Chapter 182 Proof of Completion
Everyone is familiar with the Goldbach conjecture. Moreover, as Xu Yuan's Young Elite Scientists Project some time ago, it caused quite a stir and widespread discussion in the entire mathematics community. Now looking at Xu Yuan's confident look, how can we not know that he has it all figured out?

Although they are not considered to be mathematicians, they were delighted to see Xu Yuan solve such an ultimate problem in number theory.

It is also something worth celebrating.

What's more, Xu Yuan is now a colleague in the research institute.

"It seems that it won't be long before the mathematics world becomes lively again." Song Wencong said happily.

"I think whatever field Professor Xu is in, that field will be bustling."

Shen Yamin took over the conversation and nodded: "It's quite exciting."

Now that we have got to the point, it's natural for everyone not to persuade Xu Yuan to stay a few more days.

So in the following time, Xu Yuan took the institute's special car to the international airport, preparing to take the nearest flight back to Yanjing.

……

……

"This is Teacher Xu."

At the exit of Yanjing Airport, Xu Yuan had just pulled out his luggage when he heard a familiar voice.

I turned my head in the direction of the voice, and suddenly a beautiful figure appeared in my sight.

Who else could it be but Chen Yuran.

Ever since he became a full professor in the Department of Mathematics at Qinghua University, Chen Yuran has privately called him "teacher".

Although this title is quite appropriate, I felt a little embarrassed in front of so many people at the airport.

So without saying anything more, he quickened his pace and walked towards Chen Yuran.

"It's been a long wait. Today's flight is a little late."

"It doesn't matter. I'm willing to wait as long as it takes for you to come back." Chen Yuran said happily as she skillfully put her arm around Xu Yuan's.

The two of them did not waste any time at the airport and immediately took a car back to their house near Qinghuayuan.

Xu Yuan did not go out on the weekend. He stayed at home with Chen Yuran, enjoying the long-lost warmth and tranquility.

In the blink of an eye, we enter a new week.

Xu Yuan and Chen Yuran then went to school together.

The only difference was that Xu Yuan went to his office, while Chen Yuran went to the School of Journalism to study for a master's degree.

Tang Shihong was the first to know the news of Xu Yuan's return. When Xu Yuan was tidying up the office in the morning, he saw Tang Shihong running over to visit him.

Also traveling with them were Liao Fangyi and Qiu Chengtong.

They were already familiar with Xu Yuan and knew that he liked to collide with mathematical inspiration while researching other fields.

Now that he has just returned from Jincheng, he is starting to work on proving it, which naturally makes people think that he may have an idea.

The Goldbach conjecture is hailed as the ultimate problem in number theory. If Xu Yuan can really prove it, the benefits will be self-evident. This is also related to the future international status of China's mathematics community. They must be very concerned about this matter and want to quickly ascertain the situation from Xu Yuan.

"You finally came back. Many students missed you so much during your absence."

Tang Shihong was naturally not at all restrained at Xu Yuan's place. He sat directly on the sofa after coming in and made a few jokes with a smile.

Seeing this, Xu Yuan quickly greeted, "Everyone, please take a seat."

Hearing this, Qiu Chengtong and Liao Fangyi also sat down with a smile, but their eyes never left Xu Yuan.

"Recently, students in the academy have petitioned more than once to attend Professor Xu's open mathematics class."

"There is also a national team training camp for the math competition in March. I would like to invite you to go there and tutor those kids, but you are not in school, so I can't agree to it for you."

Liao Fangyi took the water handed to him by Xu Yuan, put it on the table, and took the initiative to talk about the recent situation in the school.

As the youngest mathematics professor in Qinghua, Xu Yuan’s popularity among students in the school can be imagined.

Although Xu Yuan does not have any teaching assignments for the time being, he is still ranked first on the list of teachers most anticipated by students.

It is precisely because of this that the students applied to the college, hoping that Xu Yuan could give more open classes to satisfy the students' desire to attend lectures.

After hearing what Liao Fangyi said, Xu Yuan was at a loss whether to laugh or cry.

But it should be said that occasionally offering a couple of open classes is really no big deal for him.

It will not delay the usual project research.

Just ask the college to control the number of people.

But now is definitely not the right time.

As for going to the National Mathematics Training Team to tutor students, I'm afraid I'll have to wait until next year.

No matter what, he also participated in mathematics competitions. Now he has become a full professor in the Department of Mathematics at Qinghua University. It is normal for him to contribute to mathematics competitions. Unfortunately, he currently has a Young Elite Scientists Project in hand.

In addition, since we already have a preliminary idea of ​​proof, we must solve it in one go.

Also, he is now a professor and has just taken on the role of researcher at the Jincheng Aircraft Design Institute.

He felt that it was a bit inappropriate if a Young Elite Scientists Project could not be completed for a long time.

So it’s better to finish the topic early.

His thoughts stayed here, and he had no choice but to answer Liao Fangyi and put these two things aside for the time being.

"It's no problem to organize an open class in the college, but I have to derive the Goldbach conjecture next and then complete a detailed paper, so I have to ask the students to wait a little longer."

"This year's national math competition training team is in the same situation. We'll talk about it next time we have a chance."

Although Xu Yuan just calmly postponed these two things, when the voice reached Tang Shihong, Qiu Chengtong and Liao Fangyi, they instantly widened their eyes and looked surprised.

Obviously he grasped the key point of the words.

Tang Shihong did not hesitate at all and immediately asked Xu Yuan about the Goldbach conjecture.

"You just said that you want to derive the Goldbach conjecture and write a paper. Do you already have an idea for proving it?" Although Qiu Chengtong and Liao Fangyi did not speak, their eyes were completely on Xu Yuan without moving.

As for this matter, Xu Yuan naturally would not keep it a secret and told them about the Goldbach conjecture the next second.

"During this period, I have been helping with other projects and thinking a lot about the Goldbach conjecture. Now I do have some proof methods and ideas."

“But can it be proven successful? Can the results be verified?”

"More detailed calculations are needed."

He didn't say it with too much certainty, but just said that compared to having no clue before, he now has an idea.

But it is foreseeable what these words mean to Qiu Chengtong and others.

Without any hesitation, everyone stood up subconsciously with excitement on their faces.

"Great."

"It seems that this trip to Jincheng was not in vain."

"This is definitely the happiest news I have heard in a while."

"I knew Xu Yuan could do it."

From Xu Yuan’s development in the field of mathematics, we can conclude that as long as Xu Yuan has a proof idea or method for a difficult problem, it will basically not take long for the problem to be proved.

Although the Goldbach conjecture is indeed very difficult, they did not doubt Xu Yuan's words at all.

no way.

Just because Xu Yuan really has the ability.

At this moment, Xu Yuan was deeply touched to be trusted by so many mathematics seniors.

Then he continued, "I also want to finish the project soon. I hope my thinking is correct this time."

"You don't need to worry about anything in the academy from now on. Just focus on completing your research project."

"The entire mathematics community is waiting for your good news."

Liao Fangyi took over the conversation again and echoed it, and the smile on his face did not disappear at all during the whole process.

Then they did not waste Xu Yuan's time any more and left his office with beaming faces.

Originally they just had guesses in this regard, so they came here specifically to inquire about the progress of the Goldbach conjecture, but they didn't expect there would be such exciting good news.

Now they just need to wait patiently and witness with their own eyes the power of the bombshell that Xu Yuan threw into the mathematical world.

-

After Tang Shihong, Qiu Chengtong and others left, Xu Yuan did not delay and entered the deep learning state again that day.

He began to prove the Goldbach conjecture again according to his own ideas.

at the same time.

Jincheng Aircraft Design Institute also officially announced the new identity of researcher Xu Yuan.

However, since there was only a name, and Xu Yuan was the youngest genius mathematician, not many people paid attention to it. After all, it is normal for geniuses to enjoy more honors.

On the other hand, in the mathematics community, perhaps because Xu Yuan has not published any new mathematics papers, the community seems much calmer and there is no important news.

The Spring Festival is approaching.

This time, Xu Yuan took the bus home alone and did not stop his research on the Goldbach conjecture.

In addition to carrying the relevant proof manuscripts, he was even deriving the relevant formulas in the car.

The passengers around looked at it curiously, then immediately looked away.

After all, I can't understand it at all.

It is worth mentioning that Xu Yuan did not stay at home for long during the Spring Festival. He hurried back to Yanjing just after the New Year.

It turns out that his combination of the improved sieve method and group theory has indeed proved the correctness of the Goldbach conjecture, because the panel progress bar that has already reached halfway is the best proof.

that's it.

April is here in a blink of an eye.

That afternoon, Xu Yuan was sitting in his office, with a large number of manuscripts piled on the desk in front of him.

Even the office door was locked.

Xu Yuanze was completely immersed in a state of deep learning. It seemed as if he could no longer feel anything around him. The only things in his sight were the mathematical formulas he had written.

If he turned his eyes to the panel at this time, he would definitely find that the progress bar had reached ninety-nine percent.

"Let Px(1) be the number of prime numbers P that satisfy the following conditions."

“x—p=P1”

……

"By means of (7), (8), (9) and (10), this lemma is proved."

"Px(1)≥Px(x..."

……

"From (28), Lemma 8 and Lemma 9, we can obtain Theorem 1."

“（1，1）及Px（1，1）≥……（logx）2”

"Proof completed."

I don’t know how much time had passed, but as the last character was written by Xu Yuan, the progress bar on the panel for proving the Goldbach conjecture successfully reached 100% completion.

(End of this chapter)