Chapter 159 The Challenge from the Clay Mathematics Institute
When Wells found Xu Yuan, Xu Yuan was discussing twin prime numbers with more than a dozen mathematicians. In addition to those who came from China to attend the conference, most of them were from overseas, and they were all professors in the mathematics departments of famous universities.

Since he proved the twin prime conjecture to contain positive numbers smaller than 246 prime pairs.

In order to further promote the proof of the twin prime conjecture, the academic community deliberately launched a challenge.

Mobilize everyone's enthusiasm and participate in the proof of the twin prime conjecture.

Strive to win the crown as soon as possible.

In the past, academic research on the twin prime conjecture has stagnated, and there has been no progress for many years.

Although many scholars have studied twin prime numbers, no one has yet started.

Now, Xu Yuan has relied on an innovative screening method to directly reduce the number of twin primes to less than 246 prime number pairs. This is equivalent to pointing out the way for everyone and may even be of great help.

In this case, we only need to follow Xu Yuan's ideas, or continue to improve the sieve method on this basis, and we may be able to truly complete the proof of the twin prime conjecture.

For many scholars, this attraction is undoubtedly huge.

However, after so much time has passed, the highest record is still the 246 prime number pairs proved by Xu Yuan.

It can't even be reduced by one digit.

It's like twin primes can only be proven to this extent.

I finally met Xu Yuan by attending the Mathematicians' Conference this time, so I must find an opportunity to ask for his advice.

So when we met at the conference today, I found a place to ask questions related to twin primes.

The Mathematicians' Conference was coming to an end these two days, and Xu Yuan attended many lectures, so in the end he didn't mind explaining his research on twin primes to them.

"Everyone wait a moment."

After Xu Yuan noticed Wells, he temporarily stopped his explanation, said something to everyone, and then stood up to greet him.

"Professor Wells."

Just as I took the initiative to say hello, I heard Wells' very excited voice.

"You know what, Xu? Your conclusion on the singularity of differential geometry is completely valid."

"This is a very big research achievement for the branch of differential geometry."

“This is the first time I’ve seen someone report on solving a core problem in a branch field at a mathematician conference.”

"Deligne is right."

"Your report will really bring me a surprise."

Xu Yuan listened to everything Wells said, and then he had the chance to look at him carefully.

Different from what he saw at the report meeting two days ago, Wells' hair looked a little messy at this moment, especially the quite obvious dark circles under his eyes. One look at him showed that he probably didn't get much rest in the past two days.

However, the whole person's spirit is very excited, and there is no sense of fatigue from staying up late for a long time.

It can be seen that he was indeed quite happy about the proof of the singularity of differential geometry.

After a short pause of two seconds, Xu Yuan said, "Professor Wells, have you been verifying the conclusions these two days?"

"of course."

"Not only is your conclusion correct, but your process and thinking are also very clever." Wells nodded in response with a smile.

Although he had only met Xu Yuan twice, he was already as generous in praising him as Deligne.

Xu Yuan had long been confident in his thesis, and there was only one valid conclusion.

But facing Wells, he still said respectfully: "Thank you Professor Wells for your recognition of me."

The people who were asking Xu Yuan about twin prime numbers not far away were also quite shocked when they heard Wells' words.

Although their main research area is number theory, everyone knows that Xu Yuan announced in his report in the past two days that he has proved the singularity of differential geometry. The reason why the number of people attending the report meeting dropped sharply is because of this.

Even some of their familiar friends are currently busy verifying the information in their hotel rooms.

Naturally, everyone is more familiar with Wells of the Clay Mathematics Institute.

Since even Wells said the conclusion is valid, there will basically be no problem.

So someone immediately took out his mobile phone and prepared to contact his friends to inform them of this matter.

"It is worthy of the major breakthrough in the twin prime conjecture. It actually proves the strangeness of differential geometry. I am afraid that the academic community will set off a new wave of research on differential geometry."

"Professor Wells has said that the conclusion is valid, so there must be nothing wrong with it."

"My good friend hasn't come out of his room for two days. I hope this news will make him give up the verification."

"Wells is indeed from the Clay Mathematics Institute. He is the first one to verify the conclusion."

The more Wells saw Xu Yuan's attitude and performance, the more he appreciated it. He waved his hand and said with a smile: "It is you who successfully proved the singularity of differential geometry. Otherwise, it would be useless whether I agree or not." But he felt a little regretful when he thought that the other party had refused to join the Clay Institute.

Then, as if he had thought of something, he suddenly encouraged her, "I am very optimistic about your performance in mathematics. Maybe it won't be long before you can solve the remaining problems of the Millennium Prize."

Xu Yuan felt pressured when he heard Wells' words. He didn't expect that the other party would directly ask him to solve the Millennium Prize problem.

"Except for Perelman's proof of the Poincare conjecture, there has been no progress on the remaining problems, which are still too difficult for me."

"With your mathematical talent, I can only say that you have the greatest hope of solving the Millennium Prize problem." Wells smiled and replied after listening to Xu Yuan's words.

The conversation between the two also frightened those people not far away.

The Millennium Prize Problem can be said to be the ceiling of mathematics, and to date only Perelman has succeeded.

It is unimaginably difficult for others to prove it. Xu Yuan is indeed very talented in mathematics, but after all, he has only been a prominent figure in the mathematics world for two or three years. It is not enough for him to try to solve the Millennium Prize problem at his current level.

But they heard something.

Professor Wells of the Clay Mathematics Institute is very confident that Xu Yuan can solve these difficult problems.

So much so that they couldn't help but discuss with each other.

"Professor Wells said Xu Yuan can prove the Millennium Prize puzzle. Do you think it's possible?"

"Except for the Poincare conjecture that was solved by Perelman, the remaining problems can even be said to be impossible to solve, so I don't quite agree that he can solve the rest of the world's problems."

“Perhaps the Poincare conjecture is the only one that can be proved.”

"If he doesn't make any progress before he's forty, I'm afraid it will never be proven."

"I guarantee that if he can really solve the Millennium Prize problem, the whole world will go crazy for him."

……

Xu Yuan naturally also heard what those people were discussing, but he didn't take it too seriously.

no doubt.

As a mathematician, it is natural to challenge the highest temple of mathematics. Whether you succeed or not, you have to try to know.

But it is foreseeable that this process will inevitably take a lot of time, so he currently has no intention of proving the Millennium Problem.

The thought stayed here, and he continued to talk to Wells without changing his expression:

"Professor Wells."

"Is this a challenge given to me on behalf of the Clay Mathematics Institute?"

“You can take this as a challenge,” Wells replied. “I believe the entire mathematical community will be looking forward to this day.”

Considering that Wells hadn't had much rest for two days, Xu Yuan didn't talk to him for too long and let him go back to the hotel to rest first.

With Wells publishing his own proof, Xu Yuan's proof of the singularity of differential geometry became more and more popular. In addition, other people later gave the same results, which basically confirmed that the singularity of differential geometry was proved.

Even the official Mathematician Congress officially released a message to congratulate Xu Yuan.

Based on past experience, the most attention from the outside world at the Mathematicians' Congress is the announcement of the Fields Medal.

Basically, there will be a discussion about the Fields Medal winners.

But this year is completely different.

First, Xu Yuan's winning of the first Gauss Medal was widely reported, and the amount of discussion on the topic far exceeded that of Terence Tao and others.

Now that the conference is coming to an end, it has suddenly been proved that the singularity of differential geometry provides a new tool for the study of differential geometry, making the mathematical community and the outside world lively again.

Xu Yuan already has fans overseas, and now that he has attracted so much attention by attending the Mathematicians' Congress, it is natural that there will be a lot of comments in the relevant communities.

Some of them were even posted by domestic netizens who specifically climbed over the wall to get first-hand information.

"There is a reason why the International Mathematical Union awarded the first Gauss Prize in Mathematics this time."

“It’s really cool to prove the singularity of differential geometry at a lecture.”

“Why didn’t he win a Fields Medal?”

"It's a pity that our country doesn't have this kind of talent."

"You are worthy of being the pride of our Qinghua. God Xu is so awesome. I look forward to your triumphant return."

"We have more mathematical geniuses in Korea, and they will definitely be better than him in a few years."

……

Xu Yuan did not pay any attention to the news on the Internet. After officially attending the closing ceremony of this Mathematical Congress, he also announced that the Mathematical Congress had come to a successful conclusion.

Next, Xu Yuan will go back with everyone.

When I think of the honor I have received, I also eagerly want to share this joy with my family, loved ones and friends.

To put it simply, I am eager to go home.

Since they didn't have much luggage to begin with, they packed it up quickly.

Plus, we were taken directly to the airport by a special car, so the whole trip went quite smoothly.

It was not until everyone boarded the plane that Ma Zhiming had the leisure to chat with Xu Yuan.

"How do you feel? Do you feel different this time when you return home than before?"

"A little bit." Xu Yuan nodded in admission.

"You are now a hot new mathematical star in China, and you have just proved the singularity of differential geometry. I wonder how many media outlets are waiting to interview you."

Ma Zhiming smiled and comforted Xu Yuan, "But you deserve all the flowers, honors and applause. You don't have to be nervous. Just keep a normal mind."

"Even if we can't figure it out, we still have our Mathematics Council, Qinghua University, and Yenching University."

"I understand, Academician Ma."

After listening to Ma Zhiming's words, Xu Yuan suddenly calmed down a lot. He nodded again and stopped thinking about these trivial things.

(End of this chapter)