"The current sieve method cannot really prove the Goldbach conjecture unless the sieve method continues to be optimized or another approach is adopted." In the quiet seats of the auditorium of Jingzhou University, Xu Yun and Minte shared their understanding of the Goldbach conjecture after exchanging problems: "If the Goldbach conjecture is disassembled into two more basic conjectures by creating a number set, perhaps the difficulty of proving will be reduced." ”

On the other side, Minte listened to all the words into his ears, and his heart became more and more shocked.

So much so that even his expression was a little tense.

When he first heard that Xu Yun was also studying number theory, he only thought that the other party's understanding should be limited to the preliminary stage.

After all, as a prover of the Hodge conjecture, his areas of expertise should be algebraic geometry and topology.

It is impossible to have the energy to study number theory in depth.

So thinking about discussing with Xu Yun, he wouldn't have any pressure, so he agreed.

As a researcher at the Clay Institute of Mathematics, he is considered a genius at internationally renowned universities such as Cambridge and Harvard, and his biggest goal in life is to prove the world's mathematical problems.

Perleman proved Poincaré's conjecture, and he was sincerely impressed by the madness with mathematics.

He was ashamed of it.

But Hodge's conjecture was proved by a teenager who was still in his undergraduate years, which made him a little unconvinced.

Even if you read the paper and know the value in it.

For this reason, he took advantage of this report meeting, and he specially asked his teacher Griffith to bring him to participate.

I want to see for myself the probe of Hodge's conjecture.

As a result, he didn't expect that as soon as they met, Xu Yun gave him such a big surprise that he didn't expect.

Not only does he have a very thorough understanding of number theory, but he even gives a fifth way to prove Goldbach's conjecture.

Although this is just an idea, it is not certain whether it will be useful or not.

But it is enough to prove that Xu Yun's time to study number theory will definitely not be short, and the level may not be below him.

Goldbach's conjecture is also a mathematical problem in the world, but unlike Hodge's conjecture, it belongs to a field of seemingly simple number theory.

This conjecture was originally proposed by Goldbach that any integer greater than 2 can be written as the sum of three prime numbers, but because the modern mathematical community no longer uses the convention that 1 is also a prime number, the modern statement of the conjecture has become that any integer greater than 5 can be written as the sum of three prime numbers.

Scholars who study Goldbach's conjecture know that there are several main ways to prove it.

These are the idle primes and the set of exceptions, and the Goldbach problem of the three-prime theorem for small variables.

The creation of a number set, which Xu Yun mentioned at the moment, to split the Goldbach conjecture into two more basic conjectures, is undoubtedly a completely new approach.

Rao was very unconvinced by Xu Yun before, and now he had to admit that the other party was talented in mathematics.

"I didn't expect you to have such a deep understanding of number theory, you should have started studying it a long time ago, right?" Mingte threw out a question with a complicated expression, and then sighed from the bottom of his heart: "Although it was only a short exchange, I also gained a lot. ”

Since Xu Yun became interested in number theory, he spent time and energy studying and researching.

It is impossible not to understand a few conjectures in the field of number theory.

The most famous of these are the Goldbach conjecture and the twin prime, as well as the Riemann conjecture that countless people have tried to prove.

To prove Goldbach's conjecture, the world's mathematicians have studied the most by using idle prime number proofs.

A sluggish prime is a positive integer with a small number of prime factors.

If we use a+b to represent the proposition.

Each large even number N can be expressed as A+B, where the number of prime factors of A and B does not exceed a and b respectively.

In this way, Goldbach's conjecture can be written as 1+1.

And the progress in this direction is all made by the sieve method.

Among them, the closest to Goldbach's conjecture is the 1+2 proved by Academician Chen Jingrun in China.

Unfortunately, there has been no progress since then.

Xu Yun's talk about creating a number set is just a proof idea that he came up with by chance.

There is no specific calculation process, and it is not known if it is feasible.

In the exchange with Minte, he took the opportunity to mention it, but he didn't expect that the other party suddenly seemed to be a different person.

Even the attitude is much better.

Faced with Minte's question, he didn't think too much about it, and he was still used to telling the truth.

"It was only after I proved the Hodge conjecture that I began to study number theory in depth."

"What?"

"After proving Hodge's conjecture?"

When Mingte heard this, the expression on his face could no longer be suppressed, and he was surprised that his mind was full of question marks.

Although he didn't know when Xu Yun proved the Hodge conjecture, judging from the time he submitted it to the Mathematics Yearbook, I am afraid that it will only be two months at most until today.

But to this extent, mathematical talent can no longer be described as genius.

It can only be said that it is no wonder that people can prove Hodge's conjecture.

Taking a deep breath to temporarily suppress the huge waves in his heart, he asked the question he wanted to know the most in English.

"Are you going to continue to prove other world math problems?"

For mathematicians, it is enough to prove a mathematical problem in the world, and it is enough to go down in history.

If anyone can really solve many of the world's mathematical problems, it will definitely be the greatest existence in the history of mathematics.

Although he didn't believe that such a genius existed, as he came into contact with Xu Yun, this kind of thought seemed to breed in his heart as if it was uncontrollable.

Xu Yun naturally didn't have the idea of continuing to prove the world's mathematical puzzles, after all, the random reward extraction could not be related to the process, and he wanted to rely on brain overclocking to solve the problem of not knowing how many points and energy capsules to consume.

At least what he had left for now was not enough.

The in-depth study of number theory is the need for new knowledge, which gives him a sense of pleasure.

Not deliberately to prove the conjecture.

What's more, for him now, the most important thing to do is to determine the direction of his thesis and successfully complete the graduation defense.

He had no intention of concealing this question, and replied directly to Dr. Minter:

"I'm going to be busy writing my thesis and finishing my undergraduate studies, but I don't have the time and energy to solve other mathematical problems in the world."

"I'll leave this problem to you, Dr. Minter."

To put it simply, it's proof that I'm not going to compete with Goldbach for the conjecture.

However, there is another prerequisite that Xu Yun did not say, that is, first of all, Mingte really has the strength to prove Goldbach's conjecture.

After all, although he is not very interested in proving other mathematical problems in the world, who can say for sure what will happen in the future, maybe he will really prove Goldbach's conjecture when he comes to inspiration.

Listening to Xu Yun's words into his ears, Mingte's mood at the moment was low and complicated.

Obviously, he is a Ph.D. in mathematics from Harvard University, but he is not as good as the undergraduate student in front of him who is busy defending, and he is still in the field of number theory, which he is best at.

I knew that I wouldn't have followed the teacher.

He regretted it a little.

Xu Yun didn't know what Dr. Minter was thinking at this moment, and just as he was about to say something more, out of the corner of his eye, he suddenly noticed Wu Zhongping and Professor Griffith from the Clay Institute of Mathematics coming over. Yuan Chengming, who was originally with them, became Qin Xiangxin and Tang Yanshan.

"Headmaster."

"Professor Griffith."

While standing up quickly and politely taking the initiative to greet him, he also signaled to Qin Xiangxin and Tang Yanshan.

"How did you communicate with Dr. Minter?"

Wu Zhongping seemed to ask casually, but in fact, he was a little worried in his heart, afraid that Xu Yun would be made difficult by Mingte.

Whether he or Qin Xiangxin or Tang Yanshan, they all know that number theory is Xu Yun's weakness.

I haven't studied deeply or consulted professors in this field at all, and if I really get deliberately embarrassed by Mingte, I will be a little embarrassed.

That's why he deliberately brought someone over, thinking that if something happened, he would find an excuse to take Xu Yun away.

Before Xu Yun could answer, Dr. Minter, who also stood up next to him, took the lead in speaking.

"Xu Yun has a deep understanding of number theory, and some of the content he talked about made me pause, and I hope to continue to communicate when I have the opportunity in the future."

As the words fell, a few people, including Wu Zhongping, flashed some doubts in their hearts.

Number theory is an elective course in the Department of Mathematics of Beijing University, and none of them know that Xu Yun has studied it systematically.

How to teach an overseas Ph.D. who studies number theory in this situation.

"Did the doctor say that on purpose?"

This speculation came to mind, and I immediately had a better impression of this overseas doctor.

"You're the most gifted math genius I've ever met." Griffith knows his student's personality very well, and he can take the initiative to praise others in the field he is good at, which shows that Xu Yun is indeed very good at number theory, and his love for talent can't help but praise: "I didn't expect that in addition to algebraic geometry and topology, you also have a good understanding in the field of number theory." ”

"I also learned a lot from Dr. Minter, and number theory is far more esoteric than I thought."

Xu Yun humbly responded to Griffith, and then watched him and Dr. Minter return to the room arranged by Beijing University to rest.

Many of the hundreds of people who came to attend the report meeting were half-buried and went to bed early.

So the party before the presentation didn't last long, and soon the ceremony hall fell silent.

Everyone is waiting for tomorrow to be in the best state to meet this grand event that belongs to the entire mathematical community.

Originally, Wu Zhongping and the others wanted to ask Xu Yun about number theory, but in order to let him play normally at the report meeting tomorrow, they finally suppressed this question for the time being.

……

Following.

Around nine o'clock in the morning.

The largest academic lecture hall at Jingzhou University was already full, and any one of them was a well-known scholar in the field of mathematics.

Under the stage of the lecture hall, a large number of cameras are set up to ensure the synchronization of the online live broadcast.

In addition to opening the live broadcast portal on major website video platforms, it will also be broadcast in real time on TV stations.

Even on international channels for global coverage.

It can be said that this is the first large-scale report held since the establishment of the domestic mathematics community.

Before the report officially began, there was already a heated discussion on the Internet.

Although most people can't understand it at all, thinking of the world's mathematical problems proved by the Chinese people, the enthusiasm for watching the live broadcast has not diminished at all, driven by the pride that comes from the blood in their hearts.

(End of chapter)