Xueba's life simulator

Chapter 148 I Can't Understand

Because the printed paper with various mathematical formulas written on it in Li Mingzhi's hand is not a complete paper demonstrating Goldbach's conjecture, but a manuscript of the process of proving Goldbach's conjecture.

Therefore, the beginning of the first page of these dozens of pages full of printed paper has neither a centered title nor a concise summary. Mathematical symbols such as > and some English letters are piled up to prove the process.

If a thief sneaked into Zhou Ming's house to steal something, and happened to see this stack of printer paper filled with various mathematical symbols and formulas, I'm afraid he wouldn't take a second look. The fear of being dominated by mathematics is that I will find a way to tear up or burn all these papers.

……Px（1，2）≥0.67xCx/(logx)^2……px（1，1）≥p（x，x^{1/16}）-（1/2）∑px（x，p，x）-q/2-x^(log4)……

At the beginning of reading the first few lines of the first page, Li Zhizhi felt that he was okay. He could understand it, but not to the point where he could not understand the proof process.

Li Mingzhi could not only understand it, he also saw some familiar feeling from these few lines. This familiar feeling came from Chen Jingrun's article titled "1973+1" ​​published in "Hua Guo Science" in 2. Further Improvement of Coefficient Estimation—Large Even Table as the Sum of a Prime Number and a Product of No More Than Two Prime Numbers (II)" paper.

Although Chen Jingrun published the paper "Table of Large Even Numbers as the Sum of the Product of a Prime Number and a Prime Number No More Than Two Prime Numbers", which was referred to as "1966+1" ​​in 2, he did not comment on this paper until 1973. After making improvements and writing detailed proofs, this was the focus of the world, and therefore it was considered a complete sensation in the international mathematics community.

And Chen Jingrun had a huge impact on Li Zhizhi, it should be said that Li Zhizhi and his generation had a huge influence. Their worship of Chen Jingrun at that time was much deeper than the worship of stars by today's star fans.

Therefore, after Zhou Ming used some formulas related to the weighted sieve method in the front of the paper, the first thing Li Mingzhi thought of was not this method, but the paper that Chen Jingrui had proved Goldbach's conjecture "1+2".

However, Li Zhizhi's state of feeling good about himself did not last long. He hadn't finished reading the first page, and he only read half of it. Li Zhizhi's expression soon gradually became bitter and bitter. stand up.

Li Mingzhi took out the first printing paper alone, and he put the rest on the table beside him, holding the paper with one hand on his chest, and looking at it with the other hand, his brows were tightly furrowed, and he looked lost in thought. Appearance began to wander back and forth in the room, while making a "hiss~~~" sound that represented doubts.

In the end, it took more than 20 minutes for Li Zhizhi to read the first page. He walked back to the table where the printing paper was placed just now, picked up the second page of printing paper, and continued to read.

When Li Mingzhi read the content on the second page, his frown not only did not relax, but deepened a lot.

当初1993年6月份安德鲁·怀尔斯证明费马大定理的时候，他的证明被分为6个部分分别由6个人审查，其中由凯兹负责的第三部分查出关于欧拉系的构造有严重缺陷，怀尔斯于1993年12月公开表示很快会补正。

Later, on October 1994, 10, Wiles sent a complete proof of Fermat's last theorem to the world's mathematics community through his former students. Only then did Fermat's last theorem be truly proved.

Then in 1995, Andrew Wiles' proof process of Fermat's Last Theorem was published in Volume 141 of "Annals of Mathematics", with a total of 130 pages.

The proof process written by Zhou Ming on the printing paper, whether it is mathematical formulas and symbols, or some rare Chinese characters, the fonts are not too large, and Zhou Ming’s proof process is still a sorted process, and there is neither arithmetic error nor error in the process. There is a slight alteration in the omission of the proof, and there is no problem that the proof steps are too scattered.

But even so, Zhou Ming’s complete demonstration process on Goldbach’s conjecture has more than 40 pages, and nearly [-] pages of typed paper. If you add a title, abstract, table of contents, and references to the paper Going up, the number of pages has to be increased a lot.

Such an article has a lot of pages, and the proof process includes many improved methods in the future. It seems that Li Mingzhi will find it difficult. If he really wants to review Zhou Ming's proof process of dozens of pages in a short time, it will be difficult for one person. It simply cannot be done.

Frowning and reluctantly reading two pages, Li Mingzhi put the second draft paper full of the proof process back on the table, handed it back to Zhou Ming together with the others, and said to Zhou Ming: "Although I I have only read two pages now, but you have a lot of content in these two pages."

When he said this, Li Zhizhi's tone was full of emotion. It seemed that there was a kind of sadness of "the waves behind the Yangtze River push the waves ahead, and the new ones replace the old ones". Talented people come out, each leading the coquettish for hundreds of years" is gratifying.

"And I see that the sieving method you used can only see a little bit of the sieving method. It cannot be the original sieve of Eratosthenes, nor can it be the sieve of Eratosthenes. Modified Brown's sieve method.

I don't know whether you have used the "weighted sieve method" proposed by Kuhn and the "Selberg sieve method" proposed by Atle Selberg. After all, I have only read it twice. Page. " Li Mingzhi continued to express his thoughts on the two pages he had barely read.

The sieve method is also called the sieve method. In fact, it is very simple. The specific method is to arrange the N natural numbers in order, and then cross out all the non-prime numbers, and keep the prime numbers, and then put all the prime numbers after the prime number. Cross out all the numbers that are divisible by the prime number.

For example, 1 is not a prime number, nor is it a composite number, so it should be crossed out.

The second number 2 is a prime number, so it must be kept, and then all numbers that are divisible by 2 after 2 are crossed out.

2后面第一个没划去的数是3，把3留下，之后再把3后面所有能被3整除的数都划去。

If you continue to do this, all the composite numbers not exceeding N will be screened out, leaving only all the prime numbers not exceeding N.

Because this method was proposed by the Greek Eratosthenes, and the Greeks wrote the numbers on the waxed board. Every time a number is crossed out, write a small dot on it, so that there will be Many small points, these small points are like a sieve, so people call this method "Sieve of Eratosthenes", or "Sieve Method" for short.

As for the Brown sieve method, "weighted sieve method" and "Selberg sieve method", these are all because mathematicians continue to improve the original sieve method when studying number theory problems, and those who contribute more to the improvement of the sieve method If it is too big, people will specially give their improved sieve method another name.

The "weighted sieve method" proposed by Kuhn in 1941 allows us to obtain strong results based on the estimation of the upper and lower bounds of the same sieve function.

The "Selberg sieve method" proposed by the Norwegian mathematician Atle Selberg greatly improves the sieve method by using the method of finding the quadratic extremum.

When he said this, Li Mingzhi stared at Zhou Ming again, and said to Zhou Ming with a serious and serious expression: "Did you use a new mathematical method in this paper?"

"The method I use is somewhat different from the current methods, but you must be able to see the shadow of some other methods from it. This is a completely new method, and it is all improved on the basis of the original. method." Zhou Ming explained.

Hearing Zhou Ming's explanation, Li Mingzhi thought for a moment, then nodded unconsciously with such an expression on his face.

If this were not the case, it would be impossible for him to feel familiar when he read the first part of the first page, but then frown when he saw the back part, not to mention that it took him nearly an hour to read two pages.

Li Mingzhi frowned not because he saw any loopholes in Zhou Ming's paper, but because he seemed to be struggling, just like some college students taking advanced mathematics classes.

"I came here in a hurry today, mainly to see if what you said proves the Goldbach conjecture is true. After all, your speed is too fast, and you finished the entire proof process in less than three days " Li Mingzhi said this, and Zhou Ming was embarrassed by what he said.

However, Zhou Ming just scratched his head with a smile. He knew that Li Mingzhi still had something to say, so he didn't interrupt.

"Now it seems that you really did it, and you also used your own improved method, which is too shocking.

No matter how much I believed in you before, I couldn't fully believe this kind of thing before I saw it with my own eyes.Now it seems that at least I can preliminarily judge that what you said is true.But... by the way..."

When Li Mingzhi said but, he originally wanted to continue talking about the complete proof process of Goldbach's conjecture, but he seemed to have thought of something again, and asked Zhou Ming quickly: "The last time you applied for the excellent youth?" What exactly is the soybean project? Please tell me in detail this time, and stop being too general like when you applied for the excellent youth project. "

It turned out that when Li Mingzhi helped Zhou Ming go to the experimental field to see soybeans these days, he found that the soybeans in Zhou Ming's experimental field were very different from the soybeans he had seen in the field before.

If you are an urbanite who was born in a county after the 82s, you may have never done farm work in the fields since you were young, and you have never seen soybeans in the fields.

But Li Mingzhi was born in 1948. He went to the field and saw soybeans in the field, and the green bean leaves, bean stalks and soybean shells he saw in Zhou Ming's experimental field of soybeans these days are obvious. beyond his cognition.

This is not because Zhou Ming's super beans look different from other soybeans. From the appearance, Zhou Ming's super beans are no different from ordinary soybeans, but because the soybeans on his bean stalks are obviously bigger than Li's. Wise has seen many, many, many before.

For this reason, Li Mingzhi also specifically asked the professors of agriculture at the University of Science and Technology of China, what is the maximum soybean yield per mu in the world.

The answer given by the professor is that the Ugly Country now has the highest soybean yield, with an average yield of 426.7 jin/mu, and the highest record per mu is over 1000 jin.

Li Zhizhi got the results from the agronomy professor and went back to the experimental field to calculate, and found that even the highest per-acre yield record in Ugly Country was still much less than the estimated soybean yield per acre in the experimental field.

It was precisely because he found out about Zhou Ming in the soybean experiment field that Li Mingzhi asked such a question, and this was one of the reasons why he came here on purpose this evening.

It's just that Goldbach's conjecture had shocked Li Zhizhi a lot, so he forgot to ask about it after coming here, and he didn't remember it until now.

"It is to greatly improve the disease resistance, lodging resistance, drought resistance, insect resistance, cold resistance and oil yield of soybeans." Zhou Ming explained.

Zhou Ming's explanation is actually enough to defy the sky. The other research groups come from one project to another. This project can greatly improve any one of the abilities. It is already very good, enough to be reported as a headline by the official media.

But Li Mingzhi didn't pay attention to these at this time. He quickly said to Zhou Ming: "Okay, okay, just tell me how many catties you estimate the yield per mu of soybeans in the experimental field will be."

Zhou Ming estimated how many kilograms of soybeans in the experimental field could be produced per mu. This is what Li Mingzhi wants to know most now.

"The beans in the test field are in the best condition now, and they can reach about three thousand catties per mu." When Zhou Ming said this, Li Mingzhi opened his mouth wide open, with a stunned expression on his face.

Although Li Mingzhi was speechless by Zhou Ming's shock at this time, he still let out an unbelievable "ah".

"Of course, if the higher authorities plan to vigorously promote this kind of super beans, due to various factors such as location and environment, the average yield per mu will definitely not reach that much. I estimate that on average, it should be more than 1000 per mu. Let’s take a catty.” Seeing Li Mingzhi’s dull expression, Zhou Ming quickly explained.

"Three thousand catties, three thousand catties..." Li Mingzhi repeated the number Zhou Ming just said, and then said, "Three thousand catties per mu, even if it is promoted as you said, the average per mu will only be 1000 due to various factors. It’s a lot, a lot. The average weight per acre in Chou Country is more than 400 kilograms.”

"You are simply a blockbuster, a blockbuster is not as loud as yours, it should be an atomic bomb.

Once your research is spread, I am afraid not only the domestic shock, but the entire international community will be shaken, and the stocks of the four major grain merchants may also plummet at that time.

Hehe, not bad, not bad. As expected of me, I heard that the artificial intelligence accurate protein prediction project you collaborated with Professors Chen Wen and Chen Yun is about to produce results?I really dug a piece of gold for HKUST back then. "Li Mingzhi couldn't hide the joy in his heart as he spoke, and even laughed out loud.

However, he soon turned the topic back to Goldbach's conjecture.

"I just wanted to say, whether there is anything wrong with this proof process, I certainly won't be able to finish reading it in a short time, so I can't be sure. Don't say that I don't specialize in number theory, even if I do. It is impossible to understand the process of your proof in a short time.

In this way, I asked a few friends who specialize in number theory to look at your proof process. You probably haven’t slept well in the past few days. You don’t have to go to school tomorrow or the day after tomorrow. Stay at home and rest for two days.

Coincidentally, when you are resting at home, you can also organize this proof process into a paper and post it on the Internet. There are more people and more power, so that more people can see it and get people's approval as soon as possible.If there are any loopholes or mistakes, you can find them as early as possible.

That's it for now, I'll go back today.The impact you gave me today is too great, I have to go back slowly. "

With that said, Li Mingzhi was about to leave.

(End of this chapter)