What is 1+2 in Chen Jingrun?

Let px( 1, 2) be the number of prime numbers p suitable for the following conditions:

X-p=p 1 or x-p=p2p3.

Where P 1, P2 and P3 are all prime numbers.

[This is not easy to understand; You can skip these lines when you don't understand. 〕

X represents a sufficiently large even number.

p- 1 1

Life CX = II-II 1-

p \ x p-2p & lt； 2 (p- 1)2

p & gt2

For any given even number H and sufficiently large X, xh( 1, 2) is used to represent the number of prime numbers P satisfying the following conditions:

P ≤ x, p+h = p 1 or h+p = p2p3,

Where P 1, P2 and P3 are all prime numbers.

The purpose of this paper is to prove and improve all the results mentioned by the author in [10], as follows.

two

The above is quoted from a paper on analytic number theory. This passage is quoted from its "introduction" and raises this question. Followed by "(2) several lemmas", which are full of various formulas and calculations. Finally, "(3) Result" proves a theorem. This paper is extremely difficult to understand. Even a famous mathematician may not understand this branch of mathematics unless he specializes in it. However, this paper has been recognized by the international mathematics community and enjoys a good reputation all over the world. The theorem it proves is now called "Chen Theorem" by all countries in the world, because its author's surname is Chen and his name is Jingrun. Now he is a researcher at the Institute of Mathematics, China Academy of Sciences.

Chen Jingrun, 1933 was born in Fujian. When he was born in this real world, his family and social life did not show him the gorgeous colors of roses. His father is a post office clerk, always running around. If he had joined the Kuomintang, he would have made a fortune long ago, but his father refused to join. Some colleagues said that he was really out of touch with the times. His mother is a kind and overworked woman. She gave birth to twelve children. Only six survived, of which Chen Jingrun was the third. There are brothers and sisters in the world; And brothers and sisters. If you have more children, you won't be loved by your parents. They are becoming more and more a burden to parents-redundant children, redundant people. From the day he was born, he came to this world like a person who was declared persona non grata.

He didn't even enjoy much childhood happiness. Mother has been working hard all day to love him. As long as he can remember, a fierce war broke out. Japan invaded Fujian province. He is too young, so life is on tenterhooks. Father went to a post office in Sanming City, Sanyuan County as the director. A small post office is located in an ancient temple in the mountainous area. This place used to be a revolutionary base. But at that time, Mao Yushi mountain forest has become a miserable world. All the men were slaughtered by the Kuomintang bandit troops, and no one was spared. There are not even old people. There are only women left.

Their lives are particularly bleak. Flower yarn is too expensive; I can't afford to wear clothes, and the big girls are still naked. After Fuzhou was occupied by the enemy, more people fled to the mountains. The planes are not bombed here, and the mountains are a little busy. But was transferred to a concentration camp. In the middle of the night, the whip often echoes painfully; From time to time, there were gunshots shooting martyrs. The next day, those who came out to work in chains looked even more gloomy.

Chen Jingrun's young mind was greatly traumatized. He is often conquered by panic and confusion. He didn't have any fun at home, and he was always bullied in primary school. He thinks he is an ugly duckling. No, it's human. He still feels lonely. It's just that he is thin and weak. It's impossible to be likable just by being so timid. Accustomed to being beaten, he never asks for forgiveness. This made the other side beat him hard, and he was tougher and more endurance. He is too sensitive to feel the cannibalism of those people in the old society too early. He was portrayed as an introverted person with an introverted personality. He fell in love with mathematics. Not because he is oppressed, but because he loves mathematics, and calculating mathematical exercises takes up most of his time.

When I was in junior high school, Jiangsu University moved to this mountainous area from the enemy-occupied area in the distance. Professors and lecturers from that college also come to local junior high schools to take part-time classes, which can improve their lives in exile in different places to some extent. These teachers are very knowledgeable. There is a Chinese teacher with the highest level. Everyone worships him. But Chen Jingrun doesn't like Chinese. He likes two math and science teachers from other places. Foreign teachers also like him. These teachers often boast about saving the country through science. He doesn't believe that science can save the country. But saving the country can't be without science, especially without mathematics. Moreover, mathematics is indispensable for everything. People's discrimination against him, punching and kicking, can only make him fall in love with mathematics more. Boring algebraic equations filled him with happiness and became the only pleasure.

At the age of thirteen, my mother died. Died of tuberculosis; From then on, my son dreamed of his mother, his father got married, and his stepmother was worse than his mother.

After the victory of the Anti-Japanese War, they returned to Fuzhou. Chen Jingrun entered Trinity Middle School. After graduation, I went to Huaying College to attend high school. There is a math teacher who used to be the head of the Aviation Department of the National Tsinghua University.

three

The teacher is knowledgeable and tireless in teaching. He told his classmates a lot of interesting math knowledge in math class. Students who don't love math can be attracted to him, let alone those who love math.

Mathematics is divided into two parts: pure mathematics and applied mathematics. Pure mathematics deals with the relations and spatial forms of numbers. In the part dealing with the relationship between numbers, an important branch of discussing the properties of integers is called "number theory" Fermat,/kloc-a great French mathematician in the 7th century, and the founder of western number theory. But China made a special contribution to number theory in ancient times. Zhou Jie is the oldest classical mathematical work. There is an earlier book, The Art of War. One of the remainder theorems was initiated by China. Later, it spread to the west and was called Sun Tzu's theorem, which is a famous theorem in number theory. Until the Ming Dynasty, China made great contributions to mankind in number theory. The pi calculated by Zu Chongzhi in the 5th century was earlier than that calculated by German Otto 1000 years ago. Scientists led by Joseph named a valley on the moon "Zu Chongzhi". /kloc-The second half of the third century is the climax of ancient mathematics in China. Qin, a great mathematician in the Southern Song Dynasty, is the author of Nine Chapters and Counting Books. He solved linear equations more than 500 years earlier than the great Italian mathematician Euler.

Zhu Shijie, a great mathematician in Yuan Dynasty, wrote "Four Yuan Jade Sword". His solution of multivariate higher-order equations was more than 400 years earlier than that of the great French mathematician Zhu Bi. After the Ming and Qing Dynasties, China fell behind. However, China people seem to have a special talent for mathematics. China should be a great mathematician. China is a good hotbed of mathematics.

Once, the teacher told these high school students a famous problem in number theory. He said that Peter the Great of Russia built Petersburg and hired a large number of great European scientists. Among them, there is the great Swiss mathematician Euler (his works have more than 800 kinds); There is also a German middle school teacher named Goldbach, who is also a mathematician.

1742, Goldbach found that every big even number can be written as the sum of two prime numbers. He has tested many even numbers, all of which show that it is true. But it needs to be proved. Because it has not been proved, it can only be called a guess. He couldn't prove it himself, so he wrote to the famous mathematician Euler and asked him to help him prove it. Until his death, Euler could not prove it. Since then, it has become a difficult problem, attracting the attention of thousands of mathematicians. For more than 200 years, many mathematicians have tried to prove this conjecture, but all failed.

Speaking of which, the classroom has become boiling water. Young students, like the first flowers, chatter endlessly.

The teacher added that the queen of natural science is mathematics. The crown of mathematics is number theory.

Goldbach conjecture is the jewel in the crown.

The students all opened their eyes in surprise.

The teacher said that you all know even and odd numbers. We all know prime numbers and composite numbers.

We taught this in the third grade of primary school. Isn't this the simplest? No, this question is the most difficult. This question is very difficult. If anyone can do it, it will be amazing, amazing!

The young people are quarrelling again. What's the big deal? Let's get started. We can do it. They brag about Haikou.

The teacher also smiled. He said, "Really, I had a dream last night.

I dreamed that there was a classmate among you. He's amazing. He proved Goldbach's conjecture. "

High school students burst into laughter.

But Chen Jingrun didn't laugh. He was also shocked by the teacher's words, but he couldn't laugh. If he smiles, some classmates will stare at him with white eyes. He has become more and more lonely since he entered high school. The students ignored him because he was eccentric, dirty and sick. They looked at him contemptuously and sarcastically.

He became a lonely, lonely, talking to himself and lonely weirdo. In the sky, a lonely goose.

The next day, classes began again. Several hard-working students excitedly gave the teacher some answer sheets. They said that they succeeded, which can prove the German conjecture. It can be proved in many ways. No big deal. Ha! Ha!

"Forget it!" The teacher smiled and said, "Forget it! Forget it! "

"We forget it, forget it. We figured it out! "

"You forget it! Okay, okay, I mean, forget it. What are you wasting your energy on? I won't read any of your papers. I don't need to read them.

Is it that easy? You want to go to the moon by bike. "

There was another burst of laughter in the classroom. Those students who didn't hand in their papers laughed at those who did. They laughed themselves, stamped their feet and burst into laughter. Only Chen Jingrun didn't laugh. He frowned. He was excluded from all these pleasures.

The following year, the teacher returned to Tsinghua. Shen Yuan, vice president of Beijing Institute of Aeronautics and Astronautics and chairman of the National Aviation Society. He should have forgotten these two math classes long ago. How did he know how deeply he was engraved in the memory of student Chen Jingrun?

Teachers are easy to forget because of many classmates, but students often remember their teachers when they were young.

four

Fuzhou is liberated! He was a senior in high school that year. Because he couldn't afford the tuition, he didn't go to school in the first half of 1950 and taught himself at home for a semester. He didn't graduate from high school, but he took the exam with the same degree. He was admitted to Xiamen University. That year, there was only the department of mathematics and physics in the university. There was a math group in Grade Two, but there were only four students. In the third grade, with the mathematics department, these four people are still in the department. Because of excellent grades, there is an urgent need to train talents, and 4 people graduated ahead of schedule; And the job was assigned immediately, and the preferential treatment was enviable. /kloc-in the autumn of 0/953, Chen Jingrun was assigned to Beijing! Work as a math teacher in X Middle School. How happy this should be!

However, otherwise! When he was in Xiamen University, his life was very easy. There are only four college students in the same group and department, but there are four professors and one teaching assistant to guide the study.

How hungry and greedy he is to drink among the flowers and brew fragrant mathematical honey! The effect of learning is very high. How freely he galloped in the abstract field! Everyone's math language is the same as dx and dy. Heart to heart, closely linked. For three years, no one discriminated against him, nor did anyone scold him or beat him. He seldom associates with people and lives a golden age; Immerse yourself in the ocean of mathematics. I can't believe he graduated so soon. At the thought that he is going to be a teacher, standing on the platform and being stared at by dozens of sharp and clever eyes, sometimes it will inevitably be bad, and he can't help shivering!

His guess was immediately confirmed. He is totally unfit to be a teacher. He is thin and ill, but his students are tall and strong. He is not good at talking, so it hurts to say more. How he envies those obedient good teachers. Returning to his room after class, he called himself an idiot. Insulting yourself is much worse than insulting others. He never takes care of himself or pays attention to nutrition. I have a fever of 38 degrees Celsius. He was sent to the hospital for examination. He has tuberculosis and peritoneal tuberculosis.

During this year, he was hospitalized six times and had three operations. Of course, he failed to teach well. But he didn't give up his major. Not long ago, China Academy of Sciences published Hua's masterpiece "On Overlapping Primes". No sooner had it been put on the bookshelf than Chen Jingrun bought it. He plunged into it. Very profound works, very difficult! But he studied it. When he was admitted to the hospital, he also secretly avoided the eyes and ears of doctors and nurses and studied it. He also felt that there was no reason for the school to welcome him like this.

He thinks he may lose his job? What can we do? Fortunately, he scrimped and saved and didn't buy a toothbrush. He never spends a penny casually. He saved almost all his income. When he lost his job, he decided to go home and continue his math research. Saving this money is the guarantee for him to engage in mathematics. This ensures that he can still study mathematics after he loses his job. This is his life: his life is mathematics.

As for what will happen once the savings are used up? He doesn't know. So what should he do?

This is also a difficult problem; This is also an unanswered guess. This guess was later proved to be correct. His illness can't be cured, so he can't be updated in middle school.

The president of Xiamen University came to the Beijing Ministry of Education for a meeting. When a leader of that middle school met him, he was very dissatisfied when he talked about it, and put forward a lot of opinions: How did you train such a high flying man?

Wang Yanan, president of Xiamen University, is a translator of Marx's Das Kapital. He was very surprised after hearing these opinions. He always thought that Chen Jingrun was the best student in their school. He disagreed with what he heard. He thinks this is the arrangement of students' homework, which is inappropriate. He agreed to let Chen Jingrun go back to Xiamen University.

It is said that he can go back to the Mathematics Department of Xiamen University. Strangely, Chen Jingrun's condition has improved. On the other hand, Wang Yanan arranged for him to be a librarian in Xiamen University Library. Instead of managing books, he was allowed to concentrate on studying mathematics. Wang Yanan deserves to be a critic of political economy. He understands the theory of value and the value of human beings. Chen Jingrun also failed to live up to the training of the old headmaster. Indeed, he has made a deep study of China's "Theory of Prime Number Accumulation" and "Introduction to Number Theory". Chen Jingrun ate them all. His experience is not without precedent.

At the beginning, Xiong Qinglai, a great mathematician and educator of the older generation in China, was an importer of modern mathematics in China and taught in Tsinghua University. In the early 1930s, a young man who dropped out of junior high school and taught himself completely after dropping out of school sent Xiong Qinglai a solution to algebraic equations. As soon as Xiong Qinglai saw it, he saw the heroism and extraordinary brilliance in this article. He immediately invited Geng Hua, the author of the book, to come to Tsinghua campus. He arranged for Hua to do literature in the Department of Mathematics of Tsinghua University, so that he could attend many lectures while studying by himself. Later, Hua was sent to Cambridge University in England to study. Xiong Qinglai, a former president of Yunnan University in Kunming, introduced him as a professor at the General Assembly. Hua later went abroad and taught at universities in Princeton and Illinois. After the founding of People's Republic of China (PRC), Hua immediately returned to China and presided over the work of the Institute of Mathematics of China Academy of Sciences.

Chen Jingrun also wrote a special article on number theory in Xiamen University Library and sent it to Institute of Mathematics, Chinese Academy of Sciences. As soon as Hua read the article, he saw the heroism and extraordinary talent in it, and suggested that Chen Jingrun be transferred to the Institute of Mathematics as an internship researcher. Exactly: Xiong Qinglai has a good eye for Jing Run, and Hua has a good eye for Jing Run.

1at the end of 956, Chen Jingrun came to Beijing from the southern seashore again.

1in the summer of 957, Xiong Qinglai, a mathematician, also returned to the motherland's capital from abroad.

At this time, there is a long salty collection and a group of talents are complete. At that time, famous mathematicians included Xiong Qinglai, Hua, Zhang Zongsui, Min Sihe and Wu Wenjun. There are a new generation of Toshihiko, Lu Qikeng, Wan Zhexian, Wang Yuan, Yue Minyi and Wu Fang. , such as the sunrise; There are rising stars, such as Lu Ruqian, Yang Le and Zhang Guanghou, who all went to Peking University to study. In the fields of analytic number theory, algebraic number theory, inclusion number theory, inclusion analysis, geometric topology and so on, there are already many talents, and a Chen Jingrun has been added. Everyone holds a snake bead, and every family holds Jingshan jade. It's all the rage and the lineup is neat. After the conditions were met, Hua made arrangements. Focus on applied mathematics, but also the jewel in the crown, Goldbach conjecture!

five

What is Goldbach's conjecture? Just brush up on the math I learned earlier in the third grade of primary school. Those 1 2 3 4 5, ten million numbers are called positive integers. Those numbers that are divisible by 2 are called even numbers. The remaining numbers are called odd numbers. There is also a number, such as 2, 3, 5, 7, 1 1, 13 and so on. , which can only be divisible by integers such as 1, is called a prime number. In addition to 1 and its primitive number, it can also be divisible by other integers, such as 4, 6, 8, 9, 10, 12, etc. These are called composite numbers. If an integer is divisible by a prime number, the prime number is called the prime factor of the integer. If it is 6, there are two prime factors, 2 and 3. If it is 30, there are three prime factors: 2, 3 and 5. Okay, that's enough for now.

1742, Goldbach wrote to Euler that every even number not less than 6 is the sum of two prime numbers. Such as 6 = 3+3. Another example is 24 = 1 1+ 13 and so on. Someone did such a check on even numbers one by one, and the check reached 330 million, which shows that this is correct. But a bigger number, a bigger number? I guess it should be right. This conjecture should be proved. It's hard to prove

No one can prove it throughout the eighteenth century.

The whole nineteenth century failed to prove this.

This problem began to make progress in the 1920s.

A long time ago, people wanted to prove that every big even number was the sum of two numbers without many prime factors. They want to set the encirclement in this way, and they want to prove Goldbach's proposition is correct step by step by adding a prime number and a prime number (1+ 1).

1920, the Norwegian mathematician Brown proved that every big even number is the sum of two numbers whose prime factor is not more than 9 by an ancient screening method (this is a method to study number theory). Brown proved that the product of nine prime factors plus the product of nine prime factors, (9+9) is correct. This is the result of screening. However, this encirclement is still very large and should be gradually reduced. Sure enough, the encirclement gradually narrowed.

1924, mathematician Rad mahar proved (7+7); 1932, mathematician eissmann proved (6+6); 1938, mathematician Buchstaber proved (5+5); 1940, he proved (4+4) again. 1956, mathematician vinogradov proved (3+3). 1958, China mathematician Wang Yuan proved (2+3) again. The encirclement is getting smaller and closer (1+ 1). But all the above proofs have a weakness, that is, neither number can be sure to be a prime number.

As early as 1948, Hungarian mathematician Lan Ian established another encirclement. It opens up another battlefield. I want to prove that every big even number is the sum of a prime number and a number with no more than six prime factors. He proved (1+6).

However, another decade has seen no progress.

1962, mathematician and lecturer of Shandong university Pan Chengdong proved (1+5), which is an improvement. In the same year, Wang Yuan and Pan Chengdong proved again (1+4). 1965, Buchstaber, vinogradov and the mathematician Pompeii Alley all proved it (1+3).

1966 In May, a bright flare rose into the sky of mathematics. Chen Jingrun announced in the journal Science Bulletin of China Academy of Sciences 17 that he had proved it (1+2).

Since Chen Jingrun was transferred to the Institute of Mathematics, his intellectual bud has blossomed. He perfected the achievements of mathematicians at home and abroad in the fields of integration in a circle, integration in a sphere, Waring problem and three-dimensional divisor problem. These achievements alone, his contribution has been great. But when he had sufficient basis, he advanced to Goldbach conjecture with amazing perseverance. He forgot to eat and sleep, stayed up all night, concentrated on thinking, explored the essence and made a lot of calculations. He is so absorbed in mathematics that he is in a daze. Once, I bumped into a tree and asked who hit him. He devoted all his mind and reason to solving this difficult problem and paid a high price for it. His eyes were sunken. His cheeks were flushed with tuberculosis. Laryngitis is very serious. He has been coughing. Abdominal distension and abdominal pain are unbearable. Sometimes people don't know, but they still remember numbers and symbols. He trudged on the rugged mathematical mountain road, struggling to move his steps. On the plateau of abstract thinking, he climbed steep rocks, descended and then rose! A well-meaning misunderstanding flew into his eyes. Ignorant ridicule got into his ear canal. He is dismissive; He ignored it. He has no time to tell; He would rather endure humiliation. Eating frost and drinking snow, the last step is the last step!

He was panting; Sweat like rain. I often feel that his support cannot go on. But he climbed up anyway. Use your limbs, use your fingers and claws. It's really hard! How many times did you fall up there? Even iron shoes should have worn out long ago. People laugh at the shoes he wears: a pair of shoes that just breathe and won't get beriberi. I don't know how many terrible times I slipped! Almost shattered. He failed countless times. He is not discouraged. He summed up the lessons of failure, connected the failures, welded them together, and made nylon ropes and metal ladders for mountaineering. A fall into the pit, a gain in your wit. Failure once, step forward. Failure is the mother of success; Work consists of failure. He crossed the snow line, arrived at Xuefeng and modern glaciers, and felt that the lack of oxygen was more serious. How many times have mountains been closed by ice and how many times have avalanches been buried! He is like those heroic mountaineers who conquered Mount Everest, climbing, climbing, climbing! And malicious slander, malicious slander is like dark clouds and nine winds. However, enthusiastic support cleared the dark clouds for him; The loving sunshine warmed him again. He is indomitable towards his goal; Keep moving, keep climbing. Overcome the difficulty of climbing the first step; There is a difficult second step cliff ahead. He only knows how to climb, above the abyss; He just climbs, between infinite scenery. A piece of combat manuscript paper flew like a heavy snow all over the sky and covered the earth. Numbers, symbols, lemmas, formulas, logic, reasoning, products on the floor, three feet deep. Suddenly it became a mountain under my knee, with thousands of snow lotus. He finally reached the only way to the top and climbed the steps of (1+2).

He proved this proposition and wrote a paper of more than 200 pages.

Teacher Min Sihe carefully read the manuscript for him. Check and check, check and check. Yes, his proof is correct and reliable. He told Chen Jingrun that (1+3) large high-speed electronic computer was proved to be used last year. And your proof (1+2) depends entirely on your own calculation. No wonder the paper is so long. It is too long. I suggested that he simplify it.

The "document [10]" mentioned in the last sentence of the first paragraph of this paper was published in the bulletin of science in the form of a briefing, but only the results were mentioned, and his proof has not been published yet. He is revising his long paper. At this juncture, Chen Jingrun was suddenly involved in the political revolution. The billowing waves are pounding the ideology of all exploiting classes. The unprecedented Great Proletarian Cultural Revolution, like the successful tests of the spiritual atomic bomb and the hydrogen bomb, exploded continuously on the land of China.

six

The cultural revolution initiated by the proletariat is also a political revolution. The treacherous and changeable bourgeoisie has to fight to the death. There has never been such a great mass movement in human history. A quarter of all mankind, regardless of gender and age, mobilized together. This magnificent revolution involves workers, peasants, soldiers, working people and intellectuals, as well as saints and demons. Report and be reported, expose and be exposed, criticize and counter-criticize, criticize and self-criticize. Everyone touches the soul; The pollution accumulated in three thousand years should be washed away. Our life is full of vigor and vitality; Many dark things in life are exposed by themselves. The dregs floated to the surface; It's easy to get rid of them The main aspect of our socialist society is bright and radiant; The harm of dark things is becoming more and more obvious.

This is the struggle between progress and retrogression, truth and absurdity, light and darkness, and the struggle between proletarian giants and bourgeois monsters! There was a civil war in China. There is organized excitement, led fighting and orderly chaos everywhere. The proletarian revolution is always criticizing itself. Victory again and again; Over and over again. Do things that seem to have been done over and over again, and do these things over and over again, and make new improvements every time. It looks for its weaknesses, shortcomings and mistakes without mercy. As Marx said, in order to make the enemy stronger, he retreated again and again until no way back, and then he made a jump on Rotosh Island. Smash the enemy and celebrate in the rose garden. I saw scene after scene, flashing, as fast as lightning and earth-shattering. One play after another, rehearsed, joys and sorrows; The mixture of sadness and joy is touching. One by one, they are on the stage. Some fell into the sand and deserved to die; Four families, a dream of red mansions; Some of them are short-lived and disappear quickly.

But there are pines and cypresses, which are more important than Mount Tai. Although they still exist, their heroic spirit will last forever! Some are national outstanding heroes and outstanding figures; Ganjiang Mo Xie, tempered; The bell is silent, cutting iron like mud. Page after page of history has been written, and finally there is selfless public opinion. Affirmative-negative-negative negation. Make-up should not be taken off for a long time; Those who are falsely accused will be proved innocent in the end. If the seeds are sown, there will be a harvest day. What you broadcast, what you receive.

Astronomical geography should be reviewed; Physical chemistry should be reviewed. Biology should be reviewed; Maths should also be reviewed. Chen Jingrun was put to the most severe test in the great proletarian cultural revolution. The mathematicians of the older generation have been hit, and even the young and middle-aged can't escape. The solemn academy of sciences was harassed; The hot laboratory is empty. Debate day and night; A bitter quarrel. Actions speak louder than words; Fist instead of tongue. The great proletarian cultural revolution was like a sieve. Everything must be filtered through this sieve. It also uses screening methods. What should be screened out should be screened out at last; What shouldn't be screened out can't be screened out.

It has always been emphasized that scientists should work with peace of mind, study hard and be fascinated by their majors. Chen Jingrun is also regarded as a typical example of the so-called bourgeois scientific research line. It is true that he delves into learning all day. I don't care about politics, yes, but I have also participated in previous political movements. * * * The production party is good and the Kuomintang is bad. This simple truth is very clear to him. Mathematicians' logic is as solid as steel; He stands firm. He didn't make any mistakes. In political history, Chen Jingrun is innocent. He is as white as a crane. Stains will not stick on crane feathers. The crane top is bright red; His eyes are bright red, too, which may be because he stayed up late. He used to work in a factory and used mathematics to serve production, although he was engaged in the basic theoretical science of number theory. But he doesn't care about politics. Finally, politics will care about him. Besides, we should severely criticize him. This criticism is light enough to touch him.

Only by moving him can he pay attention to the line and politics in the future. Criticism is not afraid of excesses, and correction must be excessive. But, can you push him across the enemy's line with a push? Can you push him into the "dictatorship team"? What's wrong with trying to eliminate external interference and concentrate on scientific research?

Well-intentioned misunderstandings are easy to correct. Ignorant ridicule can also be forgiven. When criticizing a mathematician, you must always know some mathematical characteristics. Otherwise, I don't know what I'm talking about. Chen Jingrun was criticized. He was taken by the hat factory: a revisionist, a diamond fan, a typical road expert, an idiot, a parasite and an exploiter. There is such a stupid saying: This person studies the problem of (1+2). He is working on a set of incomprehensible mathematics. To hell with Goldbach's conjecture! (1+2) What a big deal! Isn't 1+2 equal to 3?

This man sneaked into the Institute of Mathematics, took the salary of the state, ate the millet of the people, and studied what 1+2 = 3, what the hell? ! Pseudoscience!

People who say such things look like idiots.

It is understandable for people who don't know mathematics to say such things, but some of them clearly know mathematics and know Goldbach's conjecture, a world-famous problem. So, this is malicious slander. Power makes people unconscious; Factionalism is maddening.

It is difficult to understand a person. It is not easy to understand a mathematician. As for understanding a malicious slanderer, it is easy and not difficult. It's just that Chen Jingrun is ill. He is very ill. The steel works also visited. Chen Jingrun listened to those disgusting insults, salivating, couldn't hear clearly. He stared blankly.

His eyes are black and he can't see anything. He shivered like a fever. A strong doubt haunted him. His pale cheeks were stained with blood. A sudden illness left him black and blue. He was dizzy and went into shock, and fell from the sky to the ground. "What the bourgeoisie thinks is the most revolutionary event is actually the most counter-revolutionary event. The fruit fell at the feet of the bourgeoisie, but not from the tree of life, but from the tree of good and evil. "

(Marx: "Fog Moon 18th"-II)

seven

The typhoon center is very quiet.

After a while, I don't know how many days and months have passed. The life of the "dictatorship team" is very calm. However, people circling in the typhoon are anxious, busy, scheming, shouting, fighting, not eating or sleeping, enthusiastically protecting their factionalism and madly attacking each other's factionalism. They are too busy with factional struggles to take care of their "dictatorship" goals. At this time, an old Red Army took the initiative to take care of them. In fact, he is an enthusiastic supporter. He protected Coe.