Office of the Director.

Wang Hao looked at Qiu Hui'an's eyes full of satisfaction and appreciation, he patiently listened to Qiu Hui'an's explanation, and then asked, "Did you use this method to cover Chebyshev's theorem?" ”

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 is consistent with p greater than n and less than 2n−2.

A slightly weaker argument is that for all integers n greater than 1, there is at least one prime p, consistent with p greater than n and less than 2n.

This question was first raised by Chebyshev, and later Chebyshev himself completed the proof.

The Legendre conjecture has not yet been proven.

Qiu Hui'an nodded, "I have used this method to cover Chebyshev's theorem. ”

"But if you want to cover the Legendre conjecture, you can't find a good entry point, and the prime interval of the Legendre conjecture appears in a smaller range."

"And the operation involving the square is much more difficult than simple addition and multiplication."

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

"Let's analyze it together."

"Your method overrides Chebyshev's theorem, it should be like this......"

Wang Hao began to write on the paper as he spoke, and it only took a few minutes to write a complete proof.

Qiu Hui'an sat next to him and watched dumbfounded, he studied for half a month to complete this proof, and the previous thinking time was more than a month.

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

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

Wang Hao didn't care.

This time he did write the proof with his own understanding, and not by "The Gift of Teaching".

In terms of related research, he is much more in-depth than Qiu Hui'an, and the proof of Chebyshev's theorem is also very simple, and there are even many methods that can be demonstrated.

He just thought of the way to prove it.

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

Suddenly.

He and Qiu Hui'an discussed more enthusiastically.

This is discussion, not teaching.

Wang Hao did not study the Legende conjecture, but only thought briefly when guiding Qiu Hui'an.

He prefers that students can complete their own research, otherwise it is equivalent to him doing research, not students doing research.

This is very important for the growth of students.

At the same time, Qiu Hoi An is indeed very good.

When discussing issues, Qiu Hui'an always had ideas popping up, and he also sent a few inspirations to Wang Hao.

Wang Hao felt a little incredible, and at the same time, he felt that Qiu Hui'an was very genius, and he had the four-fold inspiration improvement effect of "The Gift of Scientific Research", but he also had to be really inspired, but Qiu Hui'an could continue to be inspired.

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

He and Zheng Yaojun discussed it before.

Zheng Yaojun felt that Qiu Hui'an would be very remarkable if he could complete the proof of Legend's conjecture during his graduate studies.

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

The Legendre conjecture is indeed a small conjecture, but the small degree is only compared with Zhou's theorem, which is a difficult problem in number theory, and it is quite amazing that a graduate student can make a proof, 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 hurriedly checked the task.

[Task 2]

[R&D Project Name: Proof of Goldbach's Conjecture (Difficulty: S).] 】

[Inspiration: 47.] 】

"It's 47 o'clock!"

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

In this state of mind, of course, there is not much inspiration to rise.

I only had about 20 points of inspiration before, and I had some research ideas, but I didn't really think about it deeply.

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

The general direction he came up with was the 'coverage method'.

In simple terms, Goldbach's conjecture proves that any even number can be represented as the sum of two prime numbers.

The idea of the 'coverage method' is to prove that all prime numbers can be combined in pairs (including itself) to cover all even numbers, as long as it can be proved to be completely covered, and no even numbers will be missed, which will naturally directly cover Goldbach's conjecture.

If it is within a bounded range, it is very easy to prove nature, even if it is for prime numbers.

However, when the range reaches infinity, it is not easy to prove it, study the process of analysis coverage, and even analyze the problems that arise in prime numbers.

This analysis is much more difficult than proving the Legent conjecture.

……

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

He's 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 still rewarding.

[Task 2]

[Inspiration value: 61.] 】

Inspiration is 18 points more than three days ago.

"That's the limit." Wang Hao pondered. He followed Qiu Hui'an's idea to do research, but it is difficult for a research idea to directly solve a complex problem, and there are many other difficulties that he wants to prove.

However, the inspiration value is already over 60.

Wang Hao wanted to complete the research in one go, so he thought about it carefully and decided to open a related public class.

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

It's a good idea to have an open class.

When he walked to the elevator, Wang Hao was running into He Yi who came over.

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

"Report?"

"Yes." He Yi pulled Wang Hao back to the office and said, "This is the project settlement report, you take a closer look, 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.

Wang Hao sat down again and looked at it.

Mainly look at the introduction and summary of the results at the beginning and the end, and if you browse and find that there is no problem, you will re-hand it to He Yi, "Submit it directly." ”

"Why don't you take a closer look?" He Yi was surprised.

Wang Hao shook his head, "It's nothing to look at, Professor He, you said that this is much more professional than me, just submit it directly if there is no problem, submit it earlier, and you can apply for the next project earlier." ”

He Yi smiled and nodded, "Okay, then I'll submit it." ”

After dealing with this matter, Wang Hao went to the office of the Faculty of Science in the Academic Affairs Office and said that he was going 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 are you going to have?" ”

Goldbach's conjecture."

"Goldbach's conjecture? Forehead ......"

The content of this open class was really unexpected.

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

Soon.

Information is made public on the school's website.

Many people have signed up directly when they know the news, especially some graduate students, who want to listen to Wang Hao's courses 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 a continuation and in-depth of the undergraduate "Complex Variable Function" course.

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

And he took over.

In addition, because "Complex Analysis" is a new course for him, teaching a new course helps to increase the understanding of knowledge.

Because he was not offering electives because he could be very busy with two projects at hand.

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

Now when I need inspiration, I am still a little troubled if I don't have a related course, so Wang Hao decided to open an open course.

This is the first time that Wang Hao has held an open class in the school, and his course is still very popular.

There are some math geniuses who are very good at doing research, but the teaching aspect is quite the opposite, probably because geniuses have a high IQ and a deeper understanding of knowledge.

Questions that they think are so simple that they don't need to be explained are very difficult for the average student.

In other words, some math genius courses are difficult for the average student to keep up with.

Wang Hao is different.

He is recognized as a top mathematical genius, having achieved top results in his twenties, and he is recognized as an outstanding lecturer.

As long as people who have listened to Wang Hao's lectures, they all feel that his courses are easier to understand, even if the explanation is the same content, it is easier for him to understand when he lectures.

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

Because the course was so popular, the information about the open class had just been released, and a large number of students had signed up.

Luan Haiping also came over in particular.

Because Wang Hao was holding an open class for the first time, he was worried about what problems would arise in the lecture.

"Wang Hao, why did you suddenly remember to talk about the Goldbach conjecture publicly?" Luan Haiping asked curiously.

Wang Hao said, "I just think there are few courses this semester." I thought that I would tell you something when I had time, hoping that more people would fall in love with mathematics and learn more about the study of mathematics. ”

He continued, "I've been working on the Goldbach conjecture lately, and it's a conjecture that many people know about, and I think many students will be interested in it. ”

"That's right." Luan Haiping nodded when he listened, and asked with interest, "How are you researching?" Got an idea? ”

"Have a little bit of an idea." Wang Hao thought about it and said.

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

Kakutani's conjecture was proved using a mathematical method he had researched himself, for which he won the Chern Prize in Mathematics and the first prize of the National Natural Science Award.

However, the Goldbach conjecture and the Kakutani conjecture are not the same, and their influence is not on the same level.

Because the domestic propaganda of Goldbach's conjecture is more influential than that of the international community.

Luan Haiping immediately asked, "Do you think you can complete the proof?" How long does it take? A 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 it proves that I still need inspiration." ”

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

Even if it takes ten years, it's 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 very amazing to think about.

That's a real name for the ages!

In recent decades, there have been many top-notch international achievements, but only two people have really solved major mathematical problems, one is Grigory Perelman and the other is Andrew Wiles.

They proved the Poincaré conjecture and the Fermat conjecture, respectively.

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

Ranking, at least top 5!

How awesome is that?

Luan Haiping was a little unimaginable.

……

At the same time.

In an office in the Department of Mathematical and Physical Sciences, Academician Wu Hui is inspecting the report submitted to the research team of Qiansheng at the Key Laboratory of Superconductivity.

He shouted out in surprise, "The strength of the AC gravity field reaches 4.1 percentage points? ”

"Have a 4.1?" Fan Qingxue on the other side was also very surprised, and the latest news they learned was that the capital's basic science experiment had increased the strength of the exchange gravity field to 3.6%.

That's already a high number.

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

Now it's directly at 4.1%?

Wu Hui was very surprised, and after reading the introduction of the results, he began to read the content carefully.

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

"According to the report, the change in the layout of superconducting materials has brought about an increase of 0.4 percentage points."

"That's amazing!"

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

Fan Qingxue was also a little optimistic about the physics laboratory when he heard it.

He participated in the first experiment in the physics laboratory and was shocked by the results, but the first experiment improved a lot, which does not mean that the follow-up will be greatly improved.

The 4.1% figure is really staggering.

Of course, depending on other studies, the increase in the strength of the AC gravity field indicates a factor.

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

Of course, speed is also key.

Xiang Qiansheng's team was the first to submit a report, indicating that their research speed is also very fast.

This is a point that can be a plus.

While the two were talking, Wu Hui turned his head again and found that a new report had been transmitted, he clicked on it and looked at it and was suddenly a little puzzled, "The report of the physics laboratory of Xihai University?" ”

"Impossible, right? So fast? ”

Wu Hui asked Fan Qingxue suspiciously, and asked, "Has the foundation's funds just been allocated?" ”

Fan Qingxue said, "It should have just arrived, right?" I also went to ask in the morning, and it seemed that it was a payment today. ”

"Then why did they file a report?"

Of course Fan Qingxue didn't know.

Wu Hui simply clicked on the report to check it, and was stunned just by looking at the brief introduction of the results, "The strength of the exchange gravity field is 6.5 percentage points?" ”

After he finished speaking, he rubbed his eyes vigorously, as if he was worried that he had read it wrong, "It's really 6.5 written on it." ”

Fan Qingxue immediately came over to take a look.

The two of them took a deep breath in unison, and they naturally knew what this data represented.

Even if other factors are put aside, this data alone can play a decisive role, 6.5% vs. 4.1%, which can be said to be a leapfrog improvement.

If the data is true, Xiang Qiansheng's team has no chance at all, and of course, the Basic Science Center of Capital University does not have any chance, and the gap between the results and values is too big for other aspects to compare.

Experiments done with this data, even if you don't analyze it, are definitely going in the right direction.

Wu Hui rubbed his forehead with a wry smile and said, "Wang Hao can really always surprise people, Xiang Qiansheng wants to rob his project, it seems that the investment is going to be wasted." ”

"We're going to send a team of experts over again this time."

"This ......"

"I'll go by myself!"

……

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

This room is the largest classroom in the school, with a maximum capacity of about 400 people.

In fact, at the beginning, the school was preparing to hold an open class in the large exhibition hall, because the number of people who signed up for Wang Hao's open class was very large, and they were about to catch up with a large-scale speech.

This kind of activity takes place in oversized conference rooms and even in an open-air playground.

After Wang Hao heard this, he immediately shook his head and refused, because the speech, performance and mathematical explanation were completely different.

Some of the speeches don't have to be listened to carefully, but you can understand them when you listen to them in the middle.

Math is not the same.

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

If he speaks on stage, and the people below basically can't understand it, it will not be possible to bring inspiration at all, and there will be no meaning.

In addition, the content of his explanation is also difficult.

Ordinary students can't understand at all, and at least they need to be at least junior or senior in the Department of Mathematics to barely understand a little, and if they want to understand everything, they need at least a Ph.D. in mathematics or an excellent graduate student.

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

So in the end, I chose to be in a large classroom.

The seats in the classroom were all occupied, and the aisles and back rows were crowded, so some simply took their own stools and sat down to listen.

Most of the students who came to the lecture were graduate students and PhDs from the Department of Mathematics, some were students from the Department of Physics and Chemistry, and the rest were professors and lecturers from the university.

Wang Hao stood on the podium, looked at the large number of people in the audience, nodded with some expectation, he tried the microphone, and then said, "The topic of my class is the Goldbach conjecture. ”

"Of course, everyone knows that Goldbach's conjecture has not been proven, so I will start with a description of the existing research on Goldbach's conjecture."

"Some of the ideas and ideas that may solve the Goldbach conjecture will be explained later."

This statement was somewhat unexpected.

Wang Hao said that explaining the idea of solving Goldbach's conjecture may be talked about, is it talking about other people's solutions, or his own solutions?

Some frowned slightly.

For example, Zhou Qingyuan, who was a little worried that Wang Hao would make his research public.

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

Wang Hao hadn't started to talk yet, and he didn't know what he was going to talk about, so he just listened patiently.

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

Wang Hao opened his mouth and said, "I think Mr. Chen Jingrun has reached the peak of the state in the use of sieving methods, why do you say that?" ”

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

"So let's talk about the sieve method first......

Wang Hao quickly devoted himself to the teaching mode, starting with Chen Jingrun's 1+2 proof, and after explaining the ideas in general, he talked about some other research results of Goldbach's conjecture.

These results are not sieving, but they are still very referential.

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

Wang Hao also communicated with several professors.

Zhou Qingyuan asked, "What are you talking about next?" What are the problem-solving ideas, ideas? ”

Wang Hao said, "The next step is to explain my research, and analyze and cover the Goldbach conjecture from the perspective of group theory, but my research is only half carried out. ”

He shook his head with some regret.

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

The rest of the words were not said.

Several professors next to me also think the same way, their own thoughts and ideas are the most important, how can they say it in public?

Even imperfect ideas are the most valuable asset of scholars, and perhaps the ideas and ideas are correct to complete the proof of Goldbach's conjecture.

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

100 points high, only 17 points short!

If you can openly talk about your own thoughts and ideas, others will understand and think along with them, and the inspiration value that can be brought must be very large.

When the time comes, the proof of Goldbach's conjecture will be completed in one go.

Who could be faster than him?

Even if you record all his thoughts and ideas, and then do research and analysis, or even write relevant papers directly, it shouldn't be as fast as him, right?

Moreover, he only explained part of the ideas, only the very beginning, and the new ideas will definitely not be told.

Together, none of those contents will be more than one-fifth of the proof!

(Ask for a commuter pass)