Both the twin prime conjecture and the Goldbach conjecture are undoubtedly the top conjectures about prime numbers. Pen % fun % Pavilion www.biquge.info

They are very representative summative laws in number theory, and they are one of the important manifestations of mathematicians' understanding of nature.

Just as physicists derive the laws of physics through experiments and speculate various hypotheses through thought experiments, mathematicians also use their logic to construct truths, so in essence, the two are essentially the same, and both are human beings who have a more detailed understanding of the world in which they live.

However, previous experience tells us that it is difficult to solve either the twin prime conjecture or the Goldbach conjecture.

Although Zhou Chen is conceited and has keen mathematical ability, he does not dare to compare with those historical math masters, compared to them, he is just a fledgling naïve young man. But from another point of view, that kind of monopoly in the profession is, in the final analysis, esoteric mathematics itself set a high threshold, and perhaps its very existence makes many people daunted.

Since Zhou Chen threw himself into it, he would not be afraid of it.

Time flowed quietly like water, and another two months passed in the blink of an eye.

Beijing Normal University ushered in the season of freshmen again, and Yang Xi also became a senior student.

This semester has not changed much for Zhou Chen, except that his "Astrophysics" has been upgraded from an elective course between departments to expand students' horizons to a compulsory professional course for students in the physics and astronomy departments.

In this way, Zhou Chen's teaching tasks have increased, but the twice-weekly classes have not caused him much trouble.

School of Physical Sciences, University of Chinese Academy of Sciences.

"Old Yang, has Zhou Chen been pondering math problems recently?" Professor Liang Zhiyuan, who was reading the journal "Physics", suddenly put down the magazine and turned his head to say a word to Yang Hexin next to him.

Yang Hexin was stunned for a moment, and said with a smile on his face: "Yes, this kid just doesn't do his job, after winning the Dirac Medal last time, he participated in a seminar with Old Man Zhao, and after he came back, he began to think about mathematics." ”

Liang Zhiyuan nodded thoughtfully: "Physics and mathematics are one family, we focus on experiments, they focus on logic, and when Zhou Chen and Old Man Zhao were supposed to study for a doctorate, they should have thought that his focus would be biased towards mathematics." ”

"Mathematics is the foundation of all science, and it is understandable to turn to mathematics, but there is no need to study mathematics that is too advanced." Yang Hexin had doubts on his face.

In his opinion, mathematics and physics must be combined in the initial stage, but the more advanced they are, the more things they belong to themselves, and the more obvious the differences and gaps will be. After all, there is a bifurcation in the professional direction.

"No, I think it's necessary! We must not be blinded by the reality when we do theoretical research, advanced mathematics seems useless to us, but they may be the most real. Liang Zhiyuan said with a smile.

In other words, although mathematics is all-encompassing, what can really be related to physical laws may only be a very small number of special states that are endowed with harsh conditions.

There is such a thing in history, it seems that there is a group of mathematicians who are idle and have nothing to do all day long to deduce mathematical formulas, and finally derive hundreds of formulas, but are these formulas useful? It didn't seem to be of any use, so the mathematicians threw the formulas aside.

One day, a physicist saw one of the formulas, hey, this "tensor formula" seemed to be a little useful, and when he asked the mathematician, the mathematician didn't know what it was for, so the physicist had the idea to fix a large number of parameters on the formula into specific numbers, and took a special state in the formula, which is the matrix orthogonal form of general relativity on the Riemannian geometric tensor field, which provides the basis for the Lorentz transform.

Yang Hexin nodded thoughtfully, and at this time, the phone on Liang Zhiyuan's desk rang, and Yang Hexin saw that Liang Zhiyuan didn't say a few words after picking up the phone, and his expression changed.

"What's wrong?" He asked, confused.

Liang Zhiyuan said with a strange expression: "We just talked about Zhou Chen, and this kid gave us another hard blow." ”

"What's wrong with him again?" Yang Hexin asked curiously.

"A friend from the editorial department of Advances in Mathematics just called, and they received two manuscripts there, both of which were submitted by Zhou Chen!" Liang Zhiyuan had talked to that friend about Zhou Chen before, so he just received Zhou Chen's manuscript and immediately called Liang Zhiyuan to inform him.

"Oh, he pitched a math paper? What is it? Yang Hexin's face was full of interest, no matter what, Zhou Chen was his disciple, and the mentor was still very concerned about the disciple's actions, especially Zhou Chen, a rising star in the scientific community who was already famous.

"It's two submissions on number theory, and the title is very scary, saying that it cracks the twin prime conjecture and the Goldbach conjecture."

"What, Zhou Chen published a paper to crack the twin prime conjecture and Goldbach conjecture?" Yang Hexin's face was full of shock and disbelief.

If any genius in mathematics proved these two world-class conjectures, he believed it. But Zhou Chen, who was originally a rising star in the physics world, how could he suddenly solve a big problem in the mathematics world?

Zhou Chen's involvement in mathematics should be more about laying a good foundation in mathematics and eventually feeding back into physics, why is it possible to become a new star in the mathematics world if he is not careful?

"Is the message certain? How sure is he? Yang Hexin asked with a stiff expression.

"Now the editorial department of "Progress in Mathematics" is convening an expert committee to review, because it is the first paper in China that is more confident that it has cracked the two conjectures, so the editorial department attaches great importance to it, although the final result is not known, but the editorial department's preliminary judgment proves that the possibility of success is very great!" Liang Zhiyuan's eyes widened, and he felt a hint of incredulity.

To a certain extent, the editorial department's attention to the two papers is not entirely due to its content, and the important reason is the identity of the contributor! The manuscript of the winner of the Dirac Medal, a person of this status, is itself extremely persuasive, and it is natural for him to convene a committee of experts to review it.

For example, in the thirties and forties of the last century, if the editorial office of a physics journal received a submission from Einstein, I am afraid that the reviewers should be very cautious, even if Einstein's theory is wrong, it is estimated that they will have to study it for a long time, and finally dare to euphemistically express their opinions on behalf of the editorial department, and dare not completely deny it with a hammer.

From this point of view, Zhou Chen already has his own academic status in the industry, and it is impossible for him to be rejected by Nature like last time.

Yang Hexin's eyes widened, and he was speechless for a long time.

He now has a feeling, is this Zhou Chen a demon, why can he do things that shock the world in which line he studied?

Soon, the news that the twin prime conjecture and Goldbach's conjecture had been proved spread like wings throughout the mathematical community. However, in the case that "Advances in Mathematics" has not been officially disclosed to the public, everyone is still waiting for further news.

In the past two days, the telephone of the editorial department of "Advances in Mathematics" has not stopped, and famous mathematicians in the mathematical community at home and abroad have called one after another, hoping to get accurate information.

In particular, those mathematicians who were originally engaged in the study of the twin prime conjecture and the Goldbach conjecture kept calling as if they had been stimulated by some kind of stimulus, and the lines of the editorial office of "Mathematical Advances" were almost filled with them.

Some olfactory-sensitive media outlets have also been active, and they have begun to write articles in advance after they have a certain amount of information through multiple visits, and just wait for the last news to come, and their articles will sweep all the major news sections.

"Damn, why is the progress of the gang in "Progress in Mathematics" so slow, it's been two days and it hasn't been reviewed yet!" German mathematician Professor Leo Hard is a senior professor of mathematics at Humboldt University of Berlin, who has been engaged in the study of twin prime conjecture for more than 20 years, and he has witnessed the great breakthrough of twin prime conjecture from endless to (p, p+246).

How he longed to see that legendary treatise soon!

Alex, a professor of astronomy at Princeton University, was the professor who reviewed Zhou Chen's paper on black holes last time, and this time he came to his old friend Professor Vincent, because he heard that Vincent's Goldbach conjecture that he had studied for nearly 30 years had actually been proven, and the interesting thing was that the person who proved Goldbach's conjecture was actually the author of the black hole paper he had reviewed a year ago.

The coincidence in this world is too interesting, and I heard that because of this incident, his old friend Professor Vincent has not been able to eat and sleep for several days.

The entire mathematical community seems to have been stirred up by two conjectures, and Advances in Mathematics finally lived up to expectations, finally announcing the news that the two conjectures had been proved on the fifth day after receiving the manuscript.

Yes, it was indeed proven, and after five consecutive days of discussion and verification by the expert committee, it was finally concluded that there were no logical loopholes in the process of proving the two conjectures. Without relying on unproven inferences, it has finally been effectively proved that there are an infinite number of prime-number pairs (p,p+2).

In the latest issue of Advances in Mathematics, Zhou's proof process is described in detail.

In the process of proof, Zhou Chen used the sexuality theorem of prime numbers, namely the feminine composite number theorem and the masculine composite number theorem, combined with the "completely unequal numbers" and "the distribution overview of the four equal numbers of yin and yang in the natural sequence", which have been determined by the predecessors of mathematics to have a direct effect on the proof of twin prime numbers, as well as the prime spiral that embodies the amazing regularity of the prime number distribution, and cleverly constructed a new set of sn intervals that are basically synchronized with the prime number distribution. Then, using a complex mathematical formula, it is finally proved that (p,p+2) is a prime number.

The whole proof process involves the sexuality theorem of prime numbers, the completely unequal numbers corresponding to twin primes, the distribution overview of the four equal numbers of yin and yang in the natural sequence, the prime spiral, and the sn interval that is basically synchronous with the distribution of prime numbers, and finally the mathematical tools for error analysis with strict rounding.

"I see, I see!" After reading the proof process, whether it was Professor Leohard of Humboldt University of Berlin, Professor Vincent of Princeton University, or other mathematicians who have been engaged in the study of twin primes for a long time, they only felt a flash of inspiration, and the fog in front of them dissipated, and they were surprised to find that they had been so close to success.

Zhou Chen's proof is just a little different, isn't the proof method used still the one they used before?

"What a lucky guy!"

Annoyance, rejoicing, calmness, laughter, there is any mood at this moment.