Looking at Zeng Zhijun's surprised expression that almost popped out, Jiang Shuiyuan laughed: "Are you serious? I lied to you!"

Jiang Shuiyuan said "cheating", which means that he did not throw an eraser to determine the answer during the exam. And listening to Zeng Zhijun's ears, it became a lie to be able to take the test of sixty or seventy points. Zeng Zhijun pursed his lips stupidly: "Isn't it fun to deceive people? If you have the ability, you can take the first prize in the whole house with your real ability, what's the point of playing tricks?"

Jiang Shuiyuan didn't pay any more attention to him, anyway, the meat of the bun is not on the folds, and it will naturally come out when the scores are announced in the future, so why bother talking in vain now? He turned around and continued to ask Zhang Jindao: "Tell me quickly, what new discoveries have you made over the weekend? I can't wait!"

Zhang Jin didn't disappoint him, pulled a piece of scratch paper and asked, "You, you should know what a quotient is called, right?"

"Yes. If the positive integers a, b, and c satisfy the equation a^2+b^2=c^2, then this group of positive integers (a, b, c) is called a 'quotient number', such as (3, 4, 5), (5, 12, 13), (8, 15, 17). However, it is customary to call them 'Pythagorean numbers'. Jiang Shuiyuan looked at Zhang Jin thoughtfully: "What, you plan to attack the Pythagorean theorem?"

Zhang Jin shook his head and began to write on the paper: "No, no. Yesterday, yesterday I stumbled upon the fact that when, when a, b, and c are arrays of quotient heights, then the indefinite equation a^x+b^y=c^z has only a positive integer solution x=y=z=2. If you don't believe you, you can give it a try?" Become articulate and articulate.

It may take a great deal of effort to prove that a conjecture is true, but sometimes a counterexample is all it takes to prove that it is not true. Jiang Shuiyuan heard Zhang Jin's request. Start experimenting with different arrays right away.

He has a good memory, he has an infinite number of quotient arrays in his head, and he is as fast as lightning: this one doesn't seem to work, change one, this one doesn't seem to work, change another one...... Inadvertently, a morning reading class passed like this, and not only did he not find a counterexample, but he tossed his brain painfully. I had to raise the white flag for the time being: "I tried it and found that at least for the commonly used quotient array, your conjecture is true." However, it is not the best test method. The best test should be proved by mathematical reasoning. I'll see if I can prove it, shall I?"

One morning, he didn't read a single page of a book, didn't listen to a minute of class, and devoted himself to the proof of this conjecture, and didn't even do recess exercises. By the end of the last class, his desk was littered with a mess of scratch paper. His hair was also scratched like a chicken coop. The whole person is decadent like a literary youth. Zhang Jin cautiously persuaded: "Jiang, Jiang Shui, is this conjecture impossible to prove? Why don't we ask Teacher Ge in the afternoon?"

Zhang Jin's so-called "unprovable" does not mean that this conjecture cannot be proved by scientific means, but that the knowledge reserves of the two of them have not reached the height required for proof. Jiang Shuiyuan put down his pen in despair: "Sure enough, my brain is too stupid, I read too few books, and I can't prove it alive or dead, so it seems that I can only go to Uncle Ge for advice in the afternoon!"

Jiang Shuiyuan and Zhang Jin, who were made restless by speculation, arrived at 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. It was filled with all kinds of books and snacks, and there was also a camp bed. If there are no classes. He can even stay in the office 24 hours a day without going out. When Jiang Shuiyuan and Zhang Jin entered the door, Ge Juntian was lying on the marching bed while buttoning his feet while reading a new original English academic monograph, and when he heard the two of them come in, he didn't raise his eyelids: "Something is wrong with the two of you?"

Zhang Jin hurriedly explained his intentions, and finally added: "This, this conjecture is me, I made it up, but I, I can't prove it, today, today, Jiang Shuiyuan, Jiang Shuiyuan thought about it all morning, and also, I didn't prove it, all, I think it's so difficult, so I specially came to ask the teacher for advice!"

Ge Juntian didn't answer his question directly, but squinted at Jiang Shuiyuan: "If you don't mention that person, I can't remember!" Jiang Shuiyuan, what kind of biological Olympiad did you go to last weekend? How many times have I told you, don't spread the stall too big, because people's energy is limited after all. Look at you, today you will learn Chinese culture and singing, tomorrow you will write and play ball, and the day after tomorrow you will learn chemistry and biology. Do you feel that you are very energetic, and you are very capable of learning so many things?"

Jiang Shuiyuan couldn't help but "I'm wiping" in his heart: Who told me all this? Could it be that Uncle Ge buried the thunder next to me, so he knows everything about his every move? If this continues, can I still have some personal privacy?

For example, Zhang Jin's conjecture, if you concentrate on learning mathematics, won't you be able to prove it in a morning?" Ge Juntian ignored Jiang Shuiyuan's reaction and said to himself, "Look at me again, although people are not as smart as you, and I am not as handsome as you, but I only study mathematics wholeheartedly and never think nonsense. So I'm only a few years older than you, but it's hard for me to do a common math problem like this!"

Jiang Shuiyuan complained silently: Please, Uncle Ge, you are not just a few years older than me, you have obtained the true scriptures in Jingshi University. A dignified university graduate actually compares my math knowledge with a sophomore in high school, do you think too highly of me, or do you want to deliberately abuse me?

After Ge Juntian hit the water source of the river, he jumped up from the marching bed, picked up the chalk and wrote on the blackboard next to him. As he wrote, he said: "It is true that there are many mathematical conjectures in the world, because every mathematician or math lover 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 are quickly forgotten, or written down in a diary, published in a journal, published on a website, and no one cares about them again." Why?

"In most cases, the problem is so simple that the results are obvious and not worth the mathematician's brains, and a few are so complex that they have not been solved simply because the world's leading mathematicians are too busy with some important problem to deal with it. This conjecture like Zhang Jin's suggestion should belong to the former, and I think I should be able to prove it right away, so as not to delay your afternoon class!"

"Yes, yes?" Zhang Jin replied with both joy and some disappointment, "That's, that's great, I, I, Jiang and Jiang Shuiyuan can finally attend classes with peace of mind!"

As Ge Juntian wrote longer and longer on the blackboard, his writing speed became slower and slower, and in the end, he even had to stop his pen and think seriously for a moment before writing a few lines slowly, or after thinking sideways for a few minutes, he directly erased a large paragraph and wrote again. Seeing that the time passed minute by minute, and the class time was getting closer and closer, the beads of sweat on Ge Juntian's head and body began to bubble out, but there was still no sign of proof.

Suddenly, the bell for class in the afternoon rang, Ge Juntian trembled, and the chalk in his hand suddenly broke into two sections. He laughed dryly: "I didn't take a nap at noon, and the whole person is not in a state." Why don't you go to class first, and come back in the afternoon after school, and the teacher will promise to give you a complete certificate!" (To be continued......)