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Twenty-two, the defeat of Uncle Ge

Looking at the surprised expression that almost popped out of Zeng Shijun's eyes, Jiang Shuiyuan laughed: "You took it seriously? I lied to you!"

Jiang Shuiyuan’s “liarity” means that he did not use throwing rubber to decide the answer during the exam.??           ????     w?w?w?

?b    i?q?u?g?e?.

?cn And in Zeng Shijun's ears, it turns out that he can get 60 or 70 points. Zeng Shijun curled his lips in disappointment: "Is it fun to lie? If you have the ability, just take the first prize in the entire mansion based on your real ability. What's the point of talking?"

Jiang Shuiyuan didn't pay attention to him anymore. Anyway, the buns had meat and were not on the folds. The truth would naturally come out when the scores were announced in the future. Why bother to talk now? He turned around and continued to ask Zhang Jin: "Let's talk, what new things have you seen on the weekend? I can't wait!"

Zhang Jin did not disappoint him, and pulled a piece of draft paper and asked, "You, you should know what the quotient and high mathematics is, right?"

"I know. If the positive integers a, b, c satisfy the equation a^2b^2=c^2, then this set of positive integers (a, b, c) is called a 'quotient high number', such as (3, 4, 5), (5, 12, 13), (8, 15, 17). However, people are used to calling them 'Pythagorean numbers'." Jiang Shuiyuan looked at Zhang Jin thoughtfully: "Why, are you planning to attack the Pythagorean theorem?"

Zhang Jin shook his head and began to write on the paper: "No, no. Yesterday, I happened to see that when a, b, and c are quotient-high arrays, then the uncertain equation a^xb^y=c^z has only positive integer solution x=y=z=2. If you don't believe it, you can try it?" When he was interested, his stuttering problem miraculously improved, and he became clear in pronunciation and spoke eloquence.

To prove that a conjecture is valid, it may take a lot of hard work; but to prove that it is not valid, sometimes just a counterexample is enough. When Jiang Shuiyuan heard Zhang Jin's request, he immediately started to try it with different arrays.

He has a good memory, and there are countless arrays of quotient highs in his head, and his calculations are as fast as lightning: This seems not to work, change one; this doesn't seem to work, change another... Inadvertently, a morning reading class passed like this. Not only did he not find a counterexample, he made his brain hurt, so he had to raise the white flag temporarily: "I tried it, and now at least for commonly used quotient highs arrays, your guess is valid. But the most is not the best test method. The best test method should be proved through mathematical reasoning. I'll try to see if it can be proved, right?"

He didn't read a page of books for a morning, and didn't listen to a minute of class. He devoted himself to the proof of this conjecture, and didn't even do exercises during class. By the end of the last class, his desk was covered with messy draft paper. His head was scratched like a chicken coop, and he was decadent like a literary youth. Zhang Jin carefully advised: "Jiang, Jiang Shuyuan, is this conjecture unproveable? Why don't we ask Teacher Ge in the afternoon?"

What Zhang Jin called "unable to prove" is not that this conjecture cannot be proved through scientific means, but that their knowledge reserves did not reach the level required for proof. Jiang Shuiyuan put down his pen aside: "Sure enough, he is too stupid and read too few books, and he cannot prove it if he lives or die. It seems that he can only ask Mr. Ge in the afternoon!"

Jiang Shuiyuan and Zhang Jin, who were so disturbed by speculation, arrived at the school early in the afternoon and went straight to Ge Juntian's office.

In order to give preferential treatment to this graduate from Jingshi University, the school specially equipped him with a single office, which was filled with various books, materials and snacks. There was also a camp bed. If there was no class, he could even stay in the office for 24 hours a day without going out. When Jiang Shuiyuan and Zhang Jin entered, Ge Juntian was lying on the camp bed while clasping his feet while looking at a new original English academic monograph. When he heard the two of them come in, he didn't raise his eyes: "Are you two doing anything?"

Zhang Jin quickly explained his purpose and finally added: "This is my guess, I made up my mind, but I can't prove it. Today, Jiang and Jiang Shuiyuan have been considering it for a whole morning, but they have not proved it. They all felt it was very difficult, so I came to ask the teacher for advice!"

Ge Juntian did not answer his question directly. Instead, he glanced at Jiang Shuiyuan: "I can't remember if you don't mention that person! Jiang Shuiyuan, you went to participate in the Biology Olympics again last weekend, right? I have told you how many times, don't spread the stall too much. After all, human energy is limited. Look at you, today's Chinese studies, singing, tomorrow's composition, playing basketball, chemistry, biology, and you want to get into the world's knowledge. Do you think you are very energetic and learning so many things makes you particularly capable?"

Jiang Shuiyuan couldn't help but say "I'm sorry" in his heart: Who told me this? Could it be that Mr. Ge buried thunder next to me? So he knew every move well? If this continues, can I still have some personal privacy?

"I tell you, the result of being proficient in everything is that everything is loose, which is a lesson from the past! For example, Zhang Jin's conjecture, if you concentrate on math, can you not prove it in one morning?" Ge Juntian ignored Jiang Shuiyuan's reaction and continued to speak on his own, "Look at me, although he is not as smart as you and is not as handsome as you, I only study mathematics wholeheartedly and never think about it. So although I am only a few years older than you, it is really difficult for me to have ordinary math problems like this!"

Jiang Shuiyuan silently complained: Please Mr. Ge, you are not as simple as how many years older than me. You have learned the true scriptures at Jingshi University. A graduate of Jingshi University actually competes with me as a second-year high school student. Do you look down on me too much or do you want to deliberately ruin me?

After attacking the river water source, Ge Juntian jumped up from the camp bed, picked up chalk and wrote on the blackboard next to him. While writing, he also muttered: "It is true that there are many mathematical conjectures in the world, because every mathematician or mathematician may have a flash of inspiration when he is bored and come up with one or two difficult problems that he cannot prove, but most of these problems will be quickly forgotten, or recorded in a diary, published in a journal, and published in a webpage, and no one cares about it anymore. Why?

"Most of the situation is because the question is too simple, and the result is obvious and not worthy of mathematicians' thinking; there are a few that are very complicated and have not been solved. It is just because the world's top mathematicians are busy with certain significant problems and have no time to pay attention to it. The conjecture you put forward by Zhang Jin should belong to the former. I think I should prove it immediately, so that you will not delay your afternoon class!"

"Yes, is that?" Zhang Jin replied happily and somewhat disappointed, "That's great. I, Jiang and Jiang Shuiyuan can finally attend class with peace of mind!"

As Ge Juntian wrote longer and longer on the blackboard, his writing became slower and slower. In the end, he even had to stop writing carefully for a while before he could slowly write a few lines, or he turned his head and thought for a few minutes before directly erasing a large section and writing again. As time passed by step by step, the time was getting closer and closer to class time, sweat beads on Ge Juntian's body began to emerge, but there was still no sign of proven.
Chapter completed!
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