Chapter 446: 11 proof methods

Chapter 446
"Then we'll hand over these nine." The student in charge of the record turned over the proof process in the record and said to the two.
"Well, nine are definitely enough. If you can't get the first place like this, let alone squeezed in the tent for a night, I will be convinced even if it is 10,000 cold outside." The other person nodded.
"Cheng Nuo, what do you think?" The two reached a consensus, but still gave Cheng Nuo the final decision.
Cheng Nuo pondered for a few seconds, "There is still enough time, let's add a few more, I always feel that nine are not safe."
Seeing that the two were about to speak, Cheng Nuo hurriedly continued before that, "Although the new direction of proof is gone, it is not difficult if it is just a deformation of Eurich's proof."
The two looked overjoyed at the same time.
Although in their opinion, nine proof methods are enough to crush other schools, if there are more, they have no reason to refuse.
No one is too much!
With the last five minutes left in half an hour, Cheng Nuo saw that many school students had begun their final struggle.
Cheng Nuo didn't know how many proof methods they had worked out. In line with the idea that the lion fights the rabbit with all their strength, Cheng Nuo is not prepared to keep any hands.
"There are many variants of Euclidean's proof method, but they are always the same. The rest are proofs of multiplying a series of integers and doing some addition and subtraction. I will just say two."
"Assuming there are only a finite number of prime numbers p1,, pn, let N=p1···pn, then all pi(i=1,,n) are prime factors of N. Since p1,,pn are all prime numbers, where There must be a prime factor of N-1. Let it be pr (1≤r≤n), then pr is a prime factor of N and N-1 at the same time, so the difference between the two is 1, but this is not It is possible, so there are infinitely many prime numbers."
"The other is even simpler. The prime factor of n! +1 must be greater than n. Otherwise, if n! +1 is divided by 1, it cannot be a prime factor. Since n is arbitrary, no matter how many prime numbers have been found, it will still be paid. You can find bigger ones, so there are infinitely many prime numbers."
Cheng Nuo said, and the classmate jotted it down on the paper.
After memorizing it, I checked it back and forth several times from beginning to end, and after finding that it was correct, thirty minutes just passed.
Mr. Edward got out of a tent with his hands behind his back. "The time is up. You each send a representative to give me the proof method you have explored. I will judge whether the method is correct or not, and list the ranking based on the number. Quantity. The quality of the same is the priority."
"Remember, don't forget to write the name of your school. It will take a while for you to start the campfire dinner and fill your stomach. I will announce the result after the dinner."
After collecting the answers from 15 schools, Edward hurried back to the tent with his neck locked and his teeth trembling.
After a few seconds of silence, the young people around the campfire took out their food and started dinner.
The atmosphere of the bonfire dinner was supposed to be happy and noisy, but at this time it looked lifeless. All of them looked worried, and they were both expectant and nervous.
That mood is no different from when I was waiting for the scores to be announced in middle school.
Eating obviously delicious food, but it tastes like chewing wax. From time to time, he looked at the tent where Mr. Edward was.
Of course, one school is an exception.
Cheng Nuo sat on the grass, holding a big fat goose, nibbling with oily hands.
The other two people are also eating with gusto, and they don't see the worry as much as the others.
"Cheng Nuo, this is Harmon Ham, our local specialty, you can try it!"
"This is the top-quality steak, it's already fried, Cheng Nuo, you can try it too."
As the "top heroes", the two of them kept paying tribute to Cheng Nuo.
While eating, Cheng Nuo listened to other people's discussions.
"Hi, Hank, how is your school, how many proofs can you come up with?"
"Not much, not much, only five, it's probably a bit hanging in the top three!"
"Hang a shit, I just asked about it a while ago. The most are just five like you. Most of them are three or four. I don't know if the four of our school can win by quality. Anyway. , Anyway, you are stable."
"It's not a sure thing. If I make a mistake, I can only laugh at me, brother."
Although he said so in the words, his expression did not mean to think about and worry.
Knowing that most schools just come up with four or five proofs, their schools are basically in the top three.
"Hey, Denton, how is your situation at Cambridge University? The three of us have worked out six methods desperately. This time it is estimated that you will lose in Cambridge." It was a student from Oxford University who was talking to Cambridge. The three said with a smile.
Denton, the student in charge of recording, just smiled faintly, "No. We won't lose."
"Oh, who gave you so much confidence? Is it your Huaguo classmate? Although I have to admit that he did brilliantly in the first round of the competition, but that is just a Rubik's Cube after all. There are some of us. A lot of novice Rubik's Cube, let him take advantage of this Rubik's Cube veteran."
"But this time is different. This is a purely mathematical problem. It is not something that can be won by speculation. I am looking forward to the day when he will be revealed." The man laughed.
"Malego, you..." Denton was about to stand up and argue with Malego.
Cheng Nuo smiled and said, "Senior Denton, forget it, Mr. Edward is out."
Sure enough, Mr. Edward walked out of the tent with a piece of paper in his hand.
He sighed, driving away the cold in his hands, Mr. Edward looked around everyone, "The result has come out."
"I am quite satisfied with the answers you submitted. You are worthy of being the pride of the two countries, and even the worst team has proved three proofs within half an hour."
Those few only handed in three proof methods, but the school that still had a chance could not help but pale.
When Mr. Edward said this, it means that they have no chance of winning at all.
"I don't say too much about the extra words. I think you have been expecting the results for a long time, then I will announce the ranking directly.
Edward announced directly from the fourth place ~EbookFREE.me~The fourth place, Imperial College, proposed five proofs! all right! "
"The third place, Oxford University, proposed six proofs, but one of them was wrong!"
Cheng Nuo saw that the Oxford student named Margo had a stiff face.
Although the third place can be regarded as a win, their goal is obviously to go to the first place, only to get a third place, which is not uncomfortable.
"Second place, University of Bonn, proposed six proofs, all correct!"
Malego glanced at the three people at Cambridge University and suddenly felt better again.
Although I was not happy to be ranked third, the depression was wiped out by seeing Cambridge University not even entering the top four.
As Malego thought about it, he heard Edward proclaim in an extremely loud voice:
"The first place, Cambridge University, proposed eleven proofs, all of them are correct!!!"