From University Lecturer to Chief Academician

Office of the Director.

Wang Hao looked at Qiu Hui'an with satisfaction and admiration. He patiently listened to Qiu Hui'an's explanation, and then asked, "Have you covered Chebyshev's theorem with this method?"

The Bertrand-Chebyshev theorem is a weakening of the Legendre conjecture.

The content is that if the integer n is greater than 3, then there is at least one prime number p, which meets the requirement that p is greater than n and less than 2n2.

There is also a slightly weaker statement that, for all integers n greater than 1, there exists at least one prime number p, which conforms to the fact that p is greater than n and less than 2n.

This problem was first proposed by Chebyshev, and later Chebyshev completed the proof himself.

The Legendre conjecture has not yet been proved.

Qiu Hui'an nodded and said, "I have covered Chebyshev's theorem with this method."

"However, if you want to cover Legendre's conjecture, you can't find a good entry point. The prime number intervals of Legendre's conjecture appear in a smaller range."

"And operations involving squares are much more difficult than simple addition and multiplication."

Wang Haodao, "Your idea is very good, really very good. I think it is possible to prove Legendre's conjecture with this method, and it can even be used to study Zhou's theorem."

"Let's analyze it together now."

"Your method covers Chebyshev's theorem, that's how it should be..."

As Wang Hao spoke, he began to write continuously on the paper. In just ten minutes, he wrote a complete proof.

Qiu Hui'an was dumbfounded as he sat by the side. He studied for half a month before completing this proof, and the previous thinking took more than a month.

As a result, Wang Hao just listened to the idea and wrote the proof.

"Teacher Wang, you are really amazing!" Qiu Hui'an said with a wry smile, "It's exactly the same as mine."

Wang Hao didn't care.

This time he really wrote the proof based on his own understanding, rather than relying on "The Gift of Teaching".

In related research, he is much deeper than Qiu Hui'an, and the proof of Chebyshev's theorem is also very simple, and there are even many ways to prove it.

He just thought of the method and completed the proof.

However, in the process of writing the proof, he found that the task inspiration value had increased by '1' again.

immediately.

He discussed with Qiu Hui'an more enthusiastically.

This is discussion, not teaching.

Wang Hao did not study Legendre's conjecture, but simply thought about it when he was guiding Qiu Hui'an.

He prefers that the students can complete the research by themselves, otherwise it is tantamount to him doing the research, not the students.

This is very important for the growth of students.

At the same time, Qiu Hui'an is indeed very good.

When discussing issues, Qiu Hui'an always came up with ideas, and he also gave Wang Hao some inspiration points by the way.

Wang Hao felt a little unbelievable. At the same time, he felt that Qiu Hui'an was a genius. He had a four-fold increase in inspiration from "The Gift of Scientific Research".

"It seems that he is not far from proving this conjecture." Wang Hao thought with a sigh.

He had discussed it with Zheng Yaojun before.

Zheng Yaojun felt that Qiu Hui'an could complete the proof of Legendre's conjecture during his postgraduate study, which would be very remarkable.

If the proof is completed within one year, it can definitely be described as a genius.

Legendre's conjecture is indeed a small conjecture, but the degree of smallness is only compared with Zhou's theorem. It is a difficult problem in number theory. It is quite amazing if a graduate student can prove it, even if it is completed under the guidance of a supervisor.

Wang Hao and Qiu Hui'an discussed for nearly an hour.

After Qiu Hui'an left, he quickly checked the mission.

【Task 2】

[R\u0026D project name: Proof of Goldbach's conjecture (difficulty: S). 】

[Inspiration value: 47. 】

"It's 47 o'clock!"

He didn't seriously do the research on the Goldbach's conjecture proof. He really took the mentality of going with the flow, and the inspiration value could increase a little, and it didn't matter if it didn't last.

Under this kind of mentality, of course, there is not much inspiration.

The previous inspiration value was only about 20 points. I had some research ideas, but I didn't really think deeply about it.

Now that he had found a research direction, Wang Hao went to the door and hung a sign of "Do Not Disturb", and then he was bored in the office and began to do research seriously.

The general solution he thought of was the 'covering method'.

Simply put, Goldbach's conjecture is to prove that any even number can be expressed as the sum of two prime numbers.

The idea of ​​the "covering method" is to prove that the combination of all prime numbers (including itself) can cover all even numbers. As long as it can prove complete coverage without missing any even number, it will naturally directly cover Goldbach's conjecture.

If it is within a bounded range, the proof is naturally very easy, even for prime numbers.

However, when the scope reaches infinity, it is very difficult to prove it. We need to study and analyze the process of coverage, and even analyze the problems of prime numbers.

This kind of analysis is much more difficult than proving Legendre's conjecture.

...

Wang Hao was bored in the office for three consecutive days, and even asked the students to deliver meals several times in the middle.

He has been studying ideas.

Among them, the problem involving the analysis of prime numbers is the most difficult, and this problem has been stuck until the third day.

Of course, the three-day study was rewarding.

【Task 2】

[Inspiration value: 61. 】

The inspiration value has increased by 18 points compared with three days ago.

"This is the limit." Wang Hao thought. He did research following Qiu Hui'an's idea, but it is difficult to directly solve a complex problem with a research idea, and there are many other difficulties to prove.

However, the inspiration value has exceeded 60.

Wang Hao hoped to complete the research in one go. After careful consideration, he decided to open a related public class.

With the general direction of research, it is relatively easy to accumulate inspiration points.

Open class is a good idea.

When he reached the elevator entrance, Wang Hao ran into He Yi who was coming over.

He Yi held a report in his hand, and when he saw Wang Hao, he immediately said, "Don't go, just right, I'm here to find you."

"Report?"

"Yes." He Yi took Wang Hao back to the office and said, "This is the project settlement report. Please take a look at it carefully. If there is no problem, I will submit it."

In the past few days, He Yi and Xiao Xinyu have been summarizing the project and writing the results report. After the report is finished, they must show it to the project leader.

Wang Hao sat down again and looked through.

Mainly look at the introduction and summary of the initial and final results, browse through and find that there is no problem, then hand it over to He Yi again, "Submit it directly."

"Don't you take a closer look?" He Yi asked in surprise.

Wang Hao shook his head, "It's nothing to look at, Professor He, you said this is more professional than mine, if you don't have any problems, just submit it directly, if you submit it earlier, you can apply for the next project earlier."

He Yi smiled and nodded, "Okay, then I will submit it."

After dealing with this matter, Wang Hao went to the office of the Faculty of Science in the Academic Affairs Office and talked about his plan to open a public class.

"Open class?" The person in charge of the Academic Affairs Office was surprised, "Professor Wang, what kind of open class do you want to hold?"

"Goldbach Conjecture."

"Goldbach's conjecture? Uh..."

The content of this open class is really unexpected.

The Academic Affairs Office still recorded it, because it was Wang Hao who wanted to open the public class, so he didn't worry that no one would come to listen, or even worry that there were too many people who signed up to listen.

soon.

Information is publicly available on the school website.

Many people signed up directly when they heard the news, especially some graduate students, they wanted to listen to Wang Hao's courses even more.

This semester Wang Hao has two courses, one is "Nonlinear Functional Analysis" and the other is "Complex Analysis", both of which are basic courses for graduate students in mathematics.

"Nonlinear Functional Analysis" is an old course.

"Complex Analysis" is a new course, which is the continuation and in-depth of the undergraduate course "Complex Variable Function".

Wang Hao decided to teach this course because an old professor had retired, and it was not easy to find a new teacher for difficult mathematics courses.

He took over.

In addition, because "Complex Analysis" is a new course for him, teaching new courses will help increase his understanding of knowledge.

Because he may be very busy with two projects on hand, he is not offering elective courses.

There are only two classes a week, which is just right.

Now when encountering the need for inspiration points, it is still a bit troublesome not to have relevant courses, so Wang Hao decided to open an open class.

This is the first time Wang Hao has offered an open class in school, and his courses are still very popular.

Some mathematical geniuses are very good at doing research, but teaching is just the opposite, probably because the genius has a high IQ and a deeper understanding of knowledge.

Questions that they think are too simple to explain are very difficult for ordinary students.

In other words, some courses for mathematical geniuses are difficult for ordinary students to follow.

Wang Hao is different.

He is recognized as a top-level mathematics genius. He has completed top results in a row in his twenties, and his lectures are also recognized as outstanding.

Anyone who has listened to Wang Hao's lectures feels that his courses are easier to understand, even if he explains the same content, it is easier to understand when he lectures.

With the reputation of a genius mathematician, coupled with his reputation in teaching, Wang Hao's courses will naturally be very popular.

Because the course is so popular, the information about the open class has just been released, and a large group of students have signed up.

Luan Haiping even came here specially.

Because it was the first time for Wang Hao to offer an open class, he was worried that there might be problems in the lecture.

"Wang Hao, why did you suddenly think of publicly speaking about Goldbach's conjecture?" Luan Haiping asked curiously.

Wang Haodao, "I just feel that there are few courses this semester. I thought, I will tell you something when I have time, hoping to make more people fall in love with mathematics and understand mathematics research better."

He continued, "I'm currently studying Goldbach's conjecture. This conjecture is known to many people, and many students must be interested in it."

"That's true." Luan Haiping nodded and asked with interest, "How is your research going? Do you have any ideas?"

"Have some ideas." Wang Hao said after thinking.

"Really?" Luan Haiping was surprised when he heard that, Wang Hao has completed a lot of mathematical research, the most influential of which is the proof of Kakutani's conjecture.

The proof of Kakutani's conjecture used a mathematical method that he himself researched, and he won the Chern Shiingshen Mathematics Award and the first prize of the National Natural Science Award.

However, Goldbach's conjecture is different from Kadotani's conjecture, and their influence is not at the same level.

Because the domestic propaganda of Goldbach's conjecture has a greater influence than the international one.

Luan Haiping immediately asked, "Do you think the proof can be completed? How long will it take? One year, two years? Five years is fine!"

Wang Hao hesitated for a moment and said, "It's hard to say, I just think about it when I have an idea, and the proof still needs inspiration."

Luan Haiping listened and nodded, and made a judgment in his heart. He felt that the time he said was still too short, and Wang Hao just had an idea, and it would take a long time to prove it.

Even if it takes ten years, it is quite remarkable!

At that time, Wang Hao was only in his thirties, and he had already completed the proof of Goldbach's conjecture, which was amazing to think about.

That is the real name through the ages!

In recent decades, there have been many top-level results in the world, but there are only two people who have really solved major mathematical problems, one is Grigory Perelman and the other is Andrew Wiles.

They proved the Poincaré conjecture and Fermat conjecture respectively.

If Wang Hao can complete the proof of Goldbach's conjecture, he will be recognized as one of the top mathematicians in the world.

Ranking, at least the top five!

How awesome is this?

Luan Haiping couldn't even imagine it.

...

at the same time.

In an office of the Department of Mathematical and Physical Sciences, Academician Wu Hui is checking the Key Laboratory of Superconductivity and submitting the report to Qiansheng's research team.

He shouted in surprise, "The strength of the AC gravity field reaches 4.1 percent?"

"There is 4.1?" Fan Qingxue on the opposite side was also very surprised. The latest news they knew was that the basic science experiment in the capital had increased the strength of the communication gravity field to 3.6%.

That's already a high number.

They are in charge of related research projects and can know some gossip. Xiang Qiansheng's research team is the focus of attention. Three weeks ago, the data was only 3.5%.

Now it directly reaches 4.1%?

Wu Hui was very surprised. After reading the introduction of the results, he began to read the contents carefully.

Soon, he found the key point, "They improved the layout of superconducting materials, adjusted the width of nodes and conductors, and the overall shape did not change, but the design seemed more reasonable."

"The report said that changes in the layout of superconducting materials brought about a 0.4 percentage point increase."

"Very powerful ah!"

After Wu Hui finished speaking, he commented, "It seems that the other two institutions have no chance, and neither can the physics laboratory."

It sounds like Fan Qingxue is a little bit pessimistic about the physics laboratory.

He participated in the first experiment in the physics laboratory and was shocked by the results, but the improvement in the first experiment does not mean that the subsequent improvement will be great.

The 4.1% data is really amazing.

Of course, it depends on other studies, and the increase in the strength of the exchange gravity field indicates a factor.

If there is not much difference in the improvement strength, it is necessary to compare the research content of other aspects.

Of course, speed is also critical.

He was the first to submit a report to Qian Sheng's team, which shows that their research speed is also very fast.

This is a plus point.

While the two were talking, Wu Hui turned his head again and found that a new report had been sent. He clicked on it and was a little puzzled, "Report from the Physics Laboratory of Xihai University?"

"Impossible? So fast?"

Wu Hui asked Fan Qingxue suspiciously, "Did the fund for the foundation just be allocated?"

Fan Qingxue said, "It should have just arrived, right? I asked in the morning, and it seems that the payment was made today."

"Then why did they submit the report?"

Of course Fan Qingxue didn't know.

Wu Hui simply clicked on the report to view it, and was startled just by looking at the brief introduction of the result, "The strength of the exchange gravity field is 6.5 percent?"

After he finished speaking, he rubbed his eyes vigorously, as if worried that he had read it wrong, "It really says 6.5."

Fan Qingxue immediately leaned over to take a look.

The two took a deep breath at the same time, they naturally knew what this data represented.

Even if you put aside other factors, just this data can play a decisive role. 6.5% compared with 4.1%, can be said to be a leapfrog improvement.

If the data is real, Xiang Qiansheng's team has no chance at all. Of course, the Basic Science Center of Capital University also has no chance. The difference in the results is too large, so there is no need to compare other aspects.

Experiments based on this data, even without analysis, are sure to be in the right direction.

Wu Hui rubbed his forehead with a wry smile, and said, "Wang Hao really always surprises people. Xiang Qiansheng wants to grab his project, and it seems that the investment will be in vain."

"We're going to send an expert team over again this time."

"this time……"

"I'll go there by myself!"

...

Xihai University, the large classroom on the west side of the teaching building.

This meeting room is the largest classroom in the school and can accommodate up to four hundred people.

In fact, at the very beginning, the school planned to hold public classes in the large exhibition hall, because the number of people who signed up for Wang Hao's public classes was very large, and it was almost time for a large-scale speech.

Such activities are held in large conference rooms and even in open-air playgrounds.

After Wang Hao heard it, he immediately shook his head and refused, because speeches, performances and mathematics explanations are completely different.

Some speeches don’t need to be followed carefully, and you can understand them by listening to them in the middle.

Math is different.

When explaining a certain knowledge, if there is a place in the middle that you can't keep up with, it will be difficult to understand later.

If he speaks something on stage, the people below will basically not be able to understand it, and it will be impossible to bring inspiration points, and it will be meaningless.

In addition, what he explained was also difficult.

Ordinary students can't understand it at all, at least they need a junior or senior in the mathematics department to understand a little bit, and if they want to understand everything, at least they need a PhD in mathematics or an excellent graduate student.

For undergraduate students, it doesn't make much sense to attend lectures.

So in the end I chose the large classroom.

All the seats in the classroom were occupied, and the aisles and the back row were crowded with people, some of them simply took a stool and sat down to listen.

Most of the people who came to attend the lectures were graduate students and doctors from the Department of Mathematics, some students from the Department of Physics and Chemistry, and the rest were professors and lecturers in the school.

Standing on the podium, Wang Hao looked at the large group of heads, nodded expectantly, tried the microphone, and then said, "The theme of my class is Goldbach's conjecture."

"Of course, everyone knows that Goldbach's conjecture has not been proven, so the first part of me is to explain the existing research related to Goldbach's conjecture."

"I will explain some ideas and ideas that may solve the problem of Goldbach's conjecture later."

This sentence is somewhat unexpected.

When Wang Hao said that he explained the possible solution to Goldbach's conjecture, did he talk about other people's solutions or his own?

Some frowned slightly.

For example, Zhou Qingyuan, he was a little worried that Wang Hao would disclose his research.

Before the research is confirmed to be published, even if it is just an idea, it may be plagiarized by others.

Wang Hao hadn't started talking yet, and he didn't know what to say, so he just listened patiently.

"Let's start with Mr. Chen Jingrun's proof of 1+2."

Wang Hao said, "I think Mr. Chen Jingrun has reached the pinnacle in the application of the sieve method. Why do you say that?"

"Because he used the sieve method to prove 1+2, which is already the ultimate."

"Then let's talk about the sieving method first..."

Wang Hao quickly put himself into the teaching mode. He started from Chen Jingrun's 1+2 proof, and after explaining the idea in general, he talked about some other research results of Goldbach's conjecture.

These results do not use the sieve method, but they are still very informative.

After explaining the existing results, about an hour passed, and everyone had a 15-minute break.

Wang Hao also communicated with several professors.

Zhou Qingyuan asked, "What are you talking about next? What are your thoughts and ideas for solving problems?"

Wang Haodao, "The next step is to explain my research, from the perspective of group theory to analyze and cover Goldbach's conjecture, but my research is only half done."

He shook his head regretfully.

Zhou Qingyuan immediately frowned, "It's not good for you to directly talk about your thoughts and ideas like this? If you let some villains know, take your ideas and ideas and continue to study..."

I didn't say anything next.

Several professors next to me thought the same way. My own thoughts and ideas are the most important. How can I say it in public?

Even imperfect ideas are the most precious wealth of scholars. Maybe the ideas and thinking are correct, and the proof of Goldbach's conjecture can be completed.

Wang Hao smiled when he heard this. He glanced at the task inspiration value and found that the inspiration value had risen to 83 points.

100 points high pole, only 17 points away!

If you can openly talk about your own thoughts and ideas, others will follow along to understand and think, and it will definitely bring a lot of inspiration.

At that time, the proof of Goldbach's conjecture can be completed in one go.

Who can be faster than him?

Even if it is to record his thoughts and ideas, and then do research and analysis, or even directly write related papers, it should not be as fast as him, right?

Moreover, he only explained a part of his ideas, only the very beginning, and he would definitely not talk about new ideas.

The sum of those contents will not exceed one-fifth of the proof!

(seeking a monthly ticket)