The Scholar's Grind
Chapter 103

A Young Genius

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

"Do you think your proof is successful?"

"I would like to know what sparked your interest in studying Twin Prime Conjecture? Has anyone helped you in this process?"

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

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

When he came out of the hotel just now, he had already noticed a large number 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 brought him here directly from the hotel.

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

He briefly recognized it, well...

There are reporters from Princeton City, as well as reporters from other media in New Jersey, as well as some well-known media in the United States or internationally.

For example, the New York Times, Washington Post, and even European News Television who interviewed him at Max Planck Institute for Mathematics were also there.

Fortunately, staff quickly came to his rescue and he was able to get out of the encirclement.

In this way, he walked all the way to the door of the lecture hall. After climbing the steps, he suddenly turned around and said to these reporters, "Thank you for the attention of the 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, allowing me to hold a special report on Twin Prime Conjecture. This is my honor."

"As for whether my proof is successful, you should not ask me this question. You should 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 immediate applause.

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

"Finally, if anyone helped me during my study of Twin Prime Conjecture, I think I need to express my gratitude to Gerd Professor Faltings. It was he who suggested that I study the Elliott-Halberstam conjecture first, and in the process, it also provided huge help for my subsequent study of Twin Prime Conjecture."

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

With Xiao Yi's narration, people realized that there was such a thing, and it was indeed Professor Faltings!

"I think you will have to treat me to a few meals after you go back."

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

Faltings's eyes twitched, and then he said with a dark face, "Please, please... If I had known, I wouldn't have told you about that matter."

Otherwise, if others knew the truth, his character would be in jeopardy.

At this time, Xiao Yi also finished talking to the reporters, and the reporters let him go with satisfaction. As soon as he came in, he saw Schultz and Faltings, and happily shouted, "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, it was agreed at the beginning that as long as you come over, we will naturally come too."

Faltings also said to Xiao Yi with a normal expression at this time, "I didn't expect you to really come up with Twin Prime Conjecture. The paper is very good, and the level in it is even better than the two papers that Elliott-Halberstam guessed."

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

Schultz tried hard not to laugh, but Faltings looked a little embarrassed and said, "No need to thank you, everything is your ability."

Then he took the lead and turned around. "Okay, let's not stand here anymore. You can go backstage to prepare early. I am looking forward to your performance in the report meeting later. I wish you success."

"Okay."

Xiao Yi nodded.

In the end, they said no more. After Schultz and Faltings entered the lecture hall, as big bosses in the mathematics community, 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 leadership of the staff.

The time is getting closer to 10 o'clock, and more and more people are coming to the lecture hall. There are more than a thousand people. Although it is not the feeling of a huge crowd, at a glance, it is still amazing.

The people sitting in front are all the big guys in the field of mathematics, while the people sitting in the back are mathematics enthusiasts or students.

The question they talked about most at this time was.

"Do you think he can succeed?"

Regarding this question, the most common answer is, "I think it is okay."

Some young people even held small signs with words like "Get Twin Prime Conjecture" and "GOD XIAO" written on them.

All in all, the atmosphere at the scene was very high.

At the same time, in the backstage of the lecture hall.

Deligne, Bombieri, Professor Sanak and other Princeton big guys are all here.

"Your presentation will begin soon. How do you feel now?"

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

"Hmm... not bad." Xiao Yi replied. After preparing for so long, he had a very good idea of how this report meeting should be conducted.

Deligne nodded, "That's good."

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

After looking at 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 world of mathematics, come on, kid."

Xiao Yi smiled and nodded.

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

It wasn't until a moment later that the staff said to him, "Professor Xiao, you can come on stage."

Professor Xiao?

Xiao Yi was startled, 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, and then he reacted, looking embarrassed.

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

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

Footsteps appeared at the door of the lecture hall that had fallen silent, and more than a thousand pairs of eyes looked over.

Then, the figure they had been waiting for for a long time appeared.

Young genius, can he succeed?

While the applause sounded like waves, people once again asked 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 report at Mathematics Research Institute, there were only more than 600 people, but this time the number doubled.

It is said that there are only over a thousand people, but in fact, there are probably at least 1,200 people.

However, although the audience was large, it did not put much pressure on him, nor did it make him nervous.

In his opinion, these people are here to listen to him share knowledge, so why should he be stressed?

When he reached the middle of the podium, he bowed slightly and then raised his head.

Smiling slightly, "Ladies and gentlemen, thank you all for coming to this report. My name is Xiao Yi."

"Since the beginning of last month, my article "Parity Check Classification Sieve and Twin Prime Conjecture" has attracted the attention of the mathematical community, so this time Princeton University has also prepared this report for me. This is my honor."

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

"Then the report begins."

"First, state our ultimate goal, Twin Prime Conjecture."

Turning around, he walked to the big blackboard behind him, and 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, it's equivalent to: there are infinitely many pairs of prime numbers whose difference is 2."

"This is also the description of Twin Prime Conjecture."

"The study of prime numbers has been going on for many years since ancient times. More than 2,000 years ago, Euclid proved that there are infinitely many prime numbers. Later, there were problems like Mersenne Prime Conjecture, Goldbach Conjecture, etc."

"It wasn't until later that mathematicians saw that there were always pairs of prime numbers with a difference of 2 appearing constantly, so they began to think, are there infinitely many such pairs of prime numbers?"

"In 1900, Hilbert formally raised this problem, and until now, many mathematicians have been trying to solve it."

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

The PPT that had been prepared for a long time turned a page at this time.

[Sifting method and parity check problem]

"To solve the problem of Twin Prime Conjecture, we need to use a tool, which is the screening method."

"I won't go into details about what the sieve method is. I will mainly explain what the parity check problem in the sieve method is."

"..."

Xiao Yi spoke slowly, and gradually introduced the audience to the main topic of the report.

After describing what the parity problem is, and briefly introducing how previous mathematicians tried to circumvent this problem.

Finally, Xiao Yi said, "However, always trying to avoid this problem, although it can alleviate its impact, ultimately prevents us from making greater progress."

"This is probably the key to why we have come to a standstill in the research of Twin Prime Conjecture."

"So, it's time to face it head on."

"Since the past sieve method made it impossible for us to distinguish natural numbers with an odd number of prime factors and an even number of prime factors, then why not think about how to classify such situations in a more detailed manner?"

The mathematicians in the audience who had faced this problem shook their heads helplessly.

Of course they have considered it, but how to implement it is a huge technical difficulty, and it lasted until more than two months ago.

If it weren't for the few steps that Xiao Yi simply revealed in that video, they would probably still be kept in the dark and used as deceivers.

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

[∑aplogp=HA(x){1+O(log(x)/log(x)...]

These mathematicians immediately narrowed their eyes and were no longer distracted.

Because they all know that the point is coming.

If you want to ask, what is the most critical part of Xiao Yi's paper, then it can only be the first part that demonstrates the classification of natural numbers with odd and even prime factors.

The key points that Parity Check Classification Sieve can establish are all in this part!

Can Xiao Yi's report answer the questions in their minds?

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