Chapter 168 The Wind Rises in Princeton
Mersenne Primes.
This mathematical term may not be known to many people who are not familiar with it.
But as long as you have been exposed to mathematics, you will definitely know this term.
When it comes to Mersenne prime numbers, Zhou's guess is put together with them.
This conjecture was proposed by a professor at Yixian University in China in 1992. He published the "Distribution Law of Mersenne Prime Numbers". It was through this paper that the Mersenne prime numbers had a more accurate expression, which helped people find this A prime number provides convenience.
As a result, this major result was internationally named "Zhou's Conjecture".
The content of this guess is: when 2^(2^n) Not only that, Professor Zhou also made an inference based on this: when p<2^(2^(n+1)), Mp has 2^(n+ 2)-n-2 are prime numbers. Unfortunately, this guess is just a guess, not a theorem. It is because of this speculation that no one has been able to prove it until now. Once proven, another pearl in the world of mathematics will be taken away, and it will be one step closer to proving the Riemann Hypothesis. Wang Donglai in the hotel, after turning on [Brain Overclocking], so much information naturally appeared in his mind. Among them, there is valuable information and some worthless information. Up to now, only 48 Mersenne primes have been discovered by the mathematical community around the world. The most recently discovered Mersenne primes were discovered by a research team led by Curtis, a bald eagle professor of mathematics at the University of Missouri. The largest Mersenne prime number is "2^57885161-1". This prime number has 17,425,170 digits. It is the largest prime number currently known. If this huge number were written down continuously in ordinary font size, its length would exceed 65 kilometers!
In the beginning, the search for Mersenne primes was just to find perfect numbers. But since Mersenne made his famous assertion, especially since Euler proved the converse of Euclid's theorem about perfect numbers, perfect numbers have been just a 'by-product' of Mersenne's prime numbers. Looking for Mersenne prime numbers is not only the most effective way to discover the largest known prime number, but also an effective way to test the computer's computing speed and other functions by looking for Mersenne prime numbers. For example, M1257787 of that year was the one that died in September 1996. Eagle Cray found it while testing the computing speed of its latest supercomputer. Promote the development of number theory, the Queen of Mathematics, and promote the development of computational mathematics and programming technology. And it also has a very high value in the practical field and is used in the field of modern password design. The principle is very simple, that is, it is very difficult to decompose a large number into the product of several prime numbers, but it is much simpler to multiply several prime numbers. When designing a password, you need to use larger prime numbers. The larger the prime number, the greater the number. The less likely the code will be cracked. The Mersenne prime numbers have promoted the development of contemporary computing technology, cryptography technology, programming technology and the application of fast Fourier transform, which can be said to be of great significance. So, many scholars around the world have been working hard to prove Zhou's conjecture, and thereby find the distribution pattern of Mersenne prime numbers by proving Zhou's conjecture. Right now, Wang Donglai’s head is running crazily like a small supercomputer. …… When Wang Donglai was in the hotel, he turned on [Brain Overclocking] to analyze Mersenne prime numbers. Deligne also started his own actions. Originally, inviting Wang Dong to carry out academic exchanges was just a routine and not a grand event. But after talking to Wang Donglai once, Deligne felt Wang Donglai's confidence. After thinking about Wang Donglai's achievements, Deligne made a bold decision. Set a stage for Wang Donglai. Invite the academic community in your own name to add fuel to this academic conference.
Sure enough, after Professor Deligne spread the news, it immediately attracted a lot of people's interest in this academic conference. The academic conference time was naturally postponed. The next day, when he learned about this from Hanhua, Wang Donglai was just a little surprised and didn't care. "I heard that Princeton put your academic report as the finale. How about it? Are you confident?" Hanhua asked with a hint of excitement. Since Wang Donglai graduated, Hanhua's attitude towards Wang Donglai has also changed. He has become more cordial and less pretentious about his status as a teacher. “I asked around and heard that Professor Deligne personally issued the invitation, so there will be many big names at this academic conference. This is an academic conference hosted by the Institute for Advanced Study in Princeton. No one I don’t know if there is any new development due to Deligne’s sudden invitation.” Yang Wanpeng sat opposite Wang Donglai and speculated aloud. After hearing Yang Wanpeng's words, Wang Donglai suddenly had a feeling that the reason for such changes might be because of himself. However, he did not say anything, but remained calm. "Two teachers, if you have anything to do, just go and do it. I have just had some inspiration in the past two days and may have to stay in the hotel. If you go out, be careful not to be too late. Talent, don't go to places with few people, and don't..." When Wang Donglai was telling the two people what they needed to pay attention to, Han Hua and Yang Wanpeng interrupted them. “These are things we should have ordered you to do, but why did you order us instead?” "We are relieved that you don't leave the hotel. As for us, you don't have to worry." Nodding, after chatting with the two for a while, Wang Donglai returned to the hotel and continued to prove Zhou guessed. The exact formula for the distribution of Mersenne prime numbers.
This task seems difficult, but it is actually very difficult. Even with the use of supercomputers, it is likely to take several years to find a new Mersenne prime. Otherwise, with the powerful computing power of current supercomputers, I am afraid that the distribution pattern of Mersenne prime numbers would have been found long ago, and it would not be the case that more than forty Mersenne prime numbers have been found only now. As long as Zhou's conjecture is proved, we can make a big step forward in the task of finding the distribution law of Mersenne prime numbers. After all, Zhou's guess has not been completely proven, and we don't know whether this guess is accurate or has major flaws. If Zhou's guess is true, then Zhou's guess can become Zhou's theorem. A mathematical theorem named after a Chinese. Like Wang Donglai's proof of Wang's theorem, it has left its name in the history of mathematics and will appear in mathematics textbooks in the future. "Sure enough, none of the abilities given by the system are useless!" I sighed in my heart, and the reason for such emotion is because I first obtained [mental arithmetic] ] ability, Wang Donglai was still a little disdainful of this ability, but the further he went on, the more he could feel the abnormality of this ability. Just like this moment, when it comes to proving Zhou's guess, the [mental arithmetic] ability plays an absolutely no weaker role than [brain overclocking]. In Wang Donglai's room, it is not covered with scratch paper like other mathematicians, and he uses a lot of calculations to verify his ideas. However, due to the energy consumption of [Brain Overclocking], his progress was not very fast. In his estimation, it may take some time to prove Zhou's guess and know whether Zhou's guess has really discovered the distribution law of Mersenne prime numbers. If it is true, this will not affect Wang Donglai's mission. Because the task he received was the precise formula for the distribution of Mersenne prime numbers, and Zhou's guess was just a rough formula.
The two do not conflict. At most, they may take away some of Wang Donglai's achievements and aura when reporting. After all, only a small number of people know mathematics, and even fewer people can clearly understand mathematical knowledge such as Mersenne prime numbers. They will only see that Professor Zhou proposed a rough formula 21 years ago, and Wang Donglai just stood in the footsteps of giants and made this formula precise. Wang Donglai doesn't care about this. So, in the next two days, Wang Donglai could not leave the hotel room, and even had his meals brought to his door by the hotel waiter. Spurred by generous tips, the waiters naturally had no objections and served a high-calorie and high-protein meal on time and as ordered. Han Hua and Yang Wanpeng also took a look at Wang Donglai in the middle. When they saw his obsessed face, they did not dare to speak loudly and left the room for fear of disturbing Wang Donglai. …… Three days passed in a blink of an eye. Hanhua and Yang Wanpeng dragged Wang Donglai out of the hotel room. In the past three days, Wang Donglai could be said to have worked tirelessly to prove Zhou's guess. Every time he recovered his energy, he turned on [Brain Overclocking] again to think. Because his physique has been increased to 11 points, his recovery ability is extremely strong. Faintly, Wang Donglai also felt an inexplicable change in his physique, which showed that he was full of energy and had a strong recovery ability. Even with such a change, Wang Donglai's three days of sleepless thinking had made him unkempt and no longer as handsome as usual. Hanhua and Yang Wanpeng also dragged Wang Donglai out of the hotel because of this. This is not only to let Wang Donglai relax, but also to prevent Wang Donglai from missing this academic conference.
Faced with the kindness of the two people, Wang Donglai did not refuse, so he packed up and followed the two people to the place where the academic meeting was held. “It is indeed a little different here abroad than at home!” Walking on the road, Yang Wanpeng sighed in a low voice. Hanhua did not agree with Yang Wanpeng's statement. At this time, he refuted it and said: "There are differences, but the gap may not be really big. There are problems in the domestic academic circle. This There will definitely be some, because this is human nature." "As for the others, it is because the domestic environment is different from here, so these cannot be generalized." After hearing Han Hua's rebuttal, Yang Wanpeng was about to say something more when he heard Wang Donglai's voice. "Teacher Han is right. In fact, human nature is the same no matter where it is. Our country's academics can catch up in just so many years. It must have its own advancements and is not without merit. There will naturally be advantages as well as shortcomings.” “Overseas, it is impossible to be a pure land, or as long as there are people. There can be no pure land in this place. It’s just that we don’t have deep contact with them. In addition, they have a strong say and many filters, and we only came here for a short time, so we didn’t notice their shortcomings.” In fact, at the moment, the Western filter is still very strong. Through its powerful propaganda capabilities, it promotes the advancement and superiority of the bald eagle to the world. Even after those special three years, when the Western filters were all over the place, there are still a large number of people who still have a longing mentality and yearn for the bald eagle. After Yang Wanpeng heard Wang Donglai's words, he frowned slightly and fell into thought. Seeing this, Hanhua didn’t say much. While talking, the three of them also arrived at the place where the academic conference was held. Please support... (End of this chapter)