Chapter 213 Riemann Hypothesis and Cryptography Before, when everyone saw the performance of C8, they subconsciously felt that it was a bit unreal. There was already a lot of news on the Internet, because Lu Shan’s shipments in Huaqiangbei had reached tens of thousands, and someone must have done tests and written articles about it. But the performance of the companion silicon C8 was so outrageous that everyone just laughed it off. However, this time the article was written by Mu Hua, and it also included relevant test data and photos, which were similar to the test results that had been seen sporadically on the Internet before, and its credibility increased dramatically. After testing the Companion Silicon C8, Mu Hua received the Fuxi K1 sent by Jiyue Company. Ji Yue packaged K1 in an exquisite box and attached a letter of thanks, thanking Mu Hua for continuously creating excellent articles. K1 is a reward for top outstanding authors. The K1 awarded is not the released version but a beta version that is currently being tested. Simply put, the version produced when the early production process is still being debugged will definitely be better. Muhua was excited now. He didn't expect that there would be such a reward for writing an article on the website! Mu Hua tested Fuxi K1 and was surprised by the result. It was a very ordinary configuration, but it ran very fast. Speed is one highlight, and system optimization is another highlight. The operating system of Fuxi K1 is still Windows, but this version of Windows feels particularly comfortable. Many highly professional software can run, and many demanding mainstream games can also run smoothly. "Something is wrong. Except for the memory, everything else on this Companion is mediocre! How can it run these software? Is it because of the Companion C8?" After Mu Hua had this idea, he immediately dismantled the Companion C8 and replaced it with several memory sticks of the same size. They were all from big brands, not small brands.
Once it's running, it's simply unbearable to watch! Not only has the boot time increased significantly, but multi-threaded tasks are also stuck, making it impossible to play high-end games - I can't play demanding software or games. "It's really because of the memory stick! The hardware is still the same hardware, and the system is still the Windows system, but the potential has been completely stimulated." Mu Hua compiled a test report of the entire test process and posted it online. This time the effect was even stronger. In addition to Jiyue Company's conscious promotion of the Shenchuan computer, many technology bloggers also joined the evaluation, and the results obtained were almost the same. As a result, the consumer group is completely unable to sit still. "You can play AAA games with such a crappy system! Are you dreaming?" "I must buy the Shenchuan computer! With such low configuration, the price must not be expensive!" "The appearance is so cool, and the logo has a classic style. The appearance of the notebook is much more fashionable than the ugly ones before!" Especially the student group, they are the most active group on the Internet and the most sensitive to new products. They have played the greatest role in promoting the Shenchuan Fuxi K1. What's funny is that these students didn't even eat a single bite of the ads placed by Lianxiang. Which student has time to watch TV? Or read magazines or newspapers? There are so many ads on the roadside, who can read them? Those who didn’t go to college don’t even have time to sleep because of the college entrance examination, so how could they have the time to care about these things? Young people who are in college or even working, look at the world with their computers in hand, and they are completely unrelated to traditional means of communication. In this way, relying on the publicity and discussion of individuals on the Internet, the number of searches for Shenchuan surpassed that for Lianxiang. In fact, this is not entirely a problem of promotional methods, there are also big problems with the positioning of the product itself. Lianxiang has always advertised itself as a high-end product, and its prices are notoriously expensive! You can tell by looking at the configuration, why else do you need to look at anything else? The Shenchuan laptop is not very well-known. Most people have heard of it but have not used it. Just looking at its configuration, you can tell that it must be cheap. The prices are incomparable, so students will definitely choose the cheap and easy-to-use ones. The most damaging thing is that some people actually conducted simultaneous tests on two brands of laptops. The testers were also smart. They covered the labels and such, but everyone knew what the two brands were. The result was surprising. Even though the configuration of the Lianxiang laptop looked much more powerful, the actual measured results were not as good as those of the Shenchuan laptop.
There is no way. Memory sticks cannot be fully effective by simply putting them together to reach 8G, not to mention that the memory sticks of BanSi Company have extremely excellent logic. Memory sticks of the same memory size cannot beat BanSi's memory sticks. This trend quickly spread from person to person, and many people followed suit and started playing the comparison game. Shenchuan is compared with Lianxiang, Shenchuan is compared with HP, Shenchuan is compared with Toshiba, Shenchuan is compared with Dell, Shenchuan is compared with IBM... The test bloggers did not falsify any data and uploaded all the data truthfully. It is useless to falsify data. If you falsify the data while others do not, you will immediately ruin your own reputation. Besides, consumers know what the experience is like after purchasing the product, so what’s the point of bragging? After a round of testing, everyone was surprised to find that the Shenchuan computer equipped with the memory stick of BanSi Company, with a configuration of only four or five thousand yuan on the market, achieved the performance of seven or eight thousand or even tens of thousands of yuan of big brands! This is crazy. If you have Shenchuan computers, why do you need bicycles? Why do you need so-called international brands? At the beginning, it was intentional to guide the publicity. Later, netizens spontaneously promoted Bansi and Shenchuan Computer. Wu Jun also saw the self-media evaluation and online reports, and he knew that it was Lu Shan's work. I feel more at ease! In the final preparations for the release of the computer. Jiangzhou. Lu Shan found time to go back to school and report for classes. He was a graduate student majoring in mathematics at the School of Science of Jiangzhou University. He hadn't been to class for such a long time, and it didn't seem right no matter how he looked at it. He had to study and pass the exam. There are not many graduate students majoring in mathematics, and even when students from different research directions take a large number theory class together, the number of students is less than 20. What was on the lecture was number theory. Teacher Fang was talking about number theory, and then he extended his talk to the Riemann hypothesis. “黎曼那篇论文所研究的是一个数学家们长期以来就很感兴趣的问题，即素数的分布。素数又称质数。质数是像2、3、5、7、11、13、17、19那样大于1且除了1和自身以外不能被其他正整数整除的自然数。这些数在数论研究中有着极大的重要性，因为所有大于 1的正整数都可以表示成它们的乘积……” Teacher Fang saw Lu Shan, who had never attended class before. However, he did not find it strange because Lu Shan's level was high enough to guide him. "Now, please let Mr. Lu Shan share his views on the Riemann hypothesis!" Teacher Fang called out the name, and everyone started discussing on the spot. Teacher Fang also called out the name deliberately because he knew that Lu Shan’s level was very high. Lu Shan can be said to be a prominent figure in Jiangzhou University. However, such a legendary figure has basically only been heard of but not seen. When I saw him today, I realized that he was really too young. "The definition of prime numbers is simple enough to be explained in elementary school, but its distribution is very worthy of study. It is now discovered that its distribution is in a special function, especially when the function takes the value of zero, a series of special points have a decisive influence on the detailed laws of the exponential distribution. This is the Riemann zeta function..." Lu Shan first talked about the basic overview of the Riemann hypothesis, and then talked about its specific significance. "Today, there are more than a thousand mathematical propositions in mathematical literature that are based on the Riemann hypothesis, and it plays an extremely important role in various fields." "As far as the modern Internet and computer age are concerned, I think the most important application of the Riemann hypothesis is in cryptography. Whether it is setting up a password or unlocking a password, it is inseparable from the understanding of the Riemann hypothesis. Whoever has a deeper understanding can take the initiative, and the opponent will find it difficult to escape the fate of being decrypted even if he passively upgrades the key." After Lu Shan finished speaking, Teacher Fang nodded secretly. This kid was indeed born to be a mathematician. After class, a graduate student named Luo Xuan came running to find Lu Shan, his eyes full of admiration. This person also became famous at a young age, but the topic he was researching was too difficult and he had not produced any results. This is also a common phenomenon in mathematical research. If it were so easy to produce results, everyone would be a mathematician. "Lu Shan, you just said that if we can control the generation and distribution rules of prime numbers, then we can reduce the difficulty of key cracking! In 1974, American mathematician Levinson proved that at least 34% of non-trivial zeros are on the critical line. However, now researchers have proved that at least 40% of non-trivial zeros are on the critical line through analysis and numerical calculations, which means that we can increase this proportion. Once we can stabilize the method, the Internet will have no secrets in front of us! " Looking at Luo Xuan's slightly weathered but excited face, Lu Shan knew that this guy must be specializing in this project. He may have achieved some small success but had not made a breakthrough for a long time. "So do you have any specific ideas about the Riemann hypothesis?" Lu Shan doesn't mind academic discussions, especially with a pure person. "I don't have any good ideas. Now it has been verified that more than 200 billion non-trivial zeros are on the critical line. It is impossible to estimate how many there are, but can we define a range based on existing cryptography and parse the key within this range?" Luo Xuan's words were puzzling, but Lu Shan understood.
To put it another way, assuming that there are countless non-trivial zeros, and human calculations have only found 200 billion, it does not mean that the key can use all 200 billion. The key is likely to be selected only from the first one million because of the limited performance of computers. "The premise of your assumption is that our computer computing power is far more powerful than that of our opponents, so your idea can only work against weak opponents, and is ineffective against the developed countries in the world." Lu Shan shook his head. "No, no, no! Based on the calculation model, I found that computers are actually limited in this area!" "Really? Then what is the specific scope of the restriction?" Luo Xuan was embarrassed all of a sudden: "I can't really say, because I just accidentally discovered that under certain calculation rules, some prime numbers cannot be selected, so I'm still studying..." People gathered around and some laughed at him, "Your guess is totally unreasonable! This is the first time I've heard of a limited number." "Don't waste Lu Shan's time!" Luo Xuan was anxious: "I didn't lie to you, I tried several theorems derived from the Riemann hypothesis, and then set and analyzed the password, but the computer model just couldn't select some numbers!" Everyone around was laughing at Luo Xuan, but unexpectedly Lu Shan spoke up: "Let's exchange contact information..." The people around stopped laughing. They thought Lu Shan was also crazy. (End of this chapter)