Seohai University.

Wang Hao was busy receiving all kinds of congratulations and admiration, even if the research results had only just been published and had not yet been confirmed, but the mathematical community also knew that it was of great significance.

Looking back ten years ago, some scholars believed that there had been no major breakthroughs in mathematical and physical theories for many years.

Later, the emergence of the annihilation theory made a huge breakthrough in physical theory, and brought about a new scientific and technological development, which found a clear direction for human science and technology.

However, the basic theories of mathematics have not developed much. Actually, if you think about it, you can see it.

For example, most people spend their lives learning mathematics hundreds of years ago, and the so-called top research in the mathematics field is also a problem discovered a hundred years ago.

In recent decades, only "young disciplines such as algebraic geometry" have seen many valuable breakthroughs, but also some new problems.

Other mathematical disciplines, at best, only solve some problems, but do not raise new problems.

The stagnation of the development of mathematical theories has been discussed by the top mathematicians, but of course it will not lead to anything, unless there is a new breakthrough in mathematical research.

Now Wang Hao has brought a new breakthrough, he said that the shape of the high-order particle function is likely to bring great promotion and development to the study of numerical laws.

Many of the world's leading scholars have called the results "a great breakthrough in the study of prime numbers."

Some well-known institutions roughly define the study of higher-order particle functions as the "Wang's conjecture", and its main content is the analysis of the Wang's function.

Of course.

This is just conjecture, and Wang Hao's research has not been confirmed, mainly because it cannot be confirmed. Mathematics is a very rigorous subject.

Just like the Riemann conjecture, research that has not been proven can only be conjecture, and no matter how much verification is done, as long as a perfect logical proof is not formed, it cannot be determined.

But this does not affect the value of the results.

In the past two years, Wang Hao has not produced top mathematical achievements, and most of his energy has been devoted to physics and technology research.

Some scholars believe that Wang Hao has abandoned mathematics.

In fact, it is also very normal, most of the achievements of genius mathematicians are concentrated in more than ten years, rather than being able to have top results in life, Wang Hao has a shorter time to produce results, only a few years, but he has completed the famous Goldbach conjecture and NS equation problems, and other incidental studies such as Kakutani conjecture and Artin's constant.

The emergence of these studies was concentrated in a few years, and the follow-up only made progress on the Hodge conjecture with others, and the rest was the result of physics.

Wang Hao only spent a few years, his personal mathematics scores have reached the peak, and it is very normal to turn to physics and technology.

Apparently.

Wang Hao proved that he did not conform to the general law of "genius mathematician", and as soon as he made a move, it was the 'Wang function', which directly made a major breakthrough in the study of prime numbers.

This is not just a breakthrough, but it has helped guide the study of prime numbers.

Naturally, this was considered a "top achievement", and many people who knew it sent congratulations.

Wang Hao also attaches great importance to the study of the higher-order particle function, but the reason why he attaches great importance to it is not its mathematical significance, but the direct relationship between the higher-order particle function and the construction of the mass point.

The latter is the most important.

Wang Hao hopes to further construct the mass point in this way, no matter when mathematics is just a tool, and the study of physics is directly related to science and technology.

Now he is no longer a pure mathematician.

"But until the next breakthrough in function research is made, it is almost impossible to find a direction." This is where the headache lies.

Wang Hao finished writing a reply email, shook his head and looked at Ding Zhiqiang in front of him, with a sense of hatred in his eyes.

Ding Zhiqiang came over.

He was talking about the doctoral dissertation.

Previously, Wang Hao denied Zhiqiang's doctoral dissertation, saying that he would study with him, and that the results would be used as the content of his doctoral dissertation.

Now the results are there.

Ding Zhiqiang is also listed as a 'collaborator' of the research and one of the authors of the paper.

Therefore, Ding Zhiqiang wanted to use the content of an essay as a doctoral dissertation, and what he said was reasonable, "Mr. Wang, I have also contributed to research, and I have sorted out part of the content, which can be used as a graduation thesis.....

"No!"

Wang Hao hated iron and steel, and said, "Of course, this research is very important, and your contribution is not small, and I have also marked it on the paper, but what can you summarize?"

"If you take some of them, are they all research on you?" That's the problem.

Although Ding Zhiqiang did provide a lot of inspiration, the problem is that most of the content is not clear to him, let alone sorting out, Ding Zhiqiang's sure contribution is to do verification calculations with others and analyze some complex equations.

These contents are sorted out, and of course they can be a person who is a doctor, but they are certainly very mediocre.

Wang Hao felt that it was completely inconsistent with Ding Zhiqiang's level, and for anyone who wants to engage in scientific research in the future, a doctoral dissertation is very, very important.

Ding Zhiqiang....

The lowest, the lowest, also have a top journal to study, right?

Wang Hao pursed his lips and said, "That's it, Zhiqiang, it's not difficult for me to be for you, as long as your paper reaches the level of the top four international journals, I will agree."

?」

Ding Zhiqiang opened his mouth, and his face was full of surprise. Top issue?

Isn't it difficult?

He didn't know how these two words were related, but when he thought that it was Wang Hao in front of him, the big guy who published papers in top journals at will, he struggled for a long time, and finally could only nod with tears in his eyes.

When he walked out of the office, his face was full of confusion and helplessness, and he didn't even know if he would be able to graduate in this life.

"I knew..."

"Alas!"

Zhang Zhiqiang happened to come over, he glanced at Ding Zhiqiang, and said hello, "Xiao Ding, just came out?" What's wrong?" "I..."

Ding Zhiqiang was about to say something when he heard the sound of Qiu Hui'an humming next door, "I want to go back to the past and try to let the story continue.... ＂

"It's the same as he sings." 「??」

Zhang Zhiqiang didn't understand at all, he simply ignored it, and went directly into Wang Hao's office, shouting loudly, "Wang Hao, new progress!"

"What?" Wang Hao raised his head with doubts. Ding Zhiqiang also came to the door.

Zhang Zhiqiang said, "Your function, there is new progress! A team from Stanford University discovered a second set of prime pairs, 211 and 457!"

Wang Hao stood up abruptly when he heard this, and at the same time, a system prompt came to his ears - [Task 2, inspiration value +3. 】

"Found it, so soon?" Wang Hao was suddenly very surprised, and then Zhang Zhiqiang took out his mobile phone to show foreign news reports.

This report has just come out and has not yet reached China.

Zhang Zhiqiang noticed it with the help of a proxy server, watched foreign academic news, and immediately came over to talk to Wang Hao.

Wang Hao saw the report and knew why it was so fast, and the team at Stanford University found a tricky way to use the prime number coverage method to use the stock song supercomputer to do the calculation, and it didn't take long to calculate the next set of prime pairs of nodes.

In an interview, the team also confirmed that "we have completed the calculation of prime numbers within 1,500 and found a set of numbers '211 and 457'."

"At the same time, we also found that whether it is substituting '5 and 17', or '211 and 457', the corresponding prime numbers obtained by solving the individual prime numbers still seem to have no pattern at all..."

Anyway, the second group

The discovery of prime pairs of nodes also gave Wang Hao's research a new node.

This is mainly due to the determination of a problem—a higher-order prime function has more than one set of prime-pair nodes. Soon the news spread to the country.

Many people know the second set of prime pairs of nodes of the higher order particle function, and they are also surprised by the efficiency of the Stanford University team, you know, Wang Hao's paper was published only three days, and the computer team of Stanford University has already come up with new results, and the methods they use are still very clever.

This kind of result .... It's enviable!

Many people and teams immediately focused on the higher-order particle function, and they knew very well that after the new research direction, there was no delay at all, and they must find the direction as soon as possible and conduct research quickly in order to achieve results.

Otherwise, the results will be obtained by others. Wang Hao fell into thought.

The discovery of the second set of prime pairs of nodes can certainly play a role in promoting the research, but it is almost impossible to find out the law of the occurrence of prime pairs of nodes for functions.

Just by looking at the two sets of numbers, we can see that the combination of prime pairs of nodes in the higher-order particle function is like a Mersenne prime and a twin prime, and there is no law at all.

Of course, this is not 100%, but even if there is a certain pattern, if you want to study it, the difficulty is 'S+'. If we can't study the law of the occurrence of prime pairs of nodes, the higher-order particle function will not be able to fully understand it.

So how do you relate to the quality point construction problem? Prime number distribution....

Quality points.

Wang Hao began to seriously think about the relationship between the two.

·.....

The computer team of Stanford University discovered the second set of prime number pairs, which also made the study of the higher-order particle function achieve the second round of international public opinion.

A lot of people talk about higher-order particle functions.

Some leading scholars have come forward and said that the higher-order particle function is a major breakthrough in mathematics.

The famous mathematician Andrew Wiles, who is approaching the age of 70, has left the Institute for Advanced Study in Princeton and is returning to the countryside of London to retire.

In the face of the problem of the higher-order particle function, Andrew Wiles also stood up and said in an interview, "The higher-order particle function is uncertain, and it is really a conjecture at this stage, but it may contain the law of prime numbers."

"Even so, its appearance is of great significance for mathematical research."

"If you describe it..... Even the sum of ten Fields is not enough to explain its role in the study of the fundamentals of mathematics."

This is indeed a very high evaluation, but it is also recognized by other mathematicians.

At the same time, Andrew Wiles also raised two questions, "Nowadays, many people talk about Wang's mathematical conjecture, but in fact, the study of higher-order particle functions can be split into two problems."

"One problem is to prove that a single prime pair is valid for all prime numbers. Many people have participated in the calculation of prime number pairs, we can determine the prime number within 1,000, and the corresponding prime number can be found by substitution, but what about more than 1,000? Or what about super-large prime numbers?"

"It has to be proven."

"We can take this question as the first question of Wang's conjecture."

"The second question of Wang's conjecture is that the number of prime pairs of nodes, like twin primes, is there a finite number or an infinite number?"

"This also needs to be rigorously proven."

"Personally, I did research on higher-order particle functions and found a problem that I don't know if it's a problem." Andrew Wiles asks his own question, "Is there a 'full integer node of non-fully prime points?'

"At least so far, I haven't found any..."

In an interview, Andrew Wiles summarized two problems with higher-order particle functions, and he personally proposed a new one.

When the report was published, the three questions he raised were recognized by many students.

it

After many reports were cited, Wang's conjecture was divided into three parts, which were the first, second and third questions of Wang's conjecture.

More scholars realize that higher-order particle functions contain many excavating directions. They can use this to make research breakthroughs.

At the same time, some scholars think about the 'Wang conjecture', and they all feel a little strange.

"Wang's conjecture" has such a huge influence that it is considered to point out the direction of prime number research, and the study of prime numbers on nodes has also made rapid breakthroughs.

After that, there will definitely be new breakthroughs, such as finding the third set of prime pairs.

Now it is divided into three questions, which will definitely attract a large number of scholars in the fields of number theory and function theory to participate in the research, and the influence in the field of mathematics in the future may surpass the Riemann conjecture.

Historically, these major mathematical problems have often been proposed by old mathematicians, or found in the relics of a mathematician.

Now it's different.

The higher-order particle function was shaped by Wang Hao, and Wang Hao was just over thirty years old, and even just entered the peak of mathematicians'.....

Wouldn't it be good to ask Wang Hao directly about the research questions?

Several professors from the Institute of Mathematics of the Academy of Sciences thought so, they discussed and discussed, not sure what direction to study, and then Professor Du Haibin simply said, "I'll call Wang Hao!"

The others reacted immediately.

They weren't sure what direction they were looking for to do research, but they could ask Wang Hao himself!

If we talk about the understanding of higher-order particle functions, who else can compare with Wang Hao, who shapes functions?

Du Haibin and Wang Hao have met several times, and they can be regarded as academic friends, he has Wang Hao's contact information, but if you want to get on the phone, you still have to find Chen Mengmeng first.

Chen Mengmeng heard that the other party was a professor at the Institute of Mathematics of the Academy of Sciences, so she simply came to the office directly and handed over the phone to Wang Hao.

Du Haibin was not embarrassed, he just wanted to communicate with Wang Hao about the problem of the higher order particle function, and also hoped that Wang Hao could point out a good direction, so he simply asked directly, "Academician Wang, I want to ask about the research question of the higher order particle function. Now the international mainstream is saying three questions, which direction do you think is better?"

He was referring to the three questions that Andrew Wiles summarized.

Wang Hao hesitated for a moment after hearing this, and said, "I saw the report, and Wiles said that it makes sense, and there are indeed these three problems."

"If I had to choose..... It's all right." "Huh?"

The answer was unexpected.

Wang Hao said, "The study of prime numbers to nodes is a good direction, and rigorous proof covering all prime numbers is also a good direction, but I personally pay more attention to prime number pairs of nodes, but doing mathematical research is different."

"What do you mean?" Du Haitao didn't understand.

Wang Hao explained, "Mathematically, whether or not to prove that the function of the transformation of prime numbers to nodes can cover all prime numbers is indeed a good direction, but it has nothing to do with my main direction."

"Prime numbers are directly related to nodes. But when you do your research, you still have to find your own direction.....

"I don't really care about rigorous proofs, to put it bluntly, Professor Du, I don't plan to continue research, but hope to start with prime pairs and nodes to connect with the problem of mass point construction."

"But I really hope that more breakthroughs can be made in the study of higher-order particle functions." This time, Du Haitao understood.

He was silent for a long time, not knowing what to say for a while.

Wang Hao said a lot of content related to the higher-order particle function, and briefly talked about his own mass point research, but it can also be simplified into a few sentences-

I only proposed the higher-order particle function, but I mainly studied the mass point, and I was not interested in the subsequent research in the direction of mathematics.

Simplifying it a little more.....

I'm studying physics and I'm not interested in mathematics. "In other words...

Du Haibin put down the phone and explained to the others

"What Academician Wang means is that the reason why he has studied the function of higher prime points is only to construct mass points."

"Mathematics is just a tool for research..... "He is not interested in mathematics.....

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