From university academician to chief academician

Chapter 152 Proving the Twin Prime Conjecture in 26 Days

March has passed in the blink of an eye and it’s early August!

The Blockchain Laboratory of Zhonghu University is working in an orderly manner under the leadership of Ye Fei.

Rest time is from 3pm to 3:20pm.

Science shows that work that combines work and rest is more efficient, especially mental work.

After working for three hours, you need to take a twenty-minute break.

This is more efficient than working without a 20-minute break.

Therefore, Ye Fei divided a rest area in an area of ​​the laboratory.

Coffee, tea and snacks are available in the lounge area.

All scientific researchers can sit here to drink coffee and tea, eat snacks and chat during this time.

Bao Zhengmin, an intern researcher, was drinking coffee and sighed with an intern researcher named Feng Tian: "The research speed is really too fast."

"I originally thought that such research would take at least two or three years to produce results, but judging from the current research speed, I think the results will be produced by the end of this year."

In just three months, one-third of the research on asymmetric encryption algorithms has been completed.

This is mainly because Ye Fei has been studying algorithms for three years and encryption algorithms for one year.

Ye Fei is very familiar with this aspect of algorithms.

That’s why the research is so fast.

"Who says it's not the case!" Feng Tian said with a sigh on his face: "Professor Ye has pointed out the research direction, we just need to follow the research."

"I thought it would be fast at first, but I didn't expect it to be so fast."

Bao Zhengmin nodded and said with admiration: "I have done research with my tutor before, but my tutor definitely does not have the research speed of Professor Ye."

Feng Tian asked: "Who is your mentor?"

"Gu Fei!"

"Professor Gu Fei from Jiangcheng University?" Feng Tian widened his eyes in surprise.

"Yeah!" Bao Zhengmin nodded.

"He is a great figure in the field of algorithms. Is it his recommendation that you come here?"

Professor Gu Fei is a master in the field of computer algorithms and has long been engaged in research on machine learning theories and methods at the core of artificial intelligence.

The projects he completed have produced original and leading results in machine learning theories and methods for ambiguous objects, triggering follow-up research at home and abroad. Related technologies have been successfully applied to large enterprises and major national projects.

Gu Fei is currently the chairman of the HUB Provincial Artificial Intelligence Society, the chairman of the HUB Provincial Computer Society, the vice chairman of the Xia Guo Computer Society, and the vice chairman of the Xia Guo Artificial Intelligence Society.

For a talented person like him, if a student goes out to work, any letter of recommendation can help his student find a good job.

"No!" Bao Zhengmin shook his head and said, "I came here on my own. My instructor knew it and just said it was a good job. Following Professor Ye, there is a bright future."

Generally, when a doctor has just graduated and started working, a supervisor with whom he has a good relationship will pay attention and ask what kind of job he has found.

If the student is not satisfied with the job he is looking for, the tutor will help recommend a job.

You know, PhD supervisors generally have a pretty good network.

"He didn't write you a letter of recommendation?"

Bao Zhengmin glared at him and said, "Who do you think of me? Am I the kind of person who needs to go through the back door?"

Feng Tian smiled and said: "That's not what I meant. A student who can become Professor Gu Fei must be very outstanding. Even if you write a letter of recommendation, it must be because of your strong ability."

The unhappiness in Bao Zhengmin's heart disappeared instantly. Everyone likes to be praised, and of course he likes it too.

Bao Zhengmin smiled and said, "Who is your mentor?"

"I am from Zhonghu University, and my tutor is Lu Yishan."

"Are you Professor Ye's junior brother?"

"To be precise, it's senior brother." Feng Tian said with a bitter smile: "I am one year ahead of Professor Ye. He became a Ph.D., I was studying for a Ph.D., he graduated with a Ph.D., I was still studying for a Ph.D., he was a lecturer, I was still studying for a Ph.D., and he When I became an associate professor, I was still studying for a Ph.D.”

"And I just graduated not long ago, and I was planning to find a job in a company."

"Later, my supervisor recommended me to come here, saying that I would work here with Professor Ye for a while. With the work experience here, I can find a better job when I look for a job."

Bao Zhengmin nodded and said, "Your instructor treats you well!"

Being able to recommend students here proves that I want to pave the way for this student.

"Of course." Feng Tian said with a smile: "My mentor is very nice. Every time we go to interesting places on business trips, he will take us to see the world. Every time when things are done, he will ask us if we want to stay for another two days. , have some fun there.”

"The monthly subsidy is never deducted, and the maximum subsidy reported in the Planning and Finance Office is always the highest. He often goes to other professors to inquire about the subsidy they provide to students."

"If he finds that the subsidy he gives us is the same as that of other professors, he will immediately increase the subsidy."

There are subsidies for both master's and doctoral degrees, and the subsidies are divided into two parts, namely national subsidies and tutor subsidies.

The state provides a master's degree subsidy of 6,000 to 8,000 yuan per year, and the subsidy given by the tutor depends on the tutor's mood.

The high ones can cost thousands per month, while the low ones can only cost more than a hundred per month.

Those who give more than a hundred are all unscrupulous teachers.

The national subsidy for PhD students is higher, more than twice that for master's students. Tutor subsidies still depend on the tutor's mood, but they are generally not low, and some even reach two or three thousand a month.

In addition to various subsidies, there are also various scholarships.

For example, some people not only earned back their tuition fees after completing their Ph.D. studies, but also had one hundred thousand yuan left in their hands.

Bao Zhengmin smiled and said, "Your instructor is really good."

"Haha..." Feng Tian said with a smile: "Although my tutor is not a great person, he is definitely a very good character and treats us students very well."

Bao Zhengmin said: "By the way, have you heard about the big things happening in the blockchain circle recently?"

"What's the big deal?" Feng Tian asked curiously.

"The cross-chain proposed by Professor Ye at the global blockchain academic conference at the beginning of this year has been developed."

"It has been developed." Feng Tian widened his eyes in surprise and asked, "What company developed it?"

"apple!"

"It's fast enough!" Feng Tian exclaimed: "It only took so long for it to be developed."

As we all know, one of the four core technologies of blockchain is distributed ledger.

Each blockchain is an independent ledger. Two different chains are two different independent ledgers. There is no connection between the two ledgers.

Cross-chain can connect two different chains so that the value on the two chains can be circulated.

In layman's terms, it's like Zhang San owns a house and a car.

The house is worth a million and the car is worth a hundred thousand.

The value of the house is in Blockchain A, and the value of the car is in Blockchain B.

They cannot be linked together, so Zhang San's net worth is one million or one hundred thousand.

But cross-chain can connect the values ​​on the two blockchains together, so Zhang San’s worth is 1.1 million.

Bao Zhengmin said: "But in less than a month, Alibaba also developed cross-chain technology, and half a month ago, it signed a letter of intent with Modu, Hangcheng, Hecheng, and Sioux City in Wuhu."

"Relying on the Hangzhou Internet Bank blockchain platform, the four places will be interconnected to jointly build a Yangtze River Delta banking chain and jointly promote the integrated development of the Yangtze River Delta banking system."

Feng Tian smiled and said: "Our country is not slow either!"

"Yes!" Bao Zhengmin nodded: "Alibaba has already developed it. I think Baidu, Tencent, China Construction Bank, Industrial and Commercial Bank of China, and other companies with strong blockchain capabilities around the world will also follow suit."

These companies and banks are places where Xia Guo has a lot of blockchain patents.

"Yeah!" Feng Tian nodded.

In the laboratory, Ye Fei has a special office!

Because Ye Fei's research is to develop asymmetric encryption algorithms from Goldbach's conjecture.

Therefore, he is currently studying Goldbach's conjecture.

"Hey..." Ye Fei put down his pen, rubbed his brow with his hand, and said distressedly: "It seems that we still need to study prime numbers."

Goldbach's conjecture mainly studies prime numbers.

It is impossible to study Goldbach's conjecture without studying prime numbers.

Because prime numbers are a sinkhole, Ye Fei has always consciously avoided studying prime numbers.

"I must not fall into this sinkhole. I don't want to be like Song Chengkun, jumping repeatedly in the sinkhole of prime numbers."

Speaking of Song Chengkun, Ye Fei suddenly remembered that the last time he attended the Ho Leung Ho Lee Award Ceremony, he invited Song Chengkun to come to Zhonghu University to do research together.

But now more than three months have passed, and Song Chengkun has not contacted him yet.

"Maybe he doesn't want to come!" Ye Feixin said, "What a pity!"

Ye Fei felt that if Song Chengkun came, it would be very helpful to his research.

"Call me later and ask."

"Now let's see where to research."

When studying prime numbers, Ye Fei thought of Mersenne primes.

Ye Fei immediately shook his head: "If you can't study Mersenne prime numbers, there will be no end to the research on this thing. If I study this thing, I won't be able to study other fields of mathematics."

Mersenne primes are derived from Mersenne numbers.

Mersenne number, also known as Mersenne number, refers to a positive integer such as 2^p-1, where the exponent p is a prime number.

If p is a prime number, then this number is a Mersenne prime.

There are 51 Mersenne primes discovered so far, and no one knows how many Mersenne primes there are.

Maybe there are a finite number, maybe there are an infinite number.

"To study Mersenne primes, I might as well study twin primes!"

"Song Chengkun seems to be studying twin prime numbers."

Song Chengkun told him last time that his research on triplets' prime numbers failed.

Therefore, I want to find a simpler way to study twin primes than triplet primes.

"I wonder how his research is going?"

September 1, 2026!

Ye Fei wrote on the paper.

[Define two sets:

{odd prime numbers}={3, 5, 6, 11,…}=p

Reduction by proof by contradiction

Since Proposition 1 is established, as a→+∞ continues to increase, twin prime numbers follow one after another and gradually appear.

Therefore, the twin prime conjecture holds. 】

What Ye Fei proved is that there are infinite twin primes. This proof is valid.

Not all proofs of twin primes have been proved.

There are many proofs of twin primes.

For example, in the eighth problem raised by Hilbert, there are infinitely many prime numbers p such that p + 2 is a prime number.

This problem is also a problem studied by many mathematicians around the world.

Another example is the weakening problem of twin primes.

Zhang Yitang, a famous mathematician from the Xia Dynasty, proved this difficult problem.

This is a world problem. Zhang Yitang is famous in the world of mathematics for proving the weakening problem of twin prime numbers.

When Ye Fei finished his proof, he said blankly: "Is this the end?"

"Isn't it difficult?"

It took Ye Fei 26 days from the beginning to the end to prove the twin prime numbers.

"These are twin prime numbers, and it took me such a short time?"

This is mainly due to Ye Fei's three years of research on algorithms.

A large amount of prime number knowledge is used in the algorithm.

Although he did not deliberately study prime numbers, he had knowledge of prime numbers.

Moreover, twin prime numbers and triplet prime numbers are the least difficult compared to quadruplet prime numbers.

Moreover, Ye Fei only proved a relatively simple problem in twin prime numbers.

All of the above, if Ye Fei cannot prove success, he will no longer be Ye Fei.

Ye Fei took out his phone and looked at the time. It was now ten o'clock in the morning.

"By the way, today is the time for student reporting. I want to see my students."

In fact, in the first year of postgraduate studies, tutors rarely take care of students.

Students usually take classes to lay a solid foundation.

After one year, the tutor will lead them to do project research.

After speaking, Ye Fei put the certificate written in front of him into the drawer and locked it.

Then he left the office.

Ye Fei received his two students in his office in the teachers' building of the school.

One of his two students, one named Lin Yi, is tall and strong, with a square face. He looks very simple and honest, and he looks like an honest person at first glance.

Another student is named Wang Yuan. He is lean and fair, with twinkling eyes and a very smart look.

They all studied at Zhonghu University for their undergraduate degrees.

Seeing them, Ye Fei seemed to see himself when he was just studying in graduate school.

At that time, I was in the same situation as now. On the first day of my first year of graduate school, I was received by my mentor Lu Yishan in the office.

There were three other people at the time, Gao Fei, Zhuang Nan and Zhou Lin.

Ye Fei smiled and said: "Hello, sit down!"

After they sat down, Ye Fei said: "In the first year of graduate school, you just go to class to lay a solid foundation. You should know this!"

The two nodded.

Ye Feidao: "In the second year, I will take you to do research."

"I'm usually very busy, so maybe you won't see me often at school."

"If you need anything, call me."

"Okay!" the two said.

"My requirement is to publish three papers every year. In the first year, my requirement for you is to submit your papers to journals with an impact factor of 1 or above."

The impact factor of a mathematics journal is above 1, which is considered relatively high.

Since he became Ye Fei's student, Ye Fei would teach well and not want to teach a fool.

But because it was the first year, Ye Fei would not have too high requirements for them.

Ye Feidao: "Wait until the second year, I will take you to do research, and I will raise the requirements a little higher."

"I hope you are mentally prepared."

"Okay!" the two said.

In this regard, they had already asked their seniors before going to graduate school.

Writing a paper in class in the first year is a basic operation.

In the second year, the tutor will help you conduct project research and write papers.

The more famous the school and the more famous tutors, the higher the paper requirements.

Impact Factor 1, although it is beyond their expectations, they can work hard to overcome it.

Ye Feidao: "The paper is written, you have to show it to me, and I will help you revise it."

"knew."

Seeing that they agreed happily, Ye Fei nodded with satisfaction.

It seems that the students are quite easy to take care of!

I definitely won't bother myself at this stage. I will worry more about it in a year.

But I won’t bother too much. I just take them to do some research, and the paper will help them look at it.

Ye Feidao: "If nothing happens, just leave!"

The two of them were stunned for a moment, but did not leave. They looked at Ye Fei with blinking eyes.

"What's wrong?" Ye Fei asked doubtfully.

Wang Yuandao: "Teacher, we would like to treat you to dinner."

Graduate students cannot be the same as they were as undergraduates. The relationship between graduate students and their supervisors is relatively close.

Therefore, you should have a good relationship with your mentor, and you should treat your mentor to dinner at this time.

Ye Fei shook his head and said, "No, you are still students and have no ability to make money yet. Now you are still spending your parents' money."

"I'm very busy today. I'll treat you to dinner later."

"It's noon now. You go and eat. I'm going to be busy too."

Lin Yi and Wang Yuan looked at each other, and Wang Yuan said: "Okay!"

After saying that, the two left Ye Fei's office.

Ye Fei also went to the cafeteria to eat, and then started writing a paper on twin prime numbers in the afternoon.

Three days later, he posted the paper on Arxiv.

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