Scholar's Cultivation System Panel

"The current sieve method can't really prove Goldbach's conjecture unless we continue to optimize the sieve method or take another method." Xu Yun and Minter exchanged Goldbach's conjecture in the quieter seat of the ceremony hall of Jingzhou University After the question, I expressed my understanding: "If Goldbach's conjecture is disassembled into two more basic conjectures by creating a number set, the difficulty of proof may be reduced."

On the opposite side, Ming Te heard all the words in his ears, and his heart became more and more shocked.

So much so that he couldn't even stretch his expression.

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 the prover of Hodge's conjecture, he should be good at 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 would not have any pressure, so he agreed.

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

Perleman proved the Poincaré conjecture, he sincerely admired that kind of madness in mathematics.

He was ashamed of himself for that.

But Hodge's conjecture was proved by a young man who was still at the undergraduate level, which made him a little unconvinced.

Even after reading the thesis, you know the value in it.

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

Just want to see the prover of the Hodge conjecture with my own eyes.

It turned out that Xu Yun gave him such an unexpected surprise just after they met.

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

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

But it is enough to prove that Xu Yun's study of number theory will definitely not be short, and his level may not be inferior to his own.

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

This conjecture was originally proposed by Goldbach, since any integer greater than 2 can be written as the sum of three prime numbers, but since modern mathematics no longer uses the convention that 1 is also a prime number, the modern statement of the conjecture becomes 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 currently several ways to prove it.

They are idle prime numbers and exceptional sets, and the Goldbach problem of the three-prime number theorem for small variables.

The creation of number sets mentioned by Xu Yun right now, which splits Goldbach's conjecture into two more basic conjectures, is undoubtedly a brand new method.

Rao was very dissatisfied with Xu Yun before, but now he has to admit the other party's talent in mathematics.

"I didn't expect you to have such a deep understanding of number theory. You should have started researching it a long time ago, right?" Minte asked a question with a complicated expression, and then said with emotion from the bottom of his heart: "Although it was only a short exchange, it also made me feel better." I gain a lot."

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

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

The most famous ones are Goldbach's conjecture and twin prime numbers, as well as the Riemann conjecture that countless people want to prove.

To prove Goldbach's conjecture, the most researched by mathematicians in the world is to use the prime number proof.

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

If a+b is used to represent a proposition.

Every 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.

Progress in this direction has been made using 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.

The creation of number sets mentioned by Xu Yun is just a way of proof that he came up with by chance.

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

In the communication with Mingte, he raised his mouth, but he didn't expect that the other party suddenly seemed to be a different person.

Even the attitude is much better.

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

"It was after I proved Hodge's conjecture that I became interested in number theory and conducted in-depth research."

"What?"

"After proving Hodge's conjecture?"

Ming Te heard that the expression on his face could no longer be tense, and he lost his voice in surprise, and his mind was full of question marks.

Although he doesn't know when Xu Yun proved Hodge's conjecture, judging from the time of submission to the Annual Journal of Mathematics, it may only take two months at most today.

But to understand this level, the talent in mathematics can no longer be described as a 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 most in English.

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

For mathematicians, being able to prove a world mathematical problem is enough to be recorded in history.

If someone can really solve the multi-world mathematical problem, it is definitely the greatest existence in the history of mathematics.

Even though he didn't believe that such a genius existed, but after getting in touch with Xu Yun, this kind of thought seemed to grow in his heart as if he couldn't control it.

Naturally, Xu Yun did not continue to prove the world's mathematical problems. After all, the random rewards cannot be drawn to the relevant process, and he wants to rely on brain overclocking to solve the problem. He does not know how many points and energy capsules will be consumed.

At least what he has left now is far from enough.

Learning number theory in depth is a demand for new knowledge, which gives him pleasure.

Not intended to prove a conjecture.

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

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

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

"Let's leave this problem to you, Dr. Minter."

To put it simply, I will not compete with you for the proof of Goldbach's conjecture.

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

After all, although he is not very interested in proving the mathematical problems of other worlds, who can say for sure what will happen next, maybe one day he will be inspired to prove Goldbach's conjecture.

Hearing Xu Yun's words into his ears, Ming Te's mood at the moment was so depressed and complicated.

Even though he is a Ph.D. student in the Department of Mathematics of Harvard University, he is not as good as the undergraduate who is busy defending, and he is still in the field of number theory, which he is best at.

If I had known earlier, I would not have followed the teacher.

He regretted it a little.

Xu Yun didn't know what Dr. Minter was thinking at the moment. Just as he was about to say something, 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 with them turned into Qin Xiangxin and Tang Yanshan.

"headmaster."

"Professor Griffith."

Standing up quickly, he greeted Qin Xiangxin and Tang Yanshan politely and proactively.

"How was your communication with Dr. Minter?"

Wu Zhongping seemed to be asking casually, but in fact he was a little worried, afraid that Xu Yun would be made things difficult by Ming Te.

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

I haven't studied in depth or consulted professors in this field at all. If Ming Te deliberately made things difficult for me, I would feel a little embarrassed.

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

Before Xu Yun could answer, Dr. Minter, who also stood up next to him, spoke first.

"Xu Yun has a deep understanding of number theory, and what he said made me suddenly enlightened. I hope to continue to communicate when I have the opportunity in the future."

As the words fell, several people, including Wu Zhongping, had some doubts in their hearts.

Number theory is an elective course in the Department of Mathematics of Peking University, and none of them knew that Xu Yun had studied it systematically.

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

"Did the doctor say that on purpose?"

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

"You are really the most gifted math genius I have ever seen." Griffith is well aware of his student's character, and he can make him take the initiative to praise others in his field of expertise, which shows that Xu Yun is indeed very good at number theory and loves talent. The heart sprouted and couldn'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. Number theory is far more profound than I thought."

Xu Yun responded humbly 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 the report meeting were half-buried in the ground due to their age, and they basically went to bed very early.

Therefore, the evening party before the report meeting did not last too long, and soon the ceremony hall became quiet.

Everyone is looking forward to tomorrow in the best condition to welcome this grand event belonging to the entire mathematics community.

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

...

the next day.

Around nine o'clock in the morning.

The largest academic lecture hall of Jingzhou University is already full of people, and anyone who can be found at random is 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 entrance on the video platforms of major websites, it will also be broadcast in real time on TV stations.

It even reports globally on international channels.

It can be said that this is the first time such a large-scale report meeting has been held since the establishment of the domestic mathematics community.

Before the report meeting officially started, heated discussions have already started on the Internet.

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