Just turned over a new leaf and became a wise and intelligent student

Chapter 268: Beautiful Second Proof

December 2009, 12, Princeton Hotel Conference Hall.

A young man on the stage was speaking with great power.

A group of great scholars in the audience were concentrating attentively.

If someone asked the scholars present at this time, is Xu Qingshan crazy?
Then probably 80% of people would give a positive answer.

But if you ask them whether this is right or wrong, they will definitely tell you that this is what Xu Qingshan deserves.

What's wrong with capable people clicking wildly?
Those who originally came to attend the conference simply wanted to avoid missing out on an important achievement and huge progress in the field of number theory in recent years.

But Xu Qingshan's sudden change of mind completely destroyed this milestone.

Those scholars who were originally leaning back in their chairs and observing Xu Qingshan with admiring and scrutinizing eyes, straightened their backs unconsciously, took out paper and pens, waiting to record and calculate Xu Qingshan's key steps.

The fame and status of Mersenne primes are extremely high.

Zhou's conjecture has attracted much attention since it was proposed. It has been introduced in mathematics dictionaries and textbooks published at home and abroad. It is an important problem that is simple to express and difficult to solve.

Many people say that this speculation is wild and unfounded.

Because he has indeed been puzzling the mathematical community, causing countless people to rack their brains but still to get nothing.

And it’s not that they were halfway through the proof and got no results, but that they couldn’t even find the door.

Even if you are not a scholar in the field of number theory, you will have heard of it and have a rough understanding of it.

Xu Qingshan's slender hands had distinct joints. He held a piece of chalk and concisely wrote on the blackboard the proof process he had prepared long ago.

Because I was well prepared and had thought it over repeatedly.

Xu Qingshan didn't even use the third blackboard. The two blackboards were covered with simple and beautiful mathematical formulas.

Normally.

Even if the results of deductions and conjectures in the same field are released on site and the proof process is shown to everyone, there will be different understandings and answers due to each person's academic level and understanding ability.

This point was confirmed by Xu Qingshan when he was at Peking University, when he solved the general form of the twin prime conjecture on site.

But today is different.

Xu Qingshan's refined formulas, clear expressions, and undisputed proof routes.

This allowed some scholars who did not have a deep understanding of Mersenne primes to successfully understand his proof ideas and solution methods on the spot.

“This is really a perfect answer.”

Charles Fefferman, the first Princeton scholar present to recognize Xu Qingshan's academic ability, immediately expressed his admiration and recognition.

"I think his use of symmetry is so beautiful. My God, I should ask Mr. Titz to come and see it!"

Deligne grabbed Bourgan's arm and pointed at Xu Qingshan on the stage, speaking excitedly.

"Hey, I bet you that this kid has the potential to become the best mathematician of this century. He is only 19 years old. I think the damn Fields Medal should be awarded to him at the Mathematicians' Congress next year."

Gambling king Bangbieli has already embraced a big boss around him and started looking for someone to bet with.

John Milno, who was sitting in front of Tian Gang, also turned his head at this time. He didn't say anything, but just nodded at Tian Gang with an affirmative smile.

Time passes bit by bit.

Just like a stream, it is difficult to tell where it is flowing.

The original plan was to give a 45-minute opening report, and no one tried to stop Xu Qingshan. Instead, he was allowed to use nearly two hours to fully present this landmark report.

“以上，当P<2^(2^(N+1))时，Mp有2^(N+2)-N-2个是素数。”

"Therefore, Zhou's guess was confirmed."

Xu Qingshan put down the chalk in his hand, raised his palm towards the blackboard behind him, and moved half of his body away.

He believes that the protagonist of this report should be the proof process on the blackboard, not the person.

As soon as Xu Qingshan finished speaking, thunderous applause broke out from the audience.

There were several compliments interspersed among them, almost all of which involved the word "beautiful".

"Okay, next my assistant Jiang Huanxi will help me complete some supplementary proofs of the derivation formulas to complete the details of Zhou's conjecture for everyone."

Xu Qingshan felt like his throat was about to smoke.

As expected, there was no way to explain two important conjectures clearly in the same report. It was not that my brain could not keep up, but my physical strength and voice could not keep up.

"Come on, Creek."

Xu Qingshan walked to one side and stood on the stage. Jiang Huanxi stood below the stage, looking at him nervously.

"I um, okay."

Jiang Huanxi gritted her teeth, handed the chrysanthemum tea and throat lozenges she had prepared for Xu Qingshan to Xu Qingshan, and then walked up to the podium.

She stood on the podium.

The scholars in the audience were a little surprised to see another young girl standing on the podium, but when they thought of the assistant Xu Qingshan had just mentioned, they began to talk to their friends and colleagues about some of the unspeakably beautiful and clean steps in Xu Qingshan's proof.

This was different from the scene when Xu Qingshan was giving a speech just now, where everyone was listening and taking notes attentively.

Jiang Huanxi had just moved the microphone and hadn't started speaking yet.

There were already sounds of conversation coming from the audience, and some people whose bladder function was not very good waited until the urination point appeared, at which time they left their seats and lined up for the toilet.

The more than one hour of hard control that Xu Qingshan had just done was a crazy challenge to their bladders.

The venue suddenly became much emptier.

When Jiang Huanxi took the stage at his first academic conference, he encountered such a scene.

Xu Qingshan looked calm in the audience, because he had told Jiang Huanxi about such a scene before, and Jiang Huanxi was mentally prepared.

"call"

Jiang Huanxi breathed a sigh of relief.

This state is actually not bad. She is not sad. Instead, she feels relaxed because she is not the focus of attention.

"Next, I will present to you Mr. Xu's additional deductions and arguments in the process of proving Zhou's conjecture."

Jiang Huanxi explained with a confused look in his eyes.

She seemed to have entered a business state, and her speech was actually quite good. Xu Qingshan watched her while drinking chrysanthemum tea, nodding from time to time.

Although many people in the venue had left, except for those with really weak bladders, the big guys in the first two rows were basically still sitting there chatting about some of the methods Xu Qingshan had just used that could make people see his talent at a glance.

But as Jiang Huanxi made additional arguments, Bourgan, who had always been low-key and rarely expressed his opinions, suddenly raised his hand to stop Sir Deligne from continuing to share the beauty of symmetry that he had discovered in Xu Qingshan's proof, and asked others to listen to Jiang Huanxi's explanation on the stage.

"This little girl should be Xu's girlfriend, right?"

Burgan's eyes lit up.

"Didn't you notice? Her talent for calculations, and her speed in deducing proofs. Although judging from the proof process now, they should have prepared a script in mind, but the part just now, yes, the part with randomness, she deduced it on the spot."

Burgan suddenly became talkative, and everyone else's attention was drawn to the stage.

Jiang Huanxi was completely unaware of this. She was still conscientiously completing the task assigned to her by Xu Qingshan, completing it meticulously.

Nearly half an hour passed before Jiang Huanxi stopped writing.

Before she could continue to breathe a sigh of relief, she looked up and realized that people had returned to their seats in the conference room, and many of them were looking at her and the supplementary arguments behind her seriously.

Just when Jiang Huanxi was about to escape from the podium in a panic, he heard gentle praise coming from the one or two rows below the stage.

“Excellent addition, thank you for your hard work.”

Jiang Huanxi bowed hastily and ran off the stage to hide beside Xu Qingshan. "How is it, how do you feel?"

Xu Qingshan was not in a hurry to go on stage, but let everyone digest the most complete version of the derivation and proof. He then reached out and rubbed Jiang Huanxi's little head, looked at her forehead which was sweating from nervousness, and smiled and comforted her.

"Isn't it really that scary? Everyone is still very friendly."

"Yeah, I'm fine. It's just that the way everyone looked at me just now made me a little too nervous."

"Just use the same concentration you had when you were proving it. After all, you will still have to write a report independently in the future."

"Don't think about that for now. Go up quickly."

Jiang Huanxi found that after she stepped down from the stage, many people still looked over here. Although they all looked at her with admiration, she still felt uncomfortable.

"Good good."

Xu Qingshan returned to the stage and the focus returned to him.

Jiang Huanxi breathed a sigh of relief in the audience and continued to drink the chrysanthemum tea that Xu Qingshan had just left. She was so nervous that her vocal cords were a little stiff.

Xu Qingshan nodded towards the audience.

"It seems that everyone has forgiven my little willfulness. If you have any questions, you are welcome to ask them on the spot. I will try my best to answer them. I have now synchronized a more detailed and complete proof of Zhou's conjecture to arXiv."

Xu Qingshan just finished speaking.

Someone in the audience interrupted him, but it was an acquaintance.

"Hey! Xu, you must send this paper to me. Annals of Mathematics will never miss such a paper."

Charles Fefferman had no regard for etiquette.

He knew that there were scholars from Europe present, including editors of Acta Mathematica Sinica. If it were the other two journals, he would not care much, but the influence of Acta Mathematica Sinica and Annals of Mathematics was comparable. These two years were also the key years for Annals of Mathematics to surpass Acta Mathematica Sinica in academic influence.

If this paper on the proof process of Zhou's conjecture can be published in the "Annals of Mathematics", Charles believes that next year's impact factor, evaluation, and high citations will definitely be able to defeat the competition.

"Charles, don't worry."

Xu Qingshan said with a smile on the stage.

"My preparations are not just Zhou's guesses."

"Wow!"

There was an uproar at the scene.

Xu Qingshan's statement can be considered as an advance spoiler.

The audience couldn't keep quiet for a while and was talking a lot.

However, the answer that is most unanimously recognized is also the closest to the correct answer.

"Xu, have you made more breakthroughs in the twin prime conjecture?"

Deligne raised his head with shining eyes. Such a highly respected scholar raised his hand and asked Xu Qingshan questions like a primary school student trying to speak.

Everyone at the scene fell silent again, waiting for Xu Qingshan's answer.

Xu Qingshan nodded.

Deligne still held the pen in his hand, and his pen pointed at the ceiling and shook, and he asked again.

"Are you done?"

Deligne's voice trembled slightly; he was excited and happy.

"You are right, sir."

Xu Qingshan raised the chalk again and pulled down the empty blackboard.

【Complete proof of the twin prime conjecture】

After coming up with a title, Xu Qingshan suddenly stopped writing.

The people in the audience were originally staring intently at Xu Qingshan's hands and pen. Their curiosity and excitement were aroused by Xu Qingshan's title, but they saw Xu Qingshan suddenly put down his pen.

Xu Qingshan coughed twice in pretending to be embarrassed.

"I forgot. The organizing committee should have other arrangements this afternoon. I have already wasted too much of everyone's time. How about we save this part for the last? I mean the last report, otherwise I will have nothing to say then."

Xu Qingshan smiled.

The bunch of old guys in the audience knew what he meant. They were all in their seventies or eighties and were all very smart.

"Hasiya!"

Mr. John Milnor, who had been silent but smiling happily, spoke.

"Mr. Milnor."

The head of the organizing committee of the American Mathematical Society, who had been in hiding, suddenly appeared out of nowhere.

"Let's adjust the meeting schedule. I don't think anyone would want to leave such a great moment until the day after tomorrow."

"Ok sir."

Hasiya smiled flatteringly, then turned and smiled warmly at Xu Qingshan on the stage.

"Sir, you can keep reporting. If you are not tired, we will immediately modify the schedule. Today is Xu Qingshan Day. This is your own stage."

What surprised Xu Qingshan a little was that when Hasiya, an American, said his own name, his pronunciation was quite standard.

"Thank you, Mr. Hassia."

Hasiya completed his mission and left safely.

"You can continue your performance now, Xu."

John Milnor smiled brightly. He used the word "show", but it was not a mockery. Instead, it was a compliment full of energy. People who are familiar with Milnor know that this means that in his eyes, Xu Qingshan's performance can be regarded as the art of mathematics.

"Thank you as well, Mr. Milnor."

Xu Qingshan bowed slightly, then picked up the chalk again.

Xu Qingshan when he started giving the report was completely different from Xu Qingshan when he didn't, as if they were two different people.

Lines of smooth and beautiful formulas flowed out from his pen.

It's like a torrent of wisdom spreading across the world.

At least in the field of number theory, his two proofs caused a huge wave.

Jiang Huanxi was sitting at the edge of the stage. She was using her computer to organize and publish the proof paper to arXiv to ensure intellectual property rights. Although there were conference minutes to protect it, having an extra layer of protection would also make it easier for other scholars to see the paper immediately, so there was nothing wrong with them doing this.

"In the definition of twin primes, many scholars have often overlooked this point when proving it."

“Let us make bold assumptions and test them carefully.”

"So here, we can come to such a conclusion——"

Xu Qingshan's talent and brilliance blossomed to the fullest on the podium, and were clearly visible.

A slightly sickly flush began to appear on the faces of the scholars in the audience.

That's because they persisted for a long time.

It's also because they are overexcited.

Because, a rising youth miracle is right before their eyes, gradually stepping into legend!

(End of this chapter)