Chapter 268 The Beautiful Second Proof
December 9, 2009, Princeton Hotel Conference Hall.
A young man on the stage scolded Fang Qiu.
A group of university scholars in the audience were attentive.
If someone were to ask the scholars present at this time, is Xu Qingshan crazy?
Then 80% of people should 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 being so crazy?
People who originally came to the conference just came with the mentality of not missing an important achievement and a huge progress node in the field of number theory in recent years.
Perhaps Qingshan’s sudden change of heart knocked down this milestone in one piece.
Those scholars who were leaning back on their chairs to observe Xu Qingshan with appreciative and critical eyes unknowingly straightened their backs, took out pens and papers, and waited to record and calculate Xu Qingshan's key steps.
The popularity 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 issue that is simple to express and difficult to crack.
Many people say that this speculation is unreasonable and groundless.
Because he has indeed been perplexing the mathematical community, leaving countless people racking their brains and still finding nothing.
And it’s not that they failed to prove it halfway, but they couldn’t even find the door.
Even if you are not a scholar in the field of number theory, you will have heard about it and have a rough understanding of it.
Xu Qingshan’s slender hands had clear joints. He held the chalk and wrote concisely on the blackboard the proof process he had prepared long ago.
Because I have been prepared for it and because I have thought about it over and over again.
Xu Qingshan didn’t even use the third blackboard, there were two blackboards, both blackboards were covered with simple and beautiful mathematical calculations.
Normally.
Even if people in the same field publish the results of deductions and conjectures on-site and show everyone the proof process, there will be different answers depending on everyone's academic level and understanding ability.
This has been confirmed by Xu Qingshan when he demonstrated the general form of the twin prime conjecture on the spot when he was at Beijing University.
But today is different.
Xu Qingshan’s concise formulas, clear expressions, and unambiguous proof routes.
This allowed some scholars who did not have that deep understanding of Mersenne primes to be able to successfully understand his proof ideas and methods on the spot.
“This is really a perfect answer.”
As the first Princeton scholar present to recognize Xu Qingshan’s academic ability, Charles Fefferman immediately expressed his exclamation and approval. .
"I think his use of symmetry is so wonderful. My God, I really should let Mr. Titz come and take a look!"
Deligne grabbed Burgan's arm next to him. , pointing at Xu Qingshan on the stage, and said excitedly.
"Hey, I bet you, this kid definitely has the potential to become the strongest mathematician of this century. He is only 19 years old. I think the damn Fields Medal should be awarded to him at the Mathematicians Conference next year."
The gambling king Bangbieli has already embraced a big boss next to him and started looking for someone to bet with.
John Milnor, who was sitting in front of Tian Gang, also turned his head at this time. He did not speak, but nodded towards Tian Gang and showed an affirmative smile.
Time passes bit by bit.
Like a stream, it is difficult to tell where it flows.
Originally, it was only planned to give a 45-minute opening report. No one stopped Xu Qingshan's actions. Instead, he was allowed to use nearly two hours to present this landmark certification report vividly.
“Above, when P<2^(2^(N+1)), Mp has 2^(N+2)-N-2 prime numbers.”
“ Therefore, Zhou’s guess was confirmed.”
Xu Qingshan put down the chalk in his hand, raised his palm to the blackboard behind him, and stepped aside half of his body.
He believed that the protagonist of this report should be the proof process on the blackboard, not the people.
When Xu Qingshan finished speaking, thunderous applause erupted from the audience.
There are several compliments mixed in, almost all of which are inseparable from the word "beautiful".
"Okay, then my assistant Jiang Huanxi will help me complete some supplementary proofs of the derivation formulas to complete the details of Zhou's guess for everyone."
Xu Qingshan felt that his throat was about to burst. Smoked.
As expected, there is no way to explain two important conjectures clearly in the same report. It’s not that my brain can’t keep up, but that my physical strength and voice can’t keep up.
"Come on, Xiaoxi."
Xu Qingshan walked to one side and stood on the stage. Jiang Huanxi stood under the stage, looking at him nervously.
"I um, okay."
Jiang Huanxi gritted his teeth, handed Xu Qingshan the chrysanthemum tea and throat lozenges he had prepared for Xu Qingshan, and walked up to the podium.
She stood on the podium.
The scholars in the audience were a little surprised to see such a young girl standing on the podium. However, thinking of the assistant Xu Qingshan just mentioned, they started to talk about Xu Qingshan just now with their friends and colleagues. There are some steps in the proof that are too beautiful to be true.
It is different from the scene when Xu Qingshan gave a speech just now, where everyone was listening and recording attentively.
Jiang Huanxi just moved the microphone and had not even started to speak.
There was already chatter in the audience, and there were some people whose bladder function was not particularly good. They waited until the spot of pee appeared, and then they all left their seats to line up for the toilet.
Xu Qingshan’s hard control for more than an hour just now was a crazy challenge to their bladders.
The venue was instantly empty.
Jiang Huanxi encountered such a scene when he came to the stage for his first academic conference.
Xu Qingshan looked calm in the audience, because he had told Jiang Huanxi before about such a scene, and Jiang Huanxi had already been mentally prepared.
“Huh”
Jiang Huanxi breathed a sigh of relief.
This state was actually not bad. She was not sad. Instead, she felt relaxed because she would not be the focus of attention.
"Next, I will bring you Mr. Xu's supplementary deduction and argumentation in the process of proving Zhou's conjecture."
Jiang Huanxi explained with broken eyes.
She seemed to have entered a business state, and her speech was actually pretty good. Xu Qingshan drank chrysanthemum tea while watching, nodding from time to time.
Although many people in the venue went out, the big guys in the first two rows were basically still sitting there chatting about some of the amazing tricks Xu Qingshan had just used. A way to see talent at a glance.
But with Jiang Huanxi's supplementary argument, Burgan, who had always been very low-key and not very vocal, suddenly raised his hand to stop Sir Deligne from continuing to share the beauty of symmetry he had discovered in Xu Qingshan's proof, and let others listen on the stage. Jiang Huanxi's explanation.
“This little girl should be Xu’s girlfriend, right?”
Burgan’s eyes lit up.
"Didn't you notice? Her calculation talent and her derivation speed of proof. Although judging from the current proof process, they should have prepared a draft, but for that part just now, Yes, as for the random part, she pushed it on the spot.”
Burgan suddenly started talking more, and everyone else’s attention also came to the stage.
Jiang Huanxi didn't notice at all. She was still completing the tasks assigned to her by Xu Qingshan seriously and meticulously.
Nearly half an hour passed before Jiang Huanxi stopped writing.
As a result, before she could continue to breathe a sigh of relief and suddenly look up, she found that people in the conference hall had sat back at some point, and many people were looking at her and the supplementary people behind her seriously. Argument.
Just when Jiang Huanxi was in a panic and wanted to escape from the podium, he heard gentle praise coming from the first and second rows of the stage.
“Excellent addition, thank you for your hard work.”
Jiang Huanxi bowed hastily and ran off the stage to hide next to Xu Qingshan. "How do you feel?"
Xu Qingshan was not in a hurry to come on stage, but asked everyone to digest the most complete version of the derivation proof. He reached out and rubbed Jiang Huanxi's small Looking at her nervous and sweaty forehead, he smiled and comforted her.
“Is there nothing to be afraid of? Everyone is still very friendly.”
“It’s okay. It’s just that the way everyone looked at me just now made me a little too nervous.”< br>
"Just use the state of concentration you had when you were proving. After all, you will still have to make reports independently in the future."
"Don't think about that now, ugh. Come up quickly."
Jiang Huanxi found that after she stepped down from the stage, many people still looked over. Although they were all admiring looks, they still made her feel uncomfortable.
“Okay, okay.”
Xu Qingshan returned to the stage, and then his eyes returned to him.
Jiang Huanxi breathed a sigh of relief in the audience and continued to drink the remaining chrysanthemum tea that Xu Qingshan had just drank. She was so nervous that her voice 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 answer them as much as possible. I have now synchronized the more detailed and complete proof of Zhou's guess. On arXiv.”
Xu Qingshan just finished speaking.
Someone in the audience interrupted him, but they were just acquaintances.
"Hey! Xu, you must send me this paper. "Annals of Mathematics" will never miss such a paper."
Charles Fefferman didn't care about etiquette.
He knew that there were also scholars from Europe present, editors and reviewers of "Acta Mathematica". If it was the other two companies, he wouldn't care much, but the influence of "Acta Mathematica" and "Annals of Mathematics" Just between them, these two years are also the key years for "Annals of Mathematics" to make every effort to surpass "Journal of Mathematics" in terms of 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 defeat his opponents.
"Charles, don't worry."
Xu Qingshan said with a smile on the stage.
"My preparation is not just Zhou's guess."
"Wow!"
The scene was in an uproar.
Xu Qingshan can be considered a spoiler in advance.
The audience could not be quiet for a while, and there was a lot of discussion.
However, the answer that is most unanimously recognized by everyone is also the closest to the correct answer.
"Xu, have you also made more breakthroughs in the twin prime conjecture?"
Deligne raised his head, his eyes shining, such a respected university student The reporter raised his hands and asked Xu Qingshan like a primary school student trying to speak.
The scene became quiet again, waiting for Xu Qingshan’s answer.
Xu Qingshan nodded.
Deligne still held the pen in his hand. His pen pointed at the ceiling and shook, and he asked again.
"Have you finished it?"
Deligne's voice was slightly trembling. He was excited and happy.
"You are right, ser."
Xu Qingshan raised the chalk again and pulled down the empty blackboard.
[Complete proof of the twin prime conjecture]
After starting the title, Xu Qingshan suddenly stopped writing.
Everyone in the audience was staring at Xu Qingshan's hand and pen attentively. Their curiosity and excitement were aroused by Xu Qingshan's title, but they saw Xu Qingshan suddenly put down his pen.
Xu Qingshan pretended to be embarrassed and coughed twice.
"I forgot, the organizing committee should have other arrangements this afternoon. I have already wasted too much of everyone's time. How about we leave this part until the end? I mean the last report, otherwise I will give it to you then. There’s nothing left to say.”
Xu Qingshan smiled.
The old guys in the audience don’t know what he means. They have all lived for seventy or eighty years, and they are all human beings.
“Hasiah!”
Mr. John Milnor, who had been silent but smiled happily, spoke.
"Mr. Milnor."
The head of the organizing committee of the American Mathematical Society who had been invisible appeared out of nowhere.
"Let's adjust the meeting arrangements. I don't think anyone wants to leave such a great moment until the day after tomorrow."
"Okay sir."
Hasia smiled flatteringly, then turned her head and smiled warmly at Xu Qingshan on the stage.
"Sir, you can keep reporting. If you are not tired, we will modify the schedule immediately. Today is Xu Qingshan Day. This is your own stage."
Xu Qingshan was a little surprised. Yes, when Hassia, a Yankee, said his name, his pronunciation was quite standard.
"Thank you, Mr. Hasiyah."
Hasia completed his mission and exited safely.
“You can continue your performance now, Xu.”
John Milnor smiled brightly. He used the word "show", but it was not a mockery, but a compliment full of energy. Anyone who knows Milnor well knows that this means that Xu Qingshan's show is in his eyes. , can already be called the art of mathematics.
"I am also very grateful to you, respected Mr. Milno."
Xu Qingshan bowed slightly, and then picked up the chalk again.
The Xu Qingshan who started giving the report and the Xu Qingshan who didn’t give the report were completely different, as if they were two different people.
Line after line of calculations that are smooth and full of beauty flow out from his writing.
It’s like a torrent of wisdom spreading across the world.
At least in the field of number theory, his two proofs caused huge waves.
Jiang Huanxi is sitting on the edge of the stage. She is using her computer to organize and synchronize the proof papers and publish them on arXiv to ensure intellectual property rights. Although the meeting minutes are also guaranteed, having one more guarantee also makes it easier for other scholars to access them immediately. Seeing the paper, it’s okay for them to do this.
“In the definition of twin prime numbers, many scholars have often ignored this point when proving it before.”
“Let us make bold assumptions and verify them carefully.”
"So here, we can come to such a conclusion -"
Xu Qingshan's talent and brilliance bloomed to the extreme 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 is also because they are overly excited.
Because, a rising youth miracle is right in front of them, gradually stepping into legend!
(End of this chapter)