Chapter 129 A Miracle That Cannot Be Replicated

Xu Yuan met the more than ten pairs of fiery eyes. He was stunned for a moment before he forced out a slight smile and uttered a few words.

"Is everyone here?"

As he said this, it was like a switch was touched.

In an instant, my ears were filled with all kinds of sounds.

"How's the situation going? Are there any new results on twin primes?"

“Has the value shrunk?”

"Where's Professor Zhang?"

"Is he fainting?"

……

The people represented by Liao Fangyi and Tang Shihong continued to ask Xu Yuan about the twin prime conjecture. If Xu Yuan had not been standing at the door blocking the way, they would have rushed into the office to ask Lao Zhang about the situation in person.

Forced to listen to all these questions, Xu Yuan showed a helpless smile on his face.

Although he didn't know why so many people suddenly appeared, as fellow mathematicians he could understand everyone's feelings.

After all, the twin prime conjecture is the ultimate problem in number theory.

After so many years, there has finally been progress. Who wouldn’t want to witness this moment that can be recorded in the history of mathematical development?

But I'm really hungry.

"Dear professors, can you please finish your meal first?" Xu Yuan said pitifully, rubbing his stomach.

Tang Shihong replied: "I have prepared it for you a long time ago. Eat in my office."

Hearing that there would be something to eat soon, Xu Yuan's eyes suddenly lit up and he immediately stepped back a few steps to make way.

Seeing this, Tang Shihong, Liao Fangyi and others did not hesitate at all and immediately swarmed into the office.

As soon as he raised his eyes, they were fixed on the large number of drafts scattered on the table. Zhang Yitang was still looking at one of them.

I could hear him repeating a few words to himself.

"It's really awesome!"

“I never thought of this.”

“How clever.”

Tang Shihong thought that Lao Zhang was still calculating, and worried about disturbing his train of thought, so he just asked tentatively in a low voice.

"Has Professor Zhang come up with any result on the twin prime conjecture?"

Zhang Yitang came back to his senses after hearing these words. After reluctantly putting down the draft in his hand, he told everyone the news with excitement on his face.

“There are results.”

"Xu Yuan successfully proved that there are infinite pairs of twin primes whose difference is less than 246."

"Reduce my positive value of 4200 million to 246."

"This is definitely a miracle that cannot be replicated in the field of number theory!"

Having said this, Lao Zhang paused and subconsciously shifted his gaze to Xu Yuan, who was sitting on the sofa next to him and eating with hearty mouthfuls, without concealing the shock on his face at all.

Even though several minutes had passed since I learned the result, I still couldn't calm down.

If there weren't so many witnesses present, he would definitely suspect that he was dreaming.

He could not remember when he started studying twin primes. In short, many years had passed. Even though he found inspiration from Xu Yuan's paper proving the problem of infinite intervals between Carmichael numbers, it still took him two years to complete the paper proving the twin prime conjecture.

The result is that there are infinite pairs of twin primes whose difference is less than 4200 million.

However, in such a short time, Xu Yuan improved the sieve method based on his paper and reduced the positive value of twin primes to 246.

The final positive number 2 is just around the corner.

He could only describe this unimaginable thinking and talent as a miracle.

And miracles cannot be replicated.

At the same time, he felt very fortunate and glad that he did not choose to submit his article directly to the Annals of Mathematics.

Otherwise, if I hadn’t come here today, I would not have been able to witness the birth of a miracle.

At this time, it was not just Lao Zhang who was in the office. Everyone including Liao Fangyi and Tang Shihong focused their attention on Xu Yuan, with a look of disbelief in their eyes.

"It actually succeeded in reducing the positive value of twin primes, and the span is still so large."

"It's unimaginable."

"We in Qinghua are really going to produce a world-class mathematics master."

"I wonder who will dare to say that Chinese mathematics is not good in the future."

"Now I can imagine what a sensation this news will cause in the mathematics community once it is announced."

……

Everyone had smiles on their faces and talked at the same time, and their eyes never left Xu Yuan for even a second.

Even though Xu Yuan didn't care about his image when eating, they still liked him no matter how they looked at him.

However, there were two professors who studied number theory and could not wait to pick up the scattered drafts on the table and read them carefully.

His expression became excited from time to time, and he was obviously surprised by the proof process in the draft.

Then Lao Zhang also took a meal and started eating to replenish the energy he had consumed in the past few hours.

After eating a few bites, he seemed to have thought of something, and immediately put down his chopsticks and looked at Liao Fangyi who was standing there.

"Director Liao."

"There's something I'd like to ask you for help with."

"Professor Zhang, please go ahead." Liao Fangyi immediately responded after hearing this.

Zhang Yitang said seriously, "I want to stay with you for a few days so that I can finish this paper with Xu Yuan."

Liao Fangyi naturally would not refuse when he heard that it was just such a small matter. Moreover, after refining the paper, Xu Yuan's role in the twin prime conjecture would become even greater.

In this way, Xu Yuan's authority in the international mathematics community will be guaranteed.

Even if others want to question it, they can't find any reason.

After all, the academic achievements achieved are real.

The thought stayed here, and he immediately made a statement on behalf of Qinghua Academy of Mathematical Sciences.

"No problem at all."

"How about this."

"I'll have someone clean up a professor's office and give it to you, Xu Yuan, to use from now on."

When he said the last sentence, he did not forget to glance at Xu Yuan who was concentrating on eating.

However, Xu Yuan was not in the deep learning state at the moment, so he heard this sentence very clearly.

When he learned that the department was going to arrange an independent office for him, he immediately stopped what he was doing, looked up and said, "Isn't this inappropriate? The department has already arranged a separate discussion room for me, which seems to be sufficient for now." He did not agree directly.

Liao Fangyi seemed to have made up his mind about this. He immediately waved his hand and insisted.

"An office is more convenient. You'll need one sooner or later anyway."

As these words were spoken, the lecturers present couldn't help but look at Xu Yuan with envy.

Everyone knew that Xu Yuan would become a professor directly after graduating with a Ph.D.

However, although people are envious, no one dares to gossip about such things.

It's because they don't have Xu Yuan's academic achievements.

After hearing what Liao Fangyi said, Xu Yuan couldn't continue to refuse, so he just nodded and agreed.

"I understand, Director."

Just as Lao Zhang said, the top priority now is to quickly rewrite the paper on the twin prime conjecture. Since this is such a big breakthrough in the field of number theory, it is definitely better to announce the news as soon as possible.

that's it.

Everyone stopped gathering together for the rest of the time.

After arranging accommodation for Zhang Yitang, they left one after another to rest.

After all, it's almost late at night.

After filling his stomach, Xu Yuan did not stay any longer. He sorted out the manuscripts of the proof process and returned to his dormitory.

Li Zhenya and the others in the dormitory were basically used to Xu Yuan's return.

I didn't ask too many questions.

This was exactly what Xu Yuan wanted. He said hello to them and went straight to bed after washing up.

In order to prove the smaller positive value of twin primes, his mind worked very fast in the deep learning state, which consumed a lot of energy for such a long time.

Now I have no desire to read at all, I just want to go to bed and rest.

But when I lay in bed with my eyes closed and thought about what happened today, I didn’t know what to say.

Originally, he had been focusing on Qiu Chengtong's conjecture during this period, and he had just come up with some ideas which made a lot of progress. However, before he finished proving Qiu Chengtong's conjecture, he made a big step forward in the twin prime conjecture.

I can only say it was a coincidence. When inspiration comes, it can't be stopped.

Fortunately, other mathematicians around the world could not hear his ideas, otherwise he would have become depressed.

Inspiration is the most important thing for mathematicians to solve difficult problems, but sometimes no inspiration can be generated even if they rack their brains.

As a result, Xu Yuan seemed to be doing wholesale, with inspirations popping out one after another.

Xu Yuan naturally didn't care what other mathematicians would think. After a little thought, he planned the follow-up tasks.

That is, first complete the paper on the twin prime conjecture with Lao Zhang, submit the paper for publication as soon as possible, and bring a carnival among number theorists in the field of number theory.

Later he continued to study Qiu Chengtong's conjecture.

Anyway, since he combined the two formulas and successfully made progress in Qiu Chengtong's conjecture, he has basically determined the proof method and ideas.

It is not difficult to complete the proof of Qiu Chengtong's conjecture.

Even if there are some minor incidents, he believes that he can successfully complete the challenge given by Qiu Chengtong.

-

No words were spoken all night.

The next day.

At noon, Xu Yuan received a call and came to the office arranged by the department. Looking at the layout style which was similar to Tang Shihong's, those two words were the only ones left in his mind.

Really fragrant.

I had my own office right after I started my PhD program. This kind of treatment is unavailable anywhere else in the country.

The key point is that this office happens to be on the same floor as Tang Shihong, so it will be convenient to find someone in the future.

Lao Zhang was still full of energy today. He came to the office early and started to improve his paper.

Xu Yuan understood his enthusiasm very well. After all, he had no academic achievements in mathematics before, unlike him who had already published several papers in the Annals of Mathematics.

However, the positive proof process of the twin prime conjecture has been completed, and all they need to do is to perfect the manuscript into a paper.

So it won’t take too long.

In a blink of an eye, a few days passed, and the paper was quickly completed with the collaboration of Xu Yuan and Zhang Yitang.

The content details the proof method of the initial 4200 million, as well as the 246 positive numbers after Xu Yuan improved the sieve method, so that the number of pages of the paper is almost breaking into three digits.

This is a very rare situation in the field of number theory.

Afterwards, this paper was formally submitted to the Annals of Mathematics under the names of both of them.

……

(End of this chapter)