Chapter 13 Impure Thoughts "Throughout this process, we have used x to denote a real character modulo D, where D is greater than a sufficiently large computable number..." Lu Shan spoke slowly and calmly. In his previous life, Mr. Tang Yi's papers were hundreds of pages long. Although Lu Shan had read them, he was unable to replicate them with his current level, let alone display them on a small blackboard. He just made a small extension of his own ideas so that everyone could understand. Sure enough, after Lu Shan started his explanation, the people who had been making a lot of noise shut up. Some students who have done some research on the twin prime conjecture were stunned. They even thought that if they continued to prove the twin prime conjecture according to Lu Shan's idea, even if the twin prime conjecture could not be proved, there might be a major breakthrough! [Points +2] 【Cumulative academic and scientific points: 】 Quan Kai was also shocked. He also didn't expect that Lu Shan, who seemed simple and knew nothing, seemed to be really capable.
Quan Kai carefully took out his latest Nokia N95 mobile phone and clicked the record button. His heart was beating fast, and he could even imagine what kind of wonderful expression Professor Tang Yi would have if he heard Lu Shan's explanation. Quan Kai became jealous. Lu Shan only explained a small part of the lecture before stopping abruptly. The teacher asked everyone to end the discussion and announced the itinerary for the next day. Everyone looked at Lu Shan with an unsatisfied look, and their eyes had changed from disdain at the beginning to admiration. After the group disbanded, many students still came to talk to Lu Shan and asked about his school and the scores of the mathematics league. Quan Kai carefully waited until most of the students had left the classroom, took a picture of the derivation formula that Lu Shan had just written on the blackboard with his mobile phone, and then erased all the contents on the blackboard with a blackboard brush. Afterwards, Quan Kai put the microphone end of his phone upwards into his pocket, quickly caught up with Lu Shan, and took the initiative to greet Lu Shan. "Classmate, I'm really sorry. I was a bit presumptuous just now." Quan Kai's tone became very humble. Lu Shan had lived two lives and could tell at a glance what Quan Kai was here for. He just smiled and said nothing. Quan Kai said hurriedly: "Just now you said the relationship between the lower bound of L(1, x) and the behavior of a type of Dirichlet function L function in a certain domain, and then what!" This is the most critical step, and Quan Kai is eager to know. Lu Shan stopped and looked Quan Kai up and down. Quan Kai looked abnormal and pressed the phone in his bag down. How could Lu Shan possibly tell Quan Kai the following content? He just casually said a formula and let Quan Kai slowly understand it. Quan Kai was like a person who was obsessed with practicing martial arts. After Lu Shan walked away, he quickly took out a pen and paper from his schoolbag and wrote down the formula that Lu Shan had just said. Quan Kai certainly won't be able to sleep tonight. On the one hand, he has to prepare for the final tomorrow morning. On the other hand, he also has to sort out the proof path of the twin prime conjecture through the recording and the formula that Lu Shan just gave him. Quan Kai didn't believe that Lu Shan could really prove the twin prime conjecture, but Lu Shan's thinking and methods were indeed very novel. Professor Tang Yi will come to give an academic report the day after tomorrow. If I can show off my skills in front of Professor Tang Yi, then this fate will be established. After returning to the hotel, Lu Shan simply greeted his roommate and then lay on the bed reading a book.
[Transfer list: Notebook given by Zou Yao] [Teleportation consumes points] [Enter the Singularity Laboratory, consume 2 points] [Remaining points: ] Poincare's face was almost pressed against the table, and the draft paper that Lu Shan brought had been almost used up. I have to give Poincare a new pair of glasses, Lu Shan thought to himself. When Lu Shan saw the contents on the draft paper, he was extremely shocked. Poincare never gave up on the topological conjecture he proposed about three-dimensional manifolds! At this rate, Lu Shan felt that he didn’t even need to bring Perelman’s proof paper to the laboratory, as Poincare could handle it himself. Poincare was in a state of ecstasy, and Lu Shan did not disturb him. Instead, he concentrated on reviewing the test questions in Zou Yao's notebook. It was unknown how long it had passed before Poincare discovered that Lu Shan was also in the laboratory. "What good stuff did you bring me this time?" Lu Shan said: "Twin prime conjecture." Since Tang Yi was going to Jiangzhou University of Technology to give an academic report, Lu Shan also wanted to try to get him. It has been difficult to publish papers, produce any advanced scientific research products, and accumulate academic points too slowly. Even if you want to publish a paper, in the current domestic environment, without any teacher's recommendation, even if you have figured out the Riemann hypothesis, the paper you submit will be thrown into the trash can. Another thing is that parents work too hard. Lu Shan is now eager to find some way to change the living environment at home. Another important use of academic research points is to exchange them for scientific research products that match your academic level. This is also a quick way to make money. Poincaré said, "The twin prime conjecture? That's an interesting topic." The era in which Poincare lived overlapped with the era in which Hilbert lived, so he certainly knew about this problem. It’s just that Poincare didn’t spend much time on this problem in the past. He still focused a lot of his energy on combinatorial topology and mathematical problems of celestial motion. Lu Shan told Poincaré everything he knew about the proof of the twin prime conjecture and sought Poincaré's help. Lu Shan did not want Poincaré to prove the twin prime conjecture. Poincaré only needed to find a starting point and, without relying on unproven inferences, discover that there were infinite pairs of prime numbers whose difference was less than 7000 million or even smaller. Poincaré was also interested in this challenge and he immediately began to think about it. Lu Shan tried his best to keep his mind clear and not leave the laboratory easily so as to give Poincare more time. I don’t know how long it took, but Poincare must have written about a hundred pages of arguments. Lu Shan's energy was really exhausted, so Poincare stopped. Poincaré said: "There is nothing wrong with the idea you just mentioned, but the time is too short. I can only reduce the constant to about 500 million."
"puff!" Lu Shan almost vomited blood! Poincare said with some embarrassment: "If we give it some more time, the constant should be smaller, even if it takes a lot of time to verify it." Lu Shan was not disgusted at all, but rather surprised! In the previous life, from 1900 to 2013, until Tang Yi proved a weakened form of the twin prime conjecture - he discovered that there are infinitely many pairs of prime numbers whose difference is less than 7000 million. Poincare got 500 million directly. If this isn’t genius, then what is! If Poincare had a computer... Lu Shan didn't dare to think about it. Lu Shan carefully collected Poincare's proof draft papers and studied them in detail. And at this time, in Yanjing. The CMO organizing committee is holding an emergency meeting to respond to sudden petitions from all over the country regarding students' eligibility to participate in the competition. (End of this chapter)
