The top student must be diligent.

Chapter 103 Young Genius
"Mr. Xiao Yi, what do you think of today's report?"

“Do you think your proof was successful?”

"I would like to know what motivated you to study the twin prime conjecture? Did anyone help you in this process?"

……

Reporters from various media outlets raised their microphones and asked Xiao Yi.

Faced with this situation, Xiao Yi felt helpless for a moment.

When he came out of the hotel just now, he found a group of reporters gathered downstairs.

Fortunately, the organizing committee of the annual mathematics conference had anticipated this situation, so they prepared a car for him and took him directly here from the hotel.

What he didn't expect was that when he arrived here, there were a lot of reporters waiting for him.

He simply recognized it, hmm...

There are reporters from Princeton, reporters from other media in New Jersey, and some media that are well-known both in the United States and internationally.

For example, the New York Times, the Washington Post, and even the European News Television, which had interviewed him at the Max Planck Institute for Mathematics.

Fortunately, a staff member quickly came forward to rescue him, allowing him to escape from the encirclement.

He walked all the way to the door of the lecture hall. After climbing the stairs, he suddenly turned around and said to the reporters: "Thank you for the attention of all major media. I will simply answer a few questions."

"First of all, I would like to thank Princeton University and the organizing committee of this conference for their support. It allows me to hold a special lecture on the twin prime conjecture. It is my honor."

"As for whether my proof is successful, you should not ask me this question, but leave it to the mathematical community. My opinion is not important."

"Of course -" Xiao Yi smiled confidently at this time: "I am very confident about this matter."

As soon as he said this, there was applause.

The mathematics scholars or enthusiasts who were watching around applauded his confidence.

"Finally, if anyone has helped me in my research on the twin prime conjecture, I would like to thank Professor Gerd Faltings. It was he who suggested that I study the Elliott-Halberstam conjecture first, and in the process, he also provided great help for my later research on the twin prime conjecture."

"Professor Faltings is indeed an experienced senior..."

As Xiao Yi told the story, people realized that there was such a thing. He really deserves to be called Professor Faltings!

……

"I think you should treat me to a few meals when you get back."

Behind the door of the lecture hall, listening to Xiao Yi's words, Schultz spoke quietly to Faltings beside him.

Faltings' eyes twitched, and then he said with a dark face: "Please... If I had known, I would not have told you about that matter."

Otherwise, if other people knew the truth, his image would be ruined.

At this time, Xiao Yi also finished talking to the reporters. The reporters let him go with satisfaction. As soon as he came in, he saw Schultz and Faltings, and shouted happily: "Professor Schultz, and Professor Faltings."

"You guys are here too."

Schultz glanced at Faltings next to him, then smiled and said to Xiao Yi: "Yes, after all, we agreed at the beginning that as long as you come, we will come too."

At this time, Faltings said to Xiao Yi calmly, "I didn't expect you to have come up with the twin prime conjecture. The paper is very good, and the level of the paper is even better than the two papers on the Elliott-Halberstam conjecture."

Xiao Yi nodded and said with a smile: "Thank you very much for the advice you gave me."

Schultz tried hard not to laugh, while Faltings looked a little embarrassed and said, "No need to thank me, it's all your ability."

Then he turned around first and said, "Well, let's not stand here anymore. Go backstage and get ready. I'm looking forward to your performance at the presentation later. I wish you success."

"Ok."

Xiao Yi nodded.

Finally, they said no more. After Schultz and Faltings entered the lecture hall, as big names in the mathematics world, they were led by the staff to the front seats specially prepared for them.

As the reporter, Xiao Yi also went to the backstage under the guidance of the staff.

……

As the time got closer to 10 o'clock, more and more people came to the lecture hall. There were more than a thousand people. Although it didn't feel like a huge crowd, it was still astonishing at a glance.

Those sitting in the front are the big names in mathematics, while those sitting in the back are mathematics enthusiasts or students.

The issue they talked about most at this time was.

"Do you think he can succeed?"

The most common answer to this question is: "I think so."

Some young people even held small signs in their hands with words like "Solve the Twin Prime Conjecture" and "GOD XIAO" written on them.

In short, the atmosphere on the scene was very high.

……

At the same time, backstage in the lecture hall.

Several Princeton bigwigs, including Deligne, Bombieri, and Professor Sanak, are here.

"Your presentation will begin soon. How are you feeling now?"

Deligne was sitting next to Xiao Yi and said with a smile.

"Well...it's okay." Xiao Yi replied. After preparing for so long, he had a very clear idea of ​​how this report meeting should proceed.

Deligne nodded, "That's good."

"Well... there are less than five minutes left, and we have to go back to the lecture hall first."

After checking the time, Deligne also stood up and patted Xiao Yi on the shoulder: "It's up to you." Bombieri also encouraged: "This is your second gift to the mathematics world. Come on, kid."

Xiao Yi smiled and nodded.

Soon, the big guys left, leaving Xiao Yi alone.

A moment later, the staff said to him, "Professor Xiao, you can go on stage now."

Professor Xiao?
Xiao Yi was stunned, looked at the staff member, and then said with a smile: "Okay, but I'm not a professor yet."

The staff member was stunned for a moment, then he reacted and looked embarrassed.

After all, in the past, no one who could give a lecture in this lecture hall was not a professor.

However, Xiao Yi didn't say much. He straightened his clothes and then walked out of the backstage.

……

The sound of footsteps appeared at the door of the already quiet lecture hall, and more than a thousand pairs of eyes looked over there.

Then, the figure they had been waiting for appeared.

Young genius, can he succeed?

As the applause rang out like a tide, people once again asked themselves questions in their hearts.

Xiao Yi looked at the more than a thousand people in the audience and took a deep breath.

There are so many people...

The last time he gave a lecture at the Institute of Mathematics, there were only about 600 people attending, but this time the number doubled.

It is said that there are only a little over a thousand people, but in reality, there are probably at least twelve hundred.

However, although there were a large number of spectators, it did not bring him much pressure or make him nervous.

In his opinion, these people are here to listen to him share his knowledge, so why should he feel pressured?
Walking to the center of the podium, he bowed slightly and then raised his head.

With a smile, he said, "Ladies and gentlemen, thank you all for coming to this seminar. I am Xiao Yi."

"Since the beginning of last month, my paper "Parity Sieve and Twin Prime Conjecture" has attracted the attention of the mathematics community, so it is an honor for me that Princeton University has prepared this lecture for me."

"To express my gratitude, I will do my best to make this report satisfy everyone."

"Well, let this report begin."

"First, let's state our ultimate goal, the twin prime conjecture."

Turning around and walking to the large blackboard behind him, Xiao Yi wrote a formula on it.

【lim(n→∞) inf(pn+1pn)<3】

"That is, there are infinitely many pairs of prime numbers whose difference is less than 3."

"And of course, given the properties of natural numbers and prime numbers, this is equivalent to saying that there are infinitely many pairs of prime numbers whose difference is 2."

“This is also a description of the twin prime conjecture.”

"The study of prime numbers has been going on for many years. More than 2000 years ago, Euclid proved that there are infinite prime numbers. Later, there were problems such as the Mersenne prime conjecture and the Goldbach conjecture."

"Later, mathematicians saw that there were always pairs of prime numbers with a difference of 2 appearing over and over again, so they began to wonder whether there were infinitely many such pairs of prime numbers."

"In 1900, Hilbert formally proposed this problem, and until now, many mathematicians have continued to try to solve it."

"Now, 120 years have passed, and I think it's time to put an end to it."

The PPT that had been prepared long ago turned a page at this moment.

【Sieve method and parity check problem】

"To solve the twin prime conjecture, we need to use a tool, the sieve method."

"I won't go into detail about what the sieve method is, but I'll mainly explain what the parity check problem in the sieve method is."

"..."

Xiao Yi spoke slowly, gradually leading the audience into the main topic of the report.

After explaining what the parity problem is, we briefly introduced how mathematicians in the past tried to circumvent this problem.

Finally, Xiao Yi said: "However, if we always try to avoid this problem, although it can alleviate its impact, it will ultimately prevent us from making greater progress."

"This is probably the key reason why we are stuck in the study of the twin prime conjecture."

“So, it’s time to face it.”

"Since the sieve method in the past makes it impossible for us to distinguish between natural numbers with odd and even prime factors, why not think about how to classify such cases more finely?"

Mathematicians in the audience who had faced this problem before shook their heads helplessly.

Of course they had considered it, but how to achieve it was a huge technical difficulty, which lasted until more than two months ago.

If Xiao Yi hadn't simply revealed the few steps in the video, they would probably still be kept in the dark.

At this moment, Xiao Yi turned around and wrote a few formulas on the blackboard.

[∑aplogp=HA(x){1+O(log(x)/log(x)……]

The mathematicians immediately narrowed their eyes and stopped being distracted.

Because they all know, here comes the point.

If you ask what is the most critical part of Xiao Yi's paper, it can only be the part at the beginning that proves the classification of natural numbers with odd and even prime factors.

The key point for establishing the parity classification screen lies in this part!
Can Xiao Yi's report answer the questions in their minds?
(End of this chapter)