Chapter 15 Proof! A Weakened Form of the Twin Prime Conjecture The list involves five training institutions and over twenty people in total. In addition to the several students in Chengdu who have been exposed, Jiangzhou City training institutions and the number of people involved are the largest. Director Feng decided on a solution after the meeting. First, cancel these students’ winter camp qualifications, and second, punish the relevant training institutions. After the meeting, Director Feng sent a working group to Jiangzhou to deal with the issue. Jiangzhou University, CMO Winter Camp. After the exam yesterday, all the test papers were sealed and sent to a conference room at Jiangzhou University. The teachers from the organizing committee will give scores on the spot, and the results are expected to be available within three days. Because it involves the selection of candidates for the national training team, the results came out very quickly. During this period, the main activities for the winter camp students are to listen to academic reports and communicate with each other.
The topic that everyone discussed the most was the exam questions from the previous few days, which everyone felt were very difficult. In Group 3, Quan Kai said, "As more and more high school students across the country participate in math competitions, the difficulty of the exams will definitely increase. This is called selecting the best from the best." Quan Kai said this, but he was still nervous inside because there were many questions that he had no idea how to solve. This exam did not meet his expectations at all, and he was afraid that it would be difficult for him to even win a medal. Students also complained: "That's right, today's questions are much more difficult than in previous years, and the gold medal score must be lowered. I expect that this year's gold medal score will be good at 60 points!" “There will definitely not be any students with perfect scores this year.” "Full marks, what are you thinking? For a test of this difficulty this year, getting a score of 90 or above is incredible! It's absolutely impossible to get a full mark!" "Quan Kai, you will definitely get a high score!" "That's right! The top students from Yanjing No. 4 Middle School are awesome every year." Quan Kai was very embarrassed and said, "I should be able to win a medal." The students were excited and praised Quan Kai, saying that he would definitely win the IMO gold medal next. More students exchanged phone numbers and QQ numbers with Quan Kai in the hope of meeting each other in the future. Lu Shan did not participate in the discussion of the topic. He suddenly did not like the atmosphere of the winter camp very much. Lu Shan believes that mathematics is pure, but at least not here. Being with these students was not as easy and pleasant as being with Poincare. After the discussion, Lu Shan, like he did in the previous days, had dinner and went back to the hotel, preparing to rest for a while before entering the Singularity Laboratory. Quan Kai had things to do. He learned that Professor Tang Yi would check into the hotel this afternoon, and would give an academic report on twin prime numbers at nine o'clock tomorrow morning. Quan Kai waited at the hotel entrance early, hoping to meet Tang Yi and tell him some of his ideas on proving the twin prime conjecture in the past few days. Quan Kai certainly did not have the ability to prove the twin prime conjecture, and he could not even prove the weakened form of the twin prime conjecture. However, Lu Shan's proof ideas that day and the formula he gave him in the end made Quan Kai excited.
He reorganized some information according to Lu Shan's ideas. Quan Kai believed that if Tang Yi could see these materials, he would definitely be recognized by Tang Yi. Quan Kai also has his own demands for doing this. Although his grades were good enough to get him into Yenching University or Shuimu University, only students from Yenching No. 4 Middle School with poor grades went to Wudaokou Vocational and Technical School or Zhongguancun University of Applied Arts and Sciences. Quan Kai hopes to study abroad in a prestigious university. In addition to taking language tests and applying to schools, recommendations from well-known professors are crucial. Professor Tang Yi teaches at the University of New Hampshire, but he has a great influence in the American mathematics academic community. If you can get a letter of introduction from Tang Yi, even if your competition results are likely to be poor, you will still have hope of studying abroad and entering a prestigious university. Just when Quan Kai was eagerly waiting, Tang Yi finally arrived! Quan Kai held the proof he had written tightly in his hand and was about to go find Tang Yi. "Professor Tang! Professor Tang!" When he was about to get close to Tang Yi, Quan Kai was dumbfounded! Because it wasn't just me, many other students were holding draft papers in their hands and were about to go find Tang Yi. The security guards simply blocked the students outside and no one could get close. Quan Kai tried hard to squeeze in and was about to reach Tang Yi, but was squeezed out by a fat man next to him. "Why are you pushing me?" Quan Kai cursed, "Do you know what I have in my hand? What I have in my hand is..." Just when Quan Kai was about to speak out, he chose to keep silent. The proof of the twin prime conjecture could not be revealed easily. The fat man said directly: "What is that in your hand? Is it more important than what I have? What I have is the proof of the twin prime conjecture! I want to show it to Professor Tang Yi!" Quan Kai was confused for a moment, looking at the three pages of paper in the fat man's hand, and asked: "Ah!? Have you proved it?" The fat man rolled his eyes: "Nonsense!" Lu Shan, who had just returned from the cafeteria after lunch, couldn't help laughing when he saw this scene. The twin prime conjecture is actually the same as the Goldbach conjecture. The conjecture is very simple. Anyone who is interested in mathematics feels that they can solve it. There are even many mathematics enthusiasts who have tried to prove it and believe that they have succeeded in proving it. They have also submitted papers on the proof to authoritative academic journals such as "Annals of Mathematics" and "New Advances in Mathematics". Of course, without exception, the papers proving these results were ultimately proven to be garbage. Haven't even gotten started, let alone proven it. The truth is simple, but it is not so easy to prove. Seeing that so many students liked him, Tang Yi happily waved and greeted the students, then went upstairs. Lu Shan did not join in the fun, but went upstairs directly through the side door. Since Quan Kai couldn't see Tang Yi, he quickly changed his idea. He hurried to the academic lecture hall where Tang Yi was going to give a report tomorrow and grabbed a seat first. He was determined to do it. At worst, he could just sleep in the academic lecture hall tonight. After Lu Shan entered the Starting Point Laboratory, under the guidance of Poincare, he wrote the weakened form proof of the twin prime conjecture by himself. The weakened form constant can be reduced to about 500 million, which is very impressive in this era. The proof that Lu Shan compiled himself was a full sixty pages long, and he completed it after going to the Singularity Laboratory several times. After putting a period on the last sentence on the draft paper, Lu Shan felt like his body was hollowed out. [Transfer list: 100 pages of proof draft paper]
[Points required: ] Knowledge is so valuable. It took more than a hundred years from 1900 to now for the weakened form of the twin prime conjecture to be barely proved. Knowledge is so cheap that it only costs points to get it. [Transmission completed, leaving Singularity Lab] [Remaining points: ] After returning to the hotel, Lu Shan immediately looked at the draft paper he had purchased. Sure enough, the sixty pages of draft paper were filled with the proof content. He carefully put away the draft paper. At nine o'clock the next morning, more than 600 winter camp students gathered in the second academic lecture hall of Jiangzhou University, waiting for Professor Tang Yi's academic report. Lu Shan arrived very early and didn't get a front seat, while Quan Kai was in the first row. The title of Tang Yi’s report today is: Bounded gaps between primes. Thanks to "一梦前世融今生" and "YUMLONG" for their monthly tickets, and everyone's recommendation tickets, especially the 15 recommendation tickets from "srqq". I can see the recommendation tickets from other book friends in the background. Thank you so much! Thanks to “满船清梦亚星河hzl” for the reward of 100 Qidian coins. You are the first one. Love you! Continue to ask for follow-up reading, various votes! (End of this chapter)