The top student must be diligent.

Chapter 98 Twin Primes, Theorem! [ Updates Completed]

【∑_(p≤x)aplog p=HA(x){1+O(log(x)/log(x)}】

……

Looking at what the student in front of him was gradually writing on the blackboard, Ivanets, who was originally smiling, began to restrain his smile and carefully analyzed these formulas.

To be honest, he didn't think at first that some videos that the student had just seen on the Internet could provide any help in solving the parity problem.

They studied for so long and only managed to come up with something, achieving a small victory on the parity problem. How could these young students be able to play a role in solving such cutting-edge problems with something they found in any corner?
joke.

Besides, if someone in the mathematics community really achieved such results, he would definitely be the first to know about it, because after such results are achieved in the mathematics community, people would definitely think of him, and then send such results to him and ask him to evaluate them.

He was one of the reviewers of Zhang Yitang's paper.

Therefore, if he were young, he would definitely criticize this student for reading useless things immediately. As a student of their mathematics department, he actually believed in some street literature or folk science.

But now he is old, so he wants to be gentler, point out the mistakes first, and then tell these young people not to believe things on the Internet.

Well, with this kind of plot development, everything makes sense.

But now, things are starting to go in an unreasonable direction.

"Are you planning to study it from the perspective of classification? This first step...hiss, it's a very smart step!"

Ivanets' heart was filled with astonishment.

He had discussed the idea of ​​classification with many researchers of sieve theory, but they had never reached a conclusion on how to take the first step in classification.

So in the end they could only put such ideas aside temporarily. In a word, their mentality at the time was: believe in the wisdom of future generations.

Although they may never see that day.

But who would have thought that he would see it today?
Or in your own class?

Just then, he saw the student stopped writing.

He couldn't wait to ask: "What's next? What should I do next?"

"Well, that's all the content of the video I saw."

The student scratched his head embarrassedly and said.

"Is that all?" Ivanets felt an itch in his heart.

Now he just wants to know how to prove that such sieve classification is feasible!
“Who wrote these things in the video you watched?”

"It's Xiao Yi!" the student replied, "He's the Chinese genius who proved the Elliott-Halberstam conjecture some time ago! I saw in the video that he studied the sieve method in order to prove the twin prime conjecture, so I wanted to ask you if this is possible!"

"So it's that genius..."

Ivanets breathed a sigh of relief. This made sense and reasonable.

After all, Xiao Yi had already demonstrated his amazing talent using the Elliott-Halberstam conjecture.

However, can that young man from China really bring them some surprises?
He didn't know what to say.

"Professor?" the student asked when he saw the old professor in a daze.

Ivanets came back to his senses and looked around the classroom. At this moment, all the students were obviously attracted by the news.

That's the twin prime conjecture, who among them doesn't want to know?

Finally, Ivanets said: "Any success in mathematics is not achieved overnight, but what I want to say is that Xiao Yi has demonstrated his ideas that are ahead of the mathematical community."

“So, I hope and expect him to succeed!”

The bell for the end of get out of class rang at this moment, and Ivanets immediately announced: "get out of class is over!"

Then, he quickly left the classroom. He wanted to tell his friends about this matter.

As Ivanets left, all the students in the classroom immediately started discussing, and their words were full of disbelief.

Could the twin prime conjecture be solved by a student younger than them?
crazy!

……

When Ivanets knew about this, it basically meant that the entire mathematics community knew about it.

【Xiao Yi is trying to improve the sieve theory and optimize its parity problem. 】

【Xiao Yi is working on solving the twin prime conjecture. 】

For a time, there was quite a stir in the mathematics community.

Because he proved the Elliott-Halberstam conjecture and developed the automorphic theory of Etale algebraic varieties, and these two papers are still under review, there are actually quite a few people in the mathematics community who are paying attention to Xiao Yi.

But no one expected that not long after that, Xiao Yi actually began to try to solve the century-old problem of the twin prime conjecture.

In fact, according to those experts, Xiao Yi's first step has taken a step that the mathematical community has never thought of before, which means that he is already ahead on this issue.

Even Zhang Yitang stood up and said that Xiao Yi's ideas were "advanced" and "innovative".

Of course, there are still some difficulties. Whether he can truly solve this problem requires not only time but also luck.

After all, inspiration doesn't just come.

……

Max Planck Institute for Mathematics, Bonn, Germany.

"I really didn't expect that he would actually start studying the twin prime conjecture."

In the lounge, Schultz looked at the messages on his phone and said to Faltings beside him in surprise. However, when he heard this question, Faltings just said with emotion: "It seems that he didn't give up this issue in the end."

Schultz was stunned: "You mean... you already knew that Xiao Yi was studying the twin prime conjecture?"

"Yes." Faltings nodded. "Last time in my office, he told me as soon as he came in that he wanted to study the twin prime conjecture."

"Your office?" Schultz recalled that day and asked in confusion, "I was there too, how come I didn't know?"

Faltings shrugged. "You came later, so of course you didn't know."

Schultz was helpless: "I didn't hear you mention it later?"

Faltings said: "How could I have imagined that he actually solved the Elliott-Halberstam conjecture?"

When Schultz heard this, he thought, is there a story?
Faltings said slowly: "That night, he came in with a bunch of theories and asked me if I could give him some suggestions on solving the twin prime conjecture."

"Why should I bring this up to him? Otherwise, I would have solved the twin prime conjecture a long time ago."

"Compared to the twin prime conjecture, I would rather study the Riemann hypothesis or the Hodge conjecture. The twin prime conjecture is beyond my field."

"Besides, what I thought at that time was that the twin prime conjecture was not suitable for him, and he didn't need to waste his time on it."

"So I asked him some questions based on what he had come up with, hoping to stump him, but I didn't expect that he could actually answer all of them."

"But the good thing is that I could see that his idea might be helpful in studying the Elliott-Halberstam conjecture, so I suggested that he study this first."

"Anyway, compared to the twin prime conjecture, the Elliott-Halberstam conjecture is relatively simpler."

"And then... you know what happened."

“He really nailed it.”

Faltings spread his hands and said innocently.

Schultz twitched his lips.

So you are such an [academic senior].

You actually use such words to deceive a young person.

I wonder what Xiao Yi would feel if he knew the truth was like this.

Schultz shook his head helplessly.

Then, he asked: "So what now? Do you think Xiao Yi can prove the twin prime conjecture?"

Faltings fell silent, thought for a long time, and finally looked out the window of the lounge.

The statue of Beethoven on Münster Square looks golden under the sunlight.

He said: "Although it still feels a little unbelievable, I always feel that young man can create miracles again."

Schultz smiled slightly and also looked out the window: "I think so too."

……

Time passed quickly and it was the last day of November.

HKUST, Room 3, Dormitory Building No. 313.

"So, ultimately we can determine that there are infinitely many pairs of prime numbers whose difference is 2."

【lim(n→∞)inf(pn+1pn)=2.】

On the draft paper, I wrote down this last equation.

Xiao Yi's restless heart finally calmed down at this moment.

All the sounds in my ears disappeared, leaving only the voice of truth.

It was as if the universe was rewarding him.

Using logical positivism and flawless mathematical language, he ultimately made it clear that among the infinite number of prime numbers, there are also infinite pairs of twin prime numbers.

This is a wonderful feeling. Perhaps every mathematician who has solved a heavyweight mathematical problem has experienced such a moment when completing the proof.

It was not until a moment later that the sounds of the campus coming from outside the window once again flooded into his ears.

"Success..."

Xiao Yi muttered as he picked up the draft paper in his hand.

Even though his proof has not yet been recognized by the mathematical community, he has the feeling in his heart that he is right.

Of course, the next moment, the power coming from nowhere also confirmed his feelings.

A long-lost voice sounded in my mind: "【Ruthless Link】 has been in effect for more than 100 days, and you have completed an academic paper of medium value, and your level has been raised to level 4."

"The skill effect has been changed as follows: for every hour of learning, the learning efficiency will increase by 1.7 times, up to 17 times; at the same time, within 24 hours, if the utilization rate of Ruthless Link is less than 50%, the BUFF will disappear."

After saying this, the voice disappeared again.

Undoubtedly, this mysterious voice has told Xiao Yi that his proof is correct.

[Twin Prime Conjecture] has been promoted to [Twin Prime Theorem]!
……

The three chapters total 10,000 words. Please vote for me in the new month!

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(End of this chapter)