riemann hypothesis. 


"The real part (red) and imaginary part (blue) of the Riemann zeta function, along with the critical line Re(s) = 1/2. The first nontrivial zeros can be seen at lm(s) = ±14.135, ±21.022, and ±25.011". (Wikipedia/Riemann hypothesis)

Even if there is a zero-point in Riemann's conjecture in the point Re(s) 1/2. There is a possibility to generate prime numbers by using this formula. If there are only a couple of zero points. Into the program code must just involve a command. That denies using of those points. ("Don't use the point Re(s)=1/2)" would be the command). 

But as you see from the film at the top of this text there are five zero points in the Riemann zeta function that is also known Riemann hypothesis and Riemann conjecture. There is the possibility that there are more zero points. And if the Riemann Zeta function is used in the encryption algorithm. Those points should involve to "don't use list". 

But in higher-level encryption that is needed in the most secured data transmission, there is the possibility that Riemann conjecture or hypothesis is not enough to reach the Pretty Good Privacy level in the highest secured data transmission. 


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The hacker cannot predict time what breaking the algorithms takes. 


When we are thinking that the hacker uses 53 hours to crack some algorithm we must remember one thing. Before the code-braking process, the hacker cannot predict how long that process takes. So when the code braking process begins the system can handle that problem from one minute to 10000 hours. And as you see code-braking requires patience. 

But maybe quantum computers are not very common systems yet. Yet those systems are not creating the large-scale risk for the things like crypto-currencies. Those computers are in well-guarded laboratories. But in the future, the situation will change. 

The quantum computers turn more common. And those systems turn private-owned. Also, the experience of programming and error-handling in quantum computing will advance. And that makes it possible that quantum computers will scale themselves across the internet. When we are thinking about quantum computers. They will repeat the history of computers. The first computers were in laboratories. 

And they were used by very highly trained people. But then those systems turned more common, cheaper and finally, even ordinary people could find those things. The Apple's Lisa and IBM PC (Personal Computer) was the first breakthrough for computers. The second breakthrough was the pocket-size mobile devices or "smartphones". That allows people to be connected to the internet all the time. 

And then we might think that the quantum computers are following this way. Maybe sooner than we think we can see the quantum-personal computers in the supermarkets. 


https://english.elpais.com/science-tech/2022-03-24/using-just-a-laptop-an-encryption-code-designed-to-prevent-a-quantum-computer-attack-was-cracked-in-just-53-hours.html


https://en.wikipedia.org/wiki/Riemann_hypothesis


Image:https://en.wikipedia.org/wiki/Riemann_hypothesis


https://miraclesofthequantumworld.blogspot.com/

Thursday, November 25, 2021

Riemann hypothesis (Zeta-function or Riemann's Conjecture) is solved. And that causes the biggest vulnerability problem in the history of the Internet.

Riemann hypothesis (Zeta-function or Riemann's Conjecture) is solved. And that causes the biggest vulnerability problem in the history of the Internet. 



The real part (red) and imaginary part (blue) of the Riemann zeta function along with the critical line Re(s) = 1/2. The first nontrivial zeros can be seen at Im(s) = ±14.135, ±21.022 and¨, ±25.011. (Wikipedia, Riemann hypothesis)

Riemann's Zeta-function has non-trivial a zero-point if the value is 1/2. That means there is a sequence in that formula. And that sequence is the greatest vulnerability on the internet. The Riemann's Conjecture is solved in 2016 but the person would not get the prize of million dollars for solving the Millenium problem because there was something wrong with proof of that problem. 

If we are thinking that one of the most important mathematical formulas, the Riemann's Zeta function or Conjunction has zero points. That thing means that entire RSA encrypting must be made again. The fact is that nobody believed that over the 160 years old mathematical formula could produce prime numbers forever. 

In Riemann's conjecture are the non-trivial zero points in the points The real part (red) and imaginary part (blue) of the Riemann zeta function along with the critical line Re(s) = 1/2. The first nontrivial zeros can be seen at Im(s) = ±14.135, ±21.022, and ±25.011.

And the time of the quantum computers is making the old, prime number based solution where Riemann's conjecture is used for generating the prime numbers old-fashion. In the RSA encryption, the system will multiplicate the ASCII codes by using the prime number. And Riemann's conjecture is used as the generator, that creates the prime numbers for that purpose. The thing is that quantum computers can break any code that is made by using a primary computer in minutes.  

And when we are thinking about the ultimate calculation power of the quantum computer it can break traditional encryption simply by using brute force. The quantum computer would just drive the Riemann's conjecture again and again. And then it just tests all the prime numbers for the encrypted material. The thing is that the quantum computer can make in minutes the series. 

That is taking thousands of years if the attacking system would be the primary computer. And that means no system is safe without depending on is there zero points in Riemann's conjecture or if there are not zero points. The fact is that binary computers are useless against quantum computers. But the Riemann's conjecture is partially solved. There might be a zero point if the value is 1/2. But if we are thinking. 

Those systems secure the data flow created billions of prime numbers by using Riemann's conjecture. The one zero point means nothing for the regular user. If there is one zero point. The system would get the order to avoid that point or values got by using the value 1/2. 

But the fact is that the zero point in Riemann's conjecture is not confirmed, by the way, that the result is mathematically accepted. But there is a strong suspicion that Riemann's conjecture has zero point in the point of value 1/2. 

https://www.insider.com/riemann-hypothesis-solved-by-sir-michael-atiyah-after-160-years-he-says-2018-9


https://theprint.in/science/riemann-hypothesis-161-yr-old-math-mystery-hyderabad-physicist-is-waiting-to-prove-he-solved/692466/


https://en.wikipedia.org/wiki/Riemann_hypothesis


Image:https://en.wikipedia.org/wiki/Riemann_hypothesis


https://thoughtsaboutsuperpositions.blogspot.com/

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