Chapter 133
"Already contributed to the "Mathematics Yearbook"? That's good, that's good..." Li Mingzhi nodded while hesitant to speak, as if he was a little absent-minded. It seems that he is still thinking about what method Zhou Ming used. To prove the twin prime conjecture.

Seeing Li Mingzhi's appearance, Zhou Ming smiled and said to him: "Dean Li, I have uploaded the draft of my thesis to arXiv. If you are interested, you can go to arXiv to have a look. But it's just been uploaded for a short time. Time, no one has gone to the forum to express their opinions, after all, this time is not enough for them to read the content of the paper in its entirety."

Hearing what Zhou Ming said, Li Mingzhi, who seemed a little absent-minded, was suddenly shocked. He looked at Zhou Ming with piercing eyes, and asked Zhou Ming excitedly, "Is what you said true?"

"That's right, it's true." Zhou Ming nodded.

Seeing Zhou Ming's reconfirmation, Li Mingzhi couldn't wait to stand up and said to Zhou Ming: "I don't have anything else to do now, why don't you go back first, I'll go to arXiv to read your proof process of the twin prime number conjecture .”

"That's fine. If Dean Li has something to discuss with me after reading it, I'm always welcome. I'm probably not as busy as I was before." Zhou Ming knew that since Li Mingzhi wanted to go to arXiv to read The proof process of his twin prime number conjecture must not be short, and he must have no time to talk to himself after investing in it, so he asked him to go back first, not wanting to waste his time.

Zhou Ming mentioned arXiv, which is the largest preprint website in the world. Many scholars will upload their pre-drafts to arXiv after their papers are written and submitted to journals.

You should know that papers are time-sensitive. For example, you have a brilliant idea, and you have done an experiment on this idea, and you have the experimental results.

You have a result, it is impossible to directly announce the conclusion, because you have no proof or the experimental process, others will not believe it, you must also explain how your result came about, so you need to write an article to explain that you got this result the process of.

After the paper is written, if you want to let others know and let everyone agree with your conclusion, you have to publish the paper so that others can verify whether your conclusion is correct and whether your experimental process and results are falsified.

However, when you submit your paper to a certain journal, it may be because it is not in the acceptance period, or because the review process is slow, or due to various other reasons, your paper may not be completed after you finish the experiment. The results are not published in those journals until months or even years later.

In this way, you will waste a lot of time in vain, and during this time, there is a good chance that other groups in this field have also reached the same conclusions as you and published results and papers before you.

Obviously it is the result of your research first, but in the end, because other people's papers are published before you, they will be pre-empted.

In this case, in order to prevent such a situation from happening, it is necessary to have a website that can let everyone know that you are the first person to think of this idea and get the results from the experiment before your paper is accepted by the journal.

So someone created arXiv, a free distribution service and website for open access articles in the fields of physics, mathematics, computer science, quantitative biology, quantitative finance, statistics, electrical engineering and systems science, and economics millions of academic articles.

In addition to being time-sensitive, arXiv can also prevent your idea from being plagiarized by others before the paper is included, which largely guarantees the originality of the paper.

In fact, this is the first time Zhou Ming has uploaded a paper to arXiv.

Because in order for your paper to be seen on arXiv, you also need to be endorsed by another person with accredited qualifications.

At the beginning, Zhou Ming was just an ordinary third-year student majoring in bioengineering at Metalworking University. Where could he find someone to endorse him.

After gaining fame, although Zhou Ming could find some people to endorse him, Zhou Ming didn't have much interest in it after that. This time, it was also because the meaning of the twin prime number conjecture was completely different from the few mathematical papers he had published before. , which uploads the pre-draft to arXiv.

After leaving Li Zhizhi's office, Zhou Ming didn't go back to his own office. It was getting late anyway, and it would be off-duty time soon, so he left the school directly and went back to his residence.

After Zhou Ming left Li Zhizhi's office, Li Zhizhi also found the paper on arXiv that Zhou Ming said he proved the twin prime number conjecture.

[There are infinitely many prime numbers p such that p + 2 is a prime number]

Zhou Ming proved that the title of the twin prime number conjecture is simple and rude. It is directly the twin prime number conjecture, but it is in English on arXiv. After seeing the title of such a paper, Li Mingzhi also directly changed it to Chinese in his mind.

After looking at the author's name and finding that it was indeed Zhou Ming, Li Mingzhi couldn't wait to open the paper.

The first page of the paper is the title, author names, and abstract.

"It is proved that..."

"As expected of you." When Li Mingzhi saw the first sentence of Zhou Ming's summary, he couldn't help but sighed to himself. He turned his head and looked at his office, and saw that Zhou Ming had indeed left, so he Turn your attention back to the computer screen.

The first sentence of Zhou Ming's abstract is "It turns out that there are infinitely many prime numbers p such that p+2 is a prime number." which methods.

"The sieve of Eratosthenes... Huh? How can you use geometry to prove the twin prime conjecture?"

When Li Mingzhi saw some of the methods mentioned in Zhou Ming's abstract, his expression remained normal at first. The methods Zhou Ming wrote in front are all common methods for studying prime numbers.

But after looking at the back, when he found that Zhou Ming had used a few methods that few people used to prove twin prime numbers before, the curiosity on his face gradually appeared. After he saw that the abstract even mentioned geometry , the curious look on his face became even stronger.

After reading the brief summary, Li Mingzhi couldn't wait to look at the table of contents, and then plunged into it, immersing himself in it.

When Li Mingzhi came back to his senses, it was dark outside, and he hadn't finished reading Zhou Ming's complete proof process.

"How does time go by so fast?" When Li Mingzhi saw that the sun outside had long disappeared, he looked at the time displayed on the computer and found that it was already past seven o'clock.

"It's been a long time since I watched a proof process so happily, and I'm a little hungry, I'd better go back and eat something first, and then read the rest later." At this time, Li Mingzhi's stomach also began to growl. He was going to have a full dinner, and even if he stayed up all night today, he had to read Zhou Ming's proof of the twin prime number conjecture.

At this time, Zhou Ming had already returned to his residence. He had already had dinner and was on the phone with his family.

It has been several months since Zhou Ming's parents felt that the house in their hometown was too small to accommodate the many people who came during the holidays, so they could only lay the floor. They began to build a new house in their hometown.

Since they wanted Zhou Ming to live in a new house when he came back from the Chinese New Year, they hired more people and built it quickly. Now that it has been built, it is ready to move in.

After chatting with his parents for a while at night, and later with Shen Qingqiu for a while, Zhou Ming went to bed early and fell into a dream.

And the late night in Hua Country is the daytime in the country on the other side of the ocean.

"Huh? It's interesting."

At this time, a professor at Princeton University in Princeton, New Jersey, on the east coast of the Ugly country was sitting in his office, in front of his computer, and opened his mailbox.

When the mathematics professor saw the title of a paper sent to him by the review editor in his mailbox, he picked up a cup of freshly brewed coffee from the side with a little interest, took a sip, and said to himself said.

The reason why I find it interesting is that every year so many people around the world say that they have proved the twin prime number conjecture, and their titles will mention twin prime numbers, but only this article directly uses the short content of the twin prime number conjecture as the title, as if This is not a conjecture, but a theorem in general.

When the professor took a sip of coffee and put the coffee cup back to its original place, he clicked on the article and saw the author's name on the first page of the article, but there was a surprised expression on his face.

"Why is this person again? He also has research on number theory?" The article the professor saw was the proof of Zhou Ming's twin prime number conjecture.

And this Princeton University professor drinking coffee is a member of the editorial board of the "Annals of Mathematics". The professor's name is Nicholas Katz. The Dichotomy of Steinian Functions" was also reviewed by this editor. He has a deep memory of Zhou Ming, an old acquaintance of "Mathematics Yearbook".

At this time, Nicholas Katz, who was only a little interested after reading the title, was already full of energy after knowing that Zhou Ming wrote this article. He first read the abstract, and then browsed the article. some titles.

"This article can be pushed to Peter Sarnak, who has done much more research on number theory than I do." Nicholas Katz only glanced at the contents of the first few pages of Zhou Ming's proof, and immediately thought of the future The paper was pushed to one of his colleagues, Peter Sarnak.

Peter Sarnak and Nicholas Katz are also an editor-in-chief on the editorial board of the Annals of Mathematics and a professor at Princeton University, but he is also chair of the Department of Mathematics at Princeton University and a member of the Institute for Advanced Study in Princeton.

This Peter Sarnak has made significant contributions to number theory and analytical problems motivated by number theory, and has achieved a lot.

He is not only the winner of the Wolf Prize in Mathematics in 2014, but also a member of the European Academy of Sciences, the U.S. National Academy of Sciences, and the Royal Society of London. He also holds an honorary doctorate from King’s College London, an honorary doctorate of science from the University of St. Andrews, and many other universities. .

After pushing Zhou Ming's article proving the twin prime number conjecture to Peter Sarnak, Nicholas Katz took another sip of the cold coffee and continued to read.

At this time, Peter Sarnak was leisurely looking at a document in the office. When he saw a letter sent to him by Nicholas Katz titled [There are infinitely many prime numbers p such that p + 2 is a prime number 】When I read the article, I was a little surprised.

Because since Nicholas Katz pushed this article to himself, it means that this article is definitely not that kind of nonsense, and it must have merits.

Interested, Peter temporarily stopped paying attention to the document he was reading just now, but clicked on the article sent to him by Nicholas Katz.

"Ming Zhou? Why does this name sound so familiar?" When Peter clicked on this article and saw Zhou Ming's name on the first page, he thought with some doubts. He began to recall where he was in his mind. Heard the name before.

Soon, Peter remembered why he found the name familiar.

"It turned out to be him, but none of his previous articles had anything to do with number theory. Why did he suddenly start studying the field of number theory? And the first thing he did was the twin prime number conjecture?"

Peter knew that Zhou Ming had submitted several papers to the "Mathematics Yearbook" before, but he only read the titles of those papers and did not read the specific content of them, because he could know that the papers published by Zhou Ming were different from the titles. outside the scope of his research.

However, Peter quickly put these doubts aside for the time being, because after reading the abstract of the article, his attention gradually shifted to the content of the main text, and he was quickly attracted by the content of the main text, and he did not want to be distracted by others. Things disturbed me and affected my thoughts.

……

The next day, after Zhou Ming woke up, everything was calm, and people on arxiv found his article one after another, but no one had read it in its entirety and verified it.

This morning Li Zhizhi did not come to Zhou Ming, which made Zhou Ming feel a little strange, because in Zhou Ming's view, after Li Zhizhi read his article proving the twin prime number conjecture, no matter whether he thought his proof was correct or not, he Will definitely come and find myself.

Zhou Ming's doubts only lasted until the afternoon, because Li Zhizhi did come to Zhou Ming's office to look for Zhou Ming in the afternoon.

"I wanted to stay up late last night to finish reading your proof process, but I didn't finish it until four o'clock in the morning. I took half a day off in the morning to catch up at home." Li Mingzhi came to Zhou Ming's office, After seeing Zhou Ming, he said to Zhou Ming.

"Staying up late hurts your health. Dean Li, you are now in an older grade. It is better not to stay up late. If you damage your health, it will not be worth the loss. My article will not run on arxiv. You can read it at any time, you don't have to do this Hurry up and read it." Zhou Ming immediately persuaded Li Mingzhi when he heard Li Mingzhi say that he stayed up late last night to read his article.

Li Zhizhi is 67 this year, and his physical resistance is no longer comparable to young people like them.

When Zhou Ming first got the simulator, in the first simulation he died suddenly in the middle of the night because he often stayed up late and other reasons. He didn’t want Li Mingzhi to be the same as him in the simulation, and if that was the case, Zhou Ming was also worried about Dean Li’s Family members come to find themselves.

"Oh, I'm old, so I can't stay up late. I think when I was young, I did research from dawn to dark, and then from dark to dawn, and finally just catch up on sleep. But now, I catch up on sleep. I feel that my body is still much worse than yesterday." After listening to Zhou Ming's persuasion, Li Mingzhi also nodded and said, his face was also a little haggard.

"I only read half of your article, and I haven't finished reading the rest. However, I feel a little uncomfortable when I wake up today, so I want to go out for a walk, and then continue to read your article." Li Mingzhi Said to Zhou Ming again.

Li Mingzhi said a few words to Zhou Ming and then left. He didn't say anything to Zhou Ming. After all, he didn't finish Zhou Ming's article. Will stay up late, or life is important.

(End of this chapter)

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