Chapter 178 Wang Hao: I just proved the conjecture in two ways
Simonson passed the compiled content to Tang Kai.
Tang Kai still had some basic skills. After receiving the content, he read it carefully and found that the content involved functions, number theory, analysis, etc.
Although he couldn't understand most of it, he still knew that it was an argument for a problem in number theory. Simonson said it was an idea to prove Goldbach's conjecture, and he didn't think there was much of a problem.
"Symerson probably won't cheat me. He just wants to make money."
"The content of this article is probably a scrap, or it belongs to him or a colleague. In short, it doesn't make much sense, so he passed it to me."
"If you can make a little money with scrap manuscripts, that would be really good..."
This is Tang Kai's understanding.
Tang Kai is still very cautious. When it comes to academic matters, it's hard to say whether there are any problems.
The last time I just solved an equation, it was a question asked by Wang Hao. He asked Simonson to help solve it, and there was no problem at all. He just pretended to have solved it himself.
It's different now.
This is a very complicated argument, and I can't even understand it.
Tang Kai simply handwritten a copy himself, and then found a professional website to check for plagiarism, and even logged into a foreign thesis website to check for plagiarism.
Nothing was found.
"It seems there is no problem!" Tang Kai was relieved immediately.
There is no problem with the content of this article, which means that no relevant paper has been published, and it should be a scrapped manuscript of the research.
"It should be like this. If we study in this direction, it will be inconclusive and it would be a pity to abandon it."
"So you sold it to me!"
This time he was sure.
After confirming it, Tang Kai immediately posted the content on the Internet and marked it with a sentence, "It would be a pity not to publish the scrapped manuscripts that I usually research. If I publish them, it won't make much sense. If you are interested, you can take a look!
"
After he finished sending the message, he suddenly felt a little excited.
This is the way to create a character.
There is relevant research under the account, so that everyone can have a clearer understanding of his academic profile. They will naturally recognize his professionalism and be more interested in other content he posts.
Even if not many people actually look at it, as long as people are established, what they say will be more authoritative.
This is the most important.
There are still some math people among Tang Kai’s fans, and the most advanced ones even have PhDs in mathematics.
After the news was released, many fans commented that they could not understand it, were not interested, etc.
But two people who knew mathematics looked seriously and made surprised remarks, "This blogger really has something!"
"This should be the idea to prove Goldbach's conjecture, right? This is the first time I have seen this idea."
“It’s awesome!”
"Although the proof is not complete, it still provides a good idea!"
Tang Kai looked at several professional speeches and suddenly smiled.
This is the result he wants, to establish the person and let everyone know that he is a mathematics professional.
"It seems that these two thousand dollars are well spent. Let's see the effect again. If the effect is better, I will transfer another thousand dollars to Simonson!"
…
Tang Kai's goal is just to establish a character to make him more professional in the minds of fans.
Others were also interested.
Mathematics research is really difficult, especially theoretical research. It is very difficult to publish a high-level SCI article.
For some mathematics professors, it is very difficult to achieve results in mathematical theoretical research.
Some scholars learned about Wang Hao's thoughts on the proof of Goldbach's conjecture, and after understanding some very detailed contents, they also developed other ideas.
"Continue to research along this line of thinking, and as long as there are some results, we can publish them."
"It is not necessarily necessary to prove Goldbach's conjecture, but to do research along this line of thought and provide a seemingly possible way to prove Goldbach's conjecture, that is the result!"
"If I can publish my results in a better mathematics journal, I might be able to apply for a project based on this..."
This is what some mathematicians think.
They immediately began to study seriously. Of course, research is not easy. They cannot submit the original content for a paper, but must continue to study on this basis to achieve some results.
Of course, it is not easy to make some small progress.
But no matter what, it is much easier to continue research along a good idea than to do groundbreaking research on your own.
Maybe, we can make progress in one month or two months?
In terms of mathematical research, the speed is already super fast!
at the same time.
Wang Hao was bored in the director's office, writing certificates carefully. He didn't come out for a week in a row and just stayed in the office working.
Normally, students would take turns bringing him meals.
Wang Hao brought six graduate students, and each graduate student helped deliver meals once, which would last for two days.
Zhang Zhiqiang, Zheng Yaojun and others will also help when they have time.
This week, Wang Hao's courses were all taken by someone. He felt that his train of thought could not be interrupted and he had to complete the research in one go, otherwise he might be delayed for half a day or a whole day.
After more than a week of continuous research, I finally successfully completed the thesis.
"Done!"
Wang Hao looked at the more than 30 pages of papers that had been typed into the computer, took a long breath, and couldn't help but smile on his face.
Then his expression became a little weird again.
【Task 2】
[Research project name: Proof of Goldbach’s conjecture (Difficulty: S).]
[Inspiration value: 85.]
"85 again?"
This is the source of the strangeness. In the process of continuous research, the inspiration value is still growing.
What will happen if it rises to 100 points again?
The knowledge and inspiration in his mind already had the answer. He initially thought of two ways to prove Goldbach's conjecture, and later one of the methods had corresponding inspiration.
In the process of writing the paper, inspiration for another method also appeared.
He knew the main direction of the proof, and then everything fell into place, and his inspiration value continued to grow.
In other words, he can also prove Goldbach's conjecture in another way.
"But what about the proof? Goldbach's conjecture is just a problem. It can be proved by one method. The second method should be meaningless."
"As long as you prove it in one way, the conjecture will become a theorem."
Wang Hao opened the office door with thought.
Zhang Zhiqiang was standing in the corridor when he found the door of the director's office opened and looked over in surprise.
Wang Hao walked out of it with a puzzled look on his face, as if he was confused about something.
Zhang Zhiqiang knew at a glance that Wang Hao must have encountered a problem in his research. He immediately asked, "Wang Hao, have you encountered any problems?"
"Um."
Wang Hao thought and nodded slightly.
Zhang Zhiqiang went over and patted his shoulder and comforted him, "It's normal to encounter problems in this kind of research. Just don't worry about it. Maybe you can make a breakthrough if you think about it occasionally. You are such a genius, don't worry."
Wang Hao continued to frown, and he suddenly asked Zhang Zhiqiang, "If I prove Goldbach's conjecture using one method, and then use a second method to prove it, is there any meaning?"
"..."
Zhang Zhiqiang was a little confused after hearing this, but he still thought about it, "Maybe... the second article is also research, but it doesn't have much influence? Can it be submitted as a small paper on another solution to a mathematical problem?"
"Can't I submit it to the top journal?" Wang Hao asked.
"No," Zhang Zhiqiang continued, "unless they are submitted together. If a top journal publishes a proof of a conjecture, no top journal will accept the next proof."
Wang Hao thought about it and continued to ask, "If we submit the manuscripts together, can both top journals receive subsidies from the school?"
"this……"
Zhang Zhiqiang had never thought about such a profound question. He hesitated and said, "Maybe, you have to ask Zhu Jianrong about this."
…
Wang Hao and Zhang Zhiqiang said a few words, then went out to walk around the school, and then went to the Science and Technology Department in the Academic Affairs Building.
In the office of the Science and Technology Department, he found Zhu Jianrong.
"Professor Wang? Fast forward!"
Zhu Jianrong was so enthusiastic about Wang Hao that he took the initiative to bring a stool for Wang Hao to sit on and asked, "Why do you have time to come here? Is there something wrong?"
"I don't go to the Three Treasures Palace for anything. I'm here for consultation."
"you say."
"That's it." Wang Hao asked directly, "If I publish two different papers in top journals at the same time, but they focus on the same problem, how many subsidies will the school give?"
"this……"
Zhu Jianrong was also stunned by this question. He hesitated and asked, "What is the research you are talking about...?"
"Goldbach Conjecture."
"Uh~~"
Zhu Jianrong's expression froze.
Next to him, Li Ming's mouth was half open and he didn't close it for a long time. He felt that he could no longer speak.
Research on Goldbach’s conjecture, published in two top journals?
What does this say?
Zhu Jianrong swallowed and said, "Well, this question, I think, if you prove Goldbach's conjecture, even if it requires three thesis subsidies, the school will definitely give it, and it will definitely give a bonus, so
Don’t worry about this problem.”
Wang Hao shook his head and said, "A subsidy is a subsidy, and a bonus is a bonus. These are two different things. Anyway, you mean there is no problem, right?"
"Uh, yes."
Zhu Jianrong nodded directly.
He feels that compared to proving Goldbach's conjecture, school subsidies are a completely trivial issue and do not need to be considered at all.
As for publishing two related papers, it feels more unrealistic than a dream, and it won’t be a big deal.
Wang Hao got the result he wanted, and suddenly felt that it was meaningful to write another proof.
He walked around the school, ran a few laps on the playground, exercised a little, went to have lunch at about the same time, and then returned to the office of the Mason Mathematics Laboratory.
the other side.
Zhu Jianrong thought about the question Wang Hao asked him. The more he thought about it, the more strange it became. He simply went to the laboratory building of the School of Science and found Luan Haiping in the dean's office.
He told Luan Haiping about the matter.
Luan Haiping called Zhou Qingyuan and several other professors to conduct an analysis together.
"I don't think it's good to ask Wang Hao directly about this matter. His mental state..." Zhu Zhen said and shook his head, "Maybe he is too obsessed with research. I feel like I have been thinking about this thing."
"He has been in the office for a week, and I heard from his students that he was just doing research."
"That office is pretty good. There are no problems. There are so many people in the laboratory, so there won't be any problems."
"I'm not worried about that. I just want to know what he means by asking these questions?" Zhu Jianrong brought the topic back.
Zhou Qingyuan said, "How about I call and ask?"
"No, no!" Zhu Jianrong immediately stopped him, "If you call and ask, will Wang Hao know that I am chewing my tongue? What will I say then?"
"……Right."
Now Zhu Jianrong came over to tell the matter out of concern for Wang Hao. It would not be good for Wang Hao to be dissatisfied with him.
Several professors discussed it and couldn't figure out the reason.
Later, I simply approached Zhang Zhiqiang.
After Zhang Zhiqiang came over, he was asked about the status of Wang Hao's research. He immediately shook his head and said, "Wang Hao also asked me this, but I am sure he has not completed the research."
"I saw that he was thinking deeply, as if he was a little distracted. I guess he encountered some difficulty."
He said it with absolute certainty.
Others nodded as they listened. They simply couldn't imagine using two methods to prove Goldbach's conjecture?
This sounds like a problem!
Finally, Luan Haiping analyzed the reason and said, "I know!"
"Wang Hao must have encountered a problem in his research. He found that this method could not prove it, so he thought of other methods."
"Later, I thought about the original method, and became curious about whether I could publish two proofs..."
"So I just asked, and we don't want to over-interpret it."
Everyone else nodded.
That makes sense!
Maybe they over-interpreted it. Wang Hao was just interested in asking, what's so strange?
…
After Zhang Zhiqiang left the laboratory building of the School of Science, he returned to the office in the complex building and couldn't help but talk about it with others.
Yan Jing's judgment was the same as Luan Haiping's, "Maybe he's just curious? He was so focused on research that he couldn't figure out some questions, so he might have gotten into trouble and thought of another question and wanted to know the answer."
Luo Dayong said, "Why don't you think about it, what if Wang Hao really thought of two methods?"
He also smiled as he said it.
He just mentioned a possibility, but even he found it difficult to believe it.
Zhu Ping said, "I don't care about this."
"Why?" Everyone else looked over curiously.
Zhu Ping said matter-of-factly, "What do you think this is? Wang Hao is concerned about publishing papers in top journals and whether he can get two subsidies."
"What about me? I can't even write an SCI article, and I'm still worrying about what to write for my doctoral thesis!"
The others sighed neatly.
That makes sense!
This is something that "ordinary people" can't care about at all. Anyway, they can't publish two top-notch papers in one go.
Zhu Ping looked at Zhang Zhiqiang and asked, "By the way, Zhang Zhiqiang, I remembered one thing. Do you still need people in your Mason Mathematics Laboratory?"
"You want to join?"
"yes."
Zhang Zhiqiang was puzzled, "Why? You are studying for a Ph.D., and the most you can do to come to our laboratory is to get a subsidy. It is completely unnecessary, right? And you are currently working on a project, so you are very busy."
"It doesn't matter if you're busy. It doesn't matter if you don't have money. Dean Chen suggested that I go to your laboratory. He said you have big projects."
"Does this matter?" Zhang Zhiqiang looked puzzled, "This is not a physical experiment, it is a project, just like the nature of work in a software company."
"The main core content must have nothing to do with doctoral students. When the time comes, you will have been busy for a long time, but you still have to think about your doctoral thesis by yourself. Even if you enter the laboratory, you will still be doing the research alone?"
Zhu Ping was stunned for a moment. After she realized what she was doing, she gritted her teeth and said, "So the trap is here!"
"I was just wondering why old man Chen kindly suggested that I go to your laboratory. Now I know!"
"He definitely didn't want to take me with him, I was almost fooled by him!"
Seeing Zhu Ping baring her teeth and claws in anger, other people in the office couldn't help laughing.
…
Wang Hao has completed the first proof method. After returning to the laboratory, he continued to "retreat".
He already has a reason to make the second proof.
One is a teaching coin.
Each S-level achievement can increase 3,000 teaching points.
The second is the school subsidy. A paper in a top journal can receive an additional subsidy of more than 200,000 yuan.
In addition, he also found it interesting to use the second method to prove it.
The second method is not the covering method, but the method of establishing the center line. The method is straightforward and crude.
First, consider the number n as the central number of the big even number S, that is, n is equal to the big even number divided by two.
If the number n is a prime number, the corresponding even number can naturally be expressed as the sum of two prime numbers.
If n is not a prime number, take n as the center line and find all the previous prime numbers p, p1, p2...
Then find the corresponding S-p, S-p1, S-p2...
Then start the analysis.
As long as S-p, S-p1, S-p2... contain a prime number, it is enough to prove that any large enough even number can be decomposed into the sum of two prime numbers.
This method is still very difficult to analyze, but overcoming the difficulties, the proof is actually easier than the first method.
Wang Hao was very patient in his research and even read two papers for inspiration.
It took four days to finally complete the proof.
This paper is 25 pages long.
"Another proof completed!" He looked at the computer screen with some excitement, then read it carefully from beginning to end, and submitted it after making sure that there were no problems.
First, he approached Bruce Pulitzer, the editor-in-chief of "New Advances in Mathematics".
"Bruce, I have a research paper here that you will definitely be interested in."
Pulitzer immediately replied, "What paper?"
"Goldbach Conjecture."
"..."
Pulitzer seemed to have digested the information for a long time, and it took him a long time before he replied, "Upload it and send it over."
Wang Hao happily ended the conversation with Pulitzer, and then found Fayes Leibniz, the editor-in-chief of Acta Mathematica Sinica.
Leibniz sent him several emails, seemingly trying to 'dig' him into Acta Mathematica.
Wang Hao has published papers in Acta Mathematica, but he has only published one study on the Monge-Ampère equation.
A big problem with "Acta Mathematica" is that it is a quarterly journal, with one issue only every three months. The number of papers published is too small, and it usually takes a long time to wait until publication.
Wang Hao noticed that the new issue of "Acta Mathematica Sinica" will be published next month, and decided to submit an article.
He first asked a question, "If I publish a very influential paper, can I jump in and publish it next month?"
Leibniz immediately replied, "No problem!"
Wang Hao simply called Leibniz and asked, "Are you sure you can publish it next month? There is only half a month left from review to publication."
Leibniz affirmed, "If it is a major research, of course you can jump in and publish it. Dr. Wang, don't worry, there are many top mathematicians around the world who are willing to help us with the review work."
"All right."
"What research?"
"Goldbach Conjecture."
"..."
Leibniz made sure and asked, "You're not joking, are you, Dr. Wang?"
"Of course." After Wang Hao finished speaking, he added, "By the way, it's best to publish it next month, because I also submitted a manuscript for "New Advances in Mathematics."
Leibniz was shocked when he heard this, "Submit more than one draft? This is not allowed!"
"Of course not." Wang Hao explained, "I used two methods, two completely different methods, so I submitted them to two journals respectively."
Leibniz was silent for a long time and then said, "Now I am sure you are joking."