Chapter 16 This guy gets full marks! As soon as Tang Yi entered the academic lecture hall, warm applause broke out. As a Xia citizen, Tang Yi has achieved considerable success both at home and abroad, and deserves the students' warm applause. Tang Yi waved to his classmates again and again and thanked them. The applause stopped after several minutes. After a brief opening speech, Tang Yi entered into the topic of today’s academic report, “Bounded distances between prime numbers.” This is actually a weakened classification of the twin prime conjecture. Although Tang Yi did not provide a complete proof, he was able to analyze it from an academic perspective, from the perspective of mathematical development, and from the perspective of his own research in recent years. Professor Tang’s academic report was easy to understand, lively and interesting. The students listened attentively and burst into warm applause from time to time. The academic report is mainly divided into two parts. The first part is to talk about the bounded distance between prime numbers from a macro perspective. The second part is to prove the bounded distance between prime numbers from a technical point of view.
Of course, Tang Yi had no way to prove it. He just told his students what stage he had reached in his proof, what problems he encountered, and what inspirations he got. We also hope that this method can stimulate students' strong interest in mathematics and some difficult mathematical problems. Many students who were preparing to go to Professor Tang Yi yesterday to tell him that they had proved the twin prime conjecture were speechless and tore up their proof draft papers when they saw the steps of Tang Yi's proof. Many students made mistakes from the beginning and completely misunderstood the problem, becoming so-called "amateur scientists", let alone proving it. Only Quan Kai became more shocked the more he listened. Because the steps of Professor Tang Yi's previous proof were basically the same as the steps explained by Lu Shan that night. That is exactly the same steps as Quan Kai sorted out himself. Quan Kai couldn't help swallowing. He looked for Lu Shan among the crowd, but didn't see Lu Shan. For his own future, Quan Kai also gave it his all. He planned to find an appropriate opportunity and raise his hand to speak during the break of Professor Tang Yi's lecture, and say out loud everything that Professor Tang Yi was going to say. Only in this way can Tang Yi's attention be attracted. Lu Shan was sitting at the back of the academic lecture hall, watching Tang Yi's academic report with a smile on his face. He could even predict where Tang Yi's proof would come to an abrupt end. At this moment, we are in conference room 320 of the teaching building of Jiangzhou University. The meeting room was closed and the teachers graded all the papers. Since the grading is done in an assembly line manner, that is, there are 12 teachers, and each teacher only grades a part of a question, and will not grade the entire test paper or the entire question. No one knows how the students scored. The 43-year-old Chen Liang, the leader of the CMO scoring group, stood up and stretched. He was a little tired and said to the teachers who had completed their work: "What do you think of the difficulty of the questions this time? How did the students score?" The teachers in the scoring group also complained:
“This year’s finals questions are much more difficult than in previous years.” "From the grading results just now, very few students were able to complete even one question." "It's not that there weren't any. On the second day, one student answered all the questions in number theory correctly, which is pretty impressive." "I don't know if there will be a perfect score on the exam this year. There was a perfect score last year." "Don't even think about getting a perfect score. 90 points is already very good. Based on the difficulty of this question, I think the passing score for the national training team this year may be around 88 points. 90 points is definitely out of the question." Chen Liang clapped his hands and said, "Okay, let's stop discussing this. This year's questions are indeed difficult. Let's just count the scores first." The teachers immediately divided the work and entered each student's score into the computer and then counted the scores. Due to the principles of confidentiality, fairness and convenience of statistics, when entering scores, the corresponding column only contains the student ID number and does not mention the specific name of the candidate. Soon, the scores were counted. Chen Liang quickly asked Teacher Li to sort the scores from high to low, first looking at the highest score this time, then looking at the average score and the results of the national training team (the top 60 people), and finally drawing the score lines for the gold, silver and bronze medals. After Teacher Li sorted them out, he found it a little unbelievable. The other 11 teachers, including Chen Liang, all came over and asked quickly, "How is it? How many points did the first place get? Did it make the top 100?" Teacher Li looked at the computer screen and said in disbelief: "126 points, full marks!" "Full marks? Is there really a full mark?" People didn’t quite believe it! "It's really a full score!" Teacher Li looked at the sub-scores of each question in detail, all of which were 21 points! The total full score was 126 points! "There was only one perfect score! The second place got 98 points. The difference between the first and second place is so huge!" Chen Liang was excited! "There really are some top students who can get full marks on questions of this difficulty. It's not easy." "Hurry up and look at the student ID number, find the student's name, and see which province and school he is from." Just at this time. There was a commotion outside the meeting room, followed by a knock on the door. "Team Leader Chen, have you finished grading your papers? Is it convenient for you to come in now?" Chen Liang said, "I have finished grading. You can come in. Please wait a moment." Chen Liang had no choice but to put down his work, asked everyone to reseal the corrected test papers for inspection, and then went to open the door. The people who came in were Deputy Director Hu Qing and staff from the CMO Organizing Committee. Chen Liang asked curiously, "Director Hu, why did you come here from Yanjing?" Hu Qing smiled, "Team Leader Chen, you have worked hard during this period. Have you finished the final exam?" Chen Liang said: "The test scores have come out, and we are currently calculating the scores and setting the score ranges." Hu Qing asked, "The test papers and the students' information are sealed, right?"
Chen Liang was even more puzzled. "The information is all there, and it's all sealed." Hu Qing nodded and said, "There are some issues with the qualifications of the students who are participating in the CMO Winter Camp. We need to re-examine the student qualifications. The scores of students with questionable qualifications will be invalidated. I will trouble Team Leader Chen to recalculate the scores later." "Ah!?" Chen Liang was stunned. "Is there a problem with your qualifications?" Before Chen Liang had the chance to ask why, the staff had already entered the conference room, took out the sealed test papers again, and took out a list. They checked one by one and eliminated the test papers of students whose correct student numbers and names were marked on the list. In the second academic lecture hall, after more than an hour of long and vivid lecture. Tang Yi said: "The difficulty of the proof is still to see through the essence of natural numbers. Since the distribution of twin primes is extremely uneven and becomes increasingly sparse as the number increases, we need to look at this problem from a higher perspective." Quan Kai felt that the opportunity had come! He stood up and said loudly: "Professor Tang, please take a look at my solution!" (End of this chapter)
