Chapter 206: Legend in an ordinary afternoon!
The family housing complex at HUST is not very beautiful. It is a gray concrete building hidden in the downtown area.

Xu Qingshan followed behind Wang Shicheng and Chen Dayue.

He and Chen Dayue carried the whiteboard and climbed the stairs.

Xu Qingshan was fine, but Chen Dayue had a hard time.

“Teacher, if you can’t do it, why don’t you give it to me and I’ll take it.”

Xu Qingshan spoke up.

"Need not!"

Chen Dayue panted heavily, put the whiteboard on the ground, held his old waist, and spoke while panting.

"It's just that I can't use force in this position! What's wrong with me? Who said I can't do it?"

"Okay, Xiao Chen, you're great. Just calm down first and don't let it go."

Wang Shicheng looked at the stubborn Chen Dayue helplessly, took a whiteboard from his hand and continued to walk up.

"Knock knock knock."

The three of them stood at the door of Mr. Wang's house in a strange manner, knocking on the door and greeting him.

"coming."

The door opens.

She is a middle-aged woman who looks very simple.

"You are from Kyoto University, right?"

"Oh, yes, hello."

"Dad, people from Beijing University are here!"

The middle-aged woman shouted into the house.

Wang Shicheng tilted his head.

I am an academician, but I am not even worthy of having a name.

But it doesn’t matter, after all, this is Mr. Wang.

"come in."

A voice that sounded full of energy came from the house. Xu Qingshan and the other two followed the middle-aged woman into the house, changed into slippers, and went to a balcony, where they saw an energetic old man lying on a rocking chair on the balcony to bask in the sun.

When the old man saw the three people coming, he slowly stood up from his chair.

"Young man, is it you who wanted to see me?"

Wang Yuan looked at Xu Qingshan with a smile on his face.

"I seem to have seen you on TV. Your name is Xu Qingshan, right?"

Before Xu Qingshan introduced himself, Wang Yuan spoke with interest.

"It's me, hello, Academician Wang."

Xu Qingshan was very respectful.

Xu Qingshan respects this kind of hero who has made great contributions to the country from the bottom of his heart.

"Don't call me academician. If you want to ask me questions, just call me Teacher Wang."

Wang Yuan was full of energy and didn't look like an 80-year-old man at all. Although he was lying on the balcony basking in the sun, there was a pile of books on the small tea table next to him.

Xu Qingshan took a quick glance and saw that they were all books related to number theory.

Some of the books were obviously wrinkled from being read too many times.

Even though this old man has left the front line of scientific research, he still maintains his interest in academics, life and society.

"Mr. Wang, this is it."

Wang Shicheng respectfully told Wang Yuan about Xu Qingshan's proof of the weak twin prime conjecture at the Talent Exchange Center.

Wang Yuan originally looked at Xu Qingshan as a junior.

But after he heard what Wang Shicheng said, he was stunned for a moment.

He looked at Xu Qingshan seriously again.

"Go to the study and set up the whiteboard for me to see."

After Wang Yuan finished speaking, he took the lead and left the balcony and walked towards the study.

Chen Dayue had been standing in the back without any sense of presence until he ran to the door, carrying the whiteboard and grunting as he carried it to the study.

All four of them went into the study.

“Put up all the whiteboards.”

Wang Shicheng and Chen Dayue came to help, and Xu Qingshan explained the order and position.

At this time, Xu Qingshan saw another certificate in the study. It was placed directly on the bookshelf, without any packaging or glass cover. It looked ordinary. The paper of the certificate was a little yellowed, but the words on it were very conspicuous, and they were handwritten.

【First Prize of the First National Natural Science Award】

【Research on Goldbach's conjecture】

【1982 Chen Jingrun, Wang Yuan, Pan Chengdong】

This award certificate, which is quite old-fashioned, is the greatest honor in the lives of these three people.

There were some calligraphy works in the study, one of which was hung in the most conspicuous position. Xu Qingshan saw the signature of the calligraphy work.

【Efforts are not counted for years, self-improvement never stops】

【Hua Luogeng】

Wang Yuan didn't care about those things. He had already started to carefully read Xu Qingshan's proof process on the whiteboard.

I saw Mr. Wang with his hands folded across his chest, staring at the whiteboard with burning eyes, his fingers moving from time to time, his eyes focused, and he quickly got into the state.

Wang Shicheng and Chen Dayue stood aside timidly and did not dare to disturb the old man.

Xu Qingshan was observing the study.

He felt as if he had sensed some different energy from this study, and was transforming and absorbing this energy into something that belonged to him.

The study was very quiet.

After a long time, Wang Yuan suddenly frowned and asked.

"Why does it end here?" "There were too many people just now, so I'm sorry to continue."

Xu Qingshan immediately took over the conversation.

These words made Chen Dayue and Wang Shicheng's mouths twitch.

I never expected Xu Qingshan to give this reason.

"Can you prove it now?"

Wang Yuan found a pair of reading glasses and took out a pile of draft paper.

"Come on, prove it now."

Xu Qingshan did not refuse, but took the draft paper and pen and continued writing according to the content on the whiteboard.

Wang Yuan just stood beside Xu Qingshan, with his hands behind his back, watching Xu Qingshan sitting at the desk to prove it.

Wang Shicheng and Chen Dayue were like two door gods standing aside, and they didn't even get close to each other.

mainly.

Firstly, the two of them did not have a deep understanding of this aspect, and they might not have been able to fully understand it in the past. It was enough to have Grandpa Wang around.

On the other hand, I was worried that in this hot summer, the old man didn’t turn on the air conditioner and would get too hot.

How presumptuous.

"You want to use algebraic geometry to complete the argument. Are you trying to avoid the problem of parity of the sieve method?"

"Yep."

"Then why don't you try to take it a step further and just improve the sieving method?"

"Maybe this will be faster? Just take the first step from 0 to 1."

Xu Qingshan was stunned for a moment.

He realized what Wang Yuan meant.

Wang Yuan did not mean to mock at all. He spoke to Xu Qingshan very seriously.

"I actually never thought of this route, but when I was watching your argument just now, I kept thinking about a question."

"Teacher, please tell me."

Xu Qingshan felt that a very important point was right in front of him, and he was about to grasp it.

"The sieve method is a powerful tool in number theory to convert information you already understand into information you are trying to know. For example, if you know some specific technical means of arithmetic series, you can convert it into some information about the closest interval of prime numbers."

In recent years, Wang Yuan has devoted more of his time to popular science mathematics research.

He was very concerned about the mathematics education of the younger generation, and for this reason he often went out to give lectures, hoping that young people would not be too ambitious, not just focus on the Goldbach conjecture, but instead lay a solid foundation in mathematics.

So Wang Yuan was very clear when he expressed himself.

Xu Qingshan seemed to see a clear sky with a white cloud in it.

As Wang Yuan thought and discussed, the shape of the cloud became clearer and clearer in his eyes.

"Although the sieve method looks simple when used, you often need strong conclusions to make it work. If you want to use the sieve method to prove the weak twin prime conjecture, you must control the input so that the sieve method can get the information you want, right?"

Wang Yuan continued.

"But whether it's the weak twin prime conjecture or the one-step twin prime conjecture, it's not very suitable for the traditional sieve method that we used to prove the Goldbach conjecture."

Wang Yuan stood in front of the whiteboard and tapped and pointed at Xu Qingshan's formulas.

"Here, here, and here."

"These are the parts that I worked on with my teacher back then. Jingrun also struggled with this problem, but you are now proving infinity. I don't know how to use computers now, but it would be very difficult to control the input. I wonder if you can directly make more specific improvements to the sieving method itself."

"It makes this method more efficient at certain types of information transfer, which means you can get prime-interval results with only weak inputs."

When Wang Yuan reached here, Xu Qingshan took over the conversation.

"Finite field!"

"If I combine algebraic geometry and finite fields, and use both methods simultaneously, and integrate them into the sieve input system, then I am..."

Xu Qingshan felt that his hand had grasped the white cloud.

It is white, soft and elastic.

It was like cotton candy, he sucked it gently, and it tasted as wonderful as milk.

"I see!"

The pen in Xu Qingshan's hand moved again at a very fast speed.

It's true that mathematicians need computers.

But it doesn't have to be.

After all, for some top mathematicians, their brains process information even faster, more jumpy, and more uniformly than computers.

Wang Shicheng and Chen Dayue looked at each other.

this.
Is it
Are you about to witness a great moment?
"Teacher, look."

Xu Qingshan pointed to the interim results on a piece of draft paper.

"I give you any base-10 positive integer. There are infinitely many prime numbers. The last one that comes out has a decimal representation that does not contain the given positive integer."

"I seem to have overcome the hurdle of the weak twin prime conjecture."

Xu Qingshan murmured.

He knew that in mathematical research, sometimes inspiration and state of mind come in an instant.

It's not as exciting as in the legends, nor as turbulent as in the movies.

It might just be on a hot summer afternoon.

In an old man's study.

The not-too-scorching sunlight shone through the window onto the young man's face, making it sparkle.

It seems to be at such an ordinary time.

The mountain of the weak twin prime conjecture.

It was officially completed by Xu Qingshan with his own hands and pen.

(End of this chapter)

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