Chapter 17 Earned a lot of points! Quan Kai's voice was loud and clear, and he didn't even care about Tang Yi's consent, but stood up directly. Tang Yi is quite amiable and he also likes to communicate with students. It doesn’t matter even if some students give opinions that are absolutely wrong. Proving difficult mathematical problems is also a form of pursuit of truth. Everyone looked at Quan Kai and whispered. "How can he prove something that even Professor Tang can't prove?" "You must be kidding. It must be another amateur scientist." 权恺说道：“我们可以先证明前面说的证明定理2假设1≤i≤ko，则D=X^（1/2-ε）在上式()的左侧，由Bombieri-Vinogradov定理可以得知……” Quan Kai took out his draft and read it one by one, afraid of making mistakes. He was also observing Tang Yi's expression and found that Tang Yi was confused at first, then his brows relaxed, and then he wrote on the blackboard according to Quan Kai's speaking speed and content.
The students who were talking gradually quieted down, and everyone was extremely shocked. I can’t believe that a high school student could actually make a difference in the twin prime conjecture. However, all the content Quan Kai knew was secretly learned from Lu Shan. After talking for a few minutes, Quan Kai didn't know what to say. "Professor Tang, this is all I can think of at the moment." Tang Yi nodded repeatedly and said, "What's your name?" When Quan Kai heard this, he got excited and said, "My name is Quan Kai, and I'm from Yanjing No. 2008 High School, Grade 6, Class ." The students looked at Quan Kai with envy. Being known by Professor Tang Yi will bring many benefits in the future! Tang Yi said: "The more you debate, the clearer the truth becomes. Quan Kai's idea just now really gave me a lot of inspiration!" “So, don’t be afraid of difficult math problems. As long as you think carefully and reason about them, you will be able to gain some inspiration and truth.” Tang Yi appeared calm on the surface, but he was extremely shocked inside. He had tried the idea that Quan Kai mentioned before, but was always stuck at the critical point. The formula that Quan Kai just mentioned made him completely understand! He couldn't imagine that these words came from the mouth of a senior high school student. But Tang Yi was not sure whether the steps and formulas Quan Kai said were correct, so he had to do further calculations. Just as Tang Yi fell into deep thought and the students were still thinking about the steps of the proof. A faint voice sounded from the back row of the academic lecture hall: "The formula is used incorrectly, and there is a problem with the theorem citation." "You don't even think about it, you just copy it, ah..." When Lu Shan gave Quan Kai advice that day, he deliberately left a formula that seemed to be correct, but was actually wrong and ambiguous. However, Quan Kai used it without even thinking about it. The academic lecture hall was already very quiet at this time. As soon as Lu Shan spoke, the students around him stared at him. Quan Kai alone shocked everyone, but Lu Shan actually said that the formula was wrong.
"You understand too?" asked the student who was already dizzy. "It can't be wrong. Professor Tang didn't even say it was wrong." The back row became noisy. Tang Yi and Quan Kai also noticed the back row. At this moment, Quan Kai's face changed suddenly and he felt extremely nervous. He had just been looking for a long time and thought that Lu Shan had not come to listen to the report. He did not expect that Lu Shan was sitting in the last row. Tang Yi was willing to interact with students, and now that the content was almost finished, he smiled and asked: "Student in the back row, what did you just say? If you have any ideas, feel free to speak up." Say? How do you say there is too much content? Lu Shan stood up, walked to the podium, picked up the chalk, and crossed out the formula that Quan Kai had just said but did not erase it. Then continue writing below: ∑ subscript (D2... (the formula is not displayed when it is typed) Lu Shan kept writing without looking back or explaining, as if he was creating a work of art. The students began to make a lot of noise. Some who could understand it found that Lu Shan's proof was more reasonable, while those who couldn't understand it were completely confused. Tang Yi's eyes widened even more. He completely forgot that he was giving an academic report and completely entered into the mathematical world written by Lu Shan. If Quan Kai just gave Tang Yi an idea, and whether it was correct still needed Tang Yi to verify, then Lu Shan's writing on the blackboard completely brought Tang Yi into the world of truth. The more Tang Yi watched, the more excited and nervous he became. The research I have been doing for so many years is about to be proven by a senior high school student! After Lu Shan finished writing on the last blackboard, he went to the first blackboard, wiped off the writing on it, and continued writing. There are more than sixty pages of supporting materials, and it is definitely impossible to write them all on a few blackboards. But Lu Shan wrote about the most critical steps, so even if he didn't write about the rest, Tang Yi would understand it. Tang Yi was extremely excited and thrilled. He was 100% sure that if Lu Shan continued to prove it in this way, the weakened form of the twin prime conjecture would definitely be proved! And the constant should be much smaller than you think! Mathematics teachers from Jiangzhou University who came to listen to lectures in the academic lecture hall, as well as Shuimu University, Yenching University and other universities who came to visit the winter camp also had their eyes wide open. Students may not know much about what Lu Shan is doing, but the mathematics teachers and even professors in these universities understand. Their breathing was rapid and they felt unbelievable! A problem that has troubled mathematicians for a century. This student may really kick the door open! Mr. Gao, a math teacher at Jiangzhou University who was sitting in the first row, looked at Lu Shan carefully. Wasn't this the student who slept during the exam that day but answered all the questions? Liu Qi, deputy director of the Department of Mathematics at Shuimu University, whispered to the teacher next to him: "What is the name of this student, and which high school is he from?" During this period, teachers from the mathematics departments of many universities have gone to the winter camps. In addition to inspecting the winter camps, the most important thing is to inspect the students. Mathematics is different from other subjects. Talent and understanding are sometimes more important than hard work. "I don't know. I'll check it out later." Teacher Gao is also very sorry! He only saw Lu Shan's answers to the questions, but did not see Lu Shan's name and student number. Just at this moment, the bell for the end of get out of class rang. Lu Shan naturally stopped writing with the chalk in his hand. Before he knew it, he had written three notes on the blackboard, but he still hadn't finished the proof.
[Points: +70] [Remaining points: ] Lu Shan also took a deep breath! Sure enough, only by engaging in academics can one get higher academic scores! The points are full this time! Tang Yi woke up from the world of numbers. He swallowed and asked, "This should prove that there are infinitely many pairs of prime numbers with intervals less than a fixed value." There is more communication between academics, and it is so pure. No one asks the other person's name or which school they are from, but instead talks directly about the problem. Lu Shan said modestly: "This is just a beginning to prove the twin prime conjecture, but it is still a long way from being proven." Neither of them noticed that after the bell rang, many CMO organizing committee staff and teachers from Jiangzhou University walked in. Leading the group was Hu Qing, deputy director of the CMO organizing committee, followed by Chen Liang and other teachers and staff from the scoring group. (End of this chapter)