universal data
Chapter 443 One Proof
Chapter 443 Eleven Proofs
446 chapter
"Then let's hand in these nine." The student in charge of recording flipped through the recorded proof process and said to the two.
"Well, nine is definitely enough. If you can't get the first place like this, let alone squeezed in a tent for one night, I will be convinced even if it is [-] in the cold outside." Another person nodded and said.
"Cheng Nuo, what do you think?" The two reached a consensus, but they still left the final decision to Cheng Nuo.
Cheng Nuo pondered for a few seconds, "There is still enough time, let's add a few more, I always think nine is not safe."
Seeing that the two were about to speak, Cheng Nuo rushed forward and continued, "Although the proof method of the new direction is gone, it is not difficult if it is just a deformation of the Eurician proof method."
The two looked overjoyed at the same time.
Although in their view, the nine proofs are enough to crush other schools, but if there are more, they have no reason to refuse.
No one can have too much!
With the last 5 minutes left in half an hour, Cheng Nuo saw that many students in the school had begun their final struggle.
Cheng Nuo didn't know how many proof methods they had come up with. Based on the idea that a lion can beat a rabbit with all his strength, Cheng Nuo didn't plan to hold back anything.
"There are many variants of Euric's proof method, but they all remain the same. The rest are just multiplication of a series of integers and then some addition and subtraction proofs. I will briefly mention two."
"Assume that there are only a finite number of prime numbers p1, . Prime numbers, one of which 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 it is also the difference between the two—that is, 1 , but this is impossible, so there are infinitely many prime numbers.”
"The other one is even simpler. The prime factor of n!+ 1 must be greater than n. Otherwise, the remainder 1 after division by n!+ 1 cannot be a prime factor. Since n is arbitrary, no matter how many prime numbers have been found, the Larger ones can be found, so there are infinitely many prime numbers.”
As Cheng Nuo said, the classmate wrote it down on the paper.
After memorizing it, I checked it back and forth several times from beginning to end, and found that it was correct, and the time of three to ten minutes just passed.
Mr. Edward got out of a tent with his hands behind his back, "It's time, you each send a representative to give me the proof method you have explored, and I will judge whether the method is correct or not, and list the rankings according to the quantity. Quantity The same quality is preferred."
"Remember, don't forget to write the name of your school. I'll need a while, you start the campfire dinner first, fill your stomachs, and I will announce the results after the dinner is over."
After collecting the answer sheets from fifteen schools, Edward hurried back to the tent with his neck locked and his teeth chattering.
After a few seconds of silence around the campfire, the young people took out food and started dinner.
The atmosphere of the campfire dinner should be happy and noisy, but at this time it seems dead.All of them looked worried, with anticipation and nervousness in their hearts.
That kind of mood is no different from when I was waiting for the results to be announced in middle school.
Eating food that is obviously delicious, but it tastes like chewing wax.From time to time, his eyes looked at the tent where Mr. Edward was.
Of course, there is one school that is an exception.
Cheng Nuo was sitting on the grass, hugging a big fat goose, gnawing on it with greasiness in his hands.
The other two also ate with gusto, without any worries on their faces like the others.
"Cheng Nuo, this is Harmon ham, our local specialty, try it!"
"This is the prime steak. It's already fried. Cheng Nuo, try it too."
As the "number one hero", the two kept showing courtesy to Cheng Nuo.
While eating, Cheng Nuo listened attentively to other people's discussions.
"Hey, Hank, how's your school doing, and come up with some proofs?"
"Not many, not many, there are only five, it's probably a bit of a surprise to be in the top three!"
"Hanging fart, I asked around just now, and the most are just like you, five, and most of them are three or four. I don't know if the four in our school can win by virtue of quality. Anyway , anyway, you are stable."
"It's not guaranteed. If I make a mistake, I can only make a fool of myself, brother."
Although he said so in the words, there was no thought or worry on his face.
Knowing that most schools only come up with four or five proof methods, their school is basically guaranteed to be in the top three.
"Hey, Denton, what's the situation in your Cambridge University? The three of us worked hard to come up with six methods. This time, your Cambridge is probably going to lose." The speaker was a student from Oxford University, who came to Cambridge The three of them laughed and said.
Denton, the student in charge of recording, just smiled slightly, "No. We won't lose."
"Oh, who gave you such confidence? Could it be you, Huaguo student? Although I have to admit that he did perform well in the first round of the competition, it was just a Rubik's Cube after all. There are some of us A lot of Rubik's Cube novices let him, a Rubik's Cube veteran, take advantage."
"But it's different this time. This is a purely mathematical problem, and it's not something that can be won by chance. I'm looking forward to it now, looking forward to the day when he will reveal his true colors." The man laughed.
"Malegor, you..." Denton was about to stand up and argue with Malago.
Cheng Nuo smiled and said, "Senior Denton, forget it, Mr. Edward has come out."
Sure enough, Mr. Edward came out of the tent with a piece of paper in his hand.
He took a breath and drove away the cold on his hands. Mr. Edward looked around the crowd, "The result has come out."
"I'm quite satisfied with the answers you submitted. You are worthy of being the pride of the two countries. Even the worst team proved three proofs within half an hour."
The faces of those schools that only handed in three proof methods, but still took chances, turned pale.
Seeing Mr. Edward say this, it means that they have no chance of winning at all.
"I won't say too many extra words. You must have been looking forward to the result for a long time, so I will announce the ranking directly."
Edward announced directly from No.4, "No.4, Imperial College of Technology, proposed five proofs! All correct!"
"No.3, Oxford University, proposed six proofs, but one of them was wrong!"
Cheng Nuo saw that the Oxford student named Malago froze.
Although No.3 was considered to have won, their goal was obviously to go to the first place, and they only got third place, so it's not uncomfortable.
"No. 2, University of Bonn, proposed six proofs, all of which are correct!"
Malego glanced at the three people at Cambridge University, and suddenly he felt better again.
Although I was not very happy to get the third place, but seeing that Cambridge University could not even rank in the top four, the depression was swept away.
While Malego was thinking, he heard Edward announce in a very high voice:
"No.1, Cambridge University, proposed eleven proofs, all correct!!!"
(End of this chapter)
446 chapter
"Then let's hand in these nine." The student in charge of recording flipped through the recorded proof process and said to the two.
"Well, nine is definitely enough. If you can't get the first place like this, let alone squeezed in a tent for one night, I will be convinced even if it is [-] in the cold outside." Another person nodded and said.
"Cheng Nuo, what do you think?" The two reached a consensus, but they still left the final decision to Cheng Nuo.
Cheng Nuo pondered for a few seconds, "There is still enough time, let's add a few more, I always think nine is not safe."
Seeing that the two were about to speak, Cheng Nuo rushed forward and continued, "Although the proof method of the new direction is gone, it is not difficult if it is just a deformation of the Eurician proof method."
The two looked overjoyed at the same time.
Although in their view, the nine proofs are enough to crush other schools, but if there are more, they have no reason to refuse.
No one can have too much!
With the last 5 minutes left in half an hour, Cheng Nuo saw that many students in the school had begun their final struggle.
Cheng Nuo didn't know how many proof methods they had come up with. Based on the idea that a lion can beat a rabbit with all his strength, Cheng Nuo didn't plan to hold back anything.
"There are many variants of Euric's proof method, but they all remain the same. The rest are just multiplication of a series of integers and then some addition and subtraction proofs. I will briefly mention two."
"Assume that there are only a finite number of prime numbers p1, . Prime numbers, one of which 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 it is also the difference between the two—that is, 1 , but this is impossible, so there are infinitely many prime numbers.”
"The other one is even simpler. The prime factor of n!+ 1 must be greater than n. Otherwise, the remainder 1 after division by n!+ 1 cannot be a prime factor. Since n is arbitrary, no matter how many prime numbers have been found, the Larger ones can be found, so there are infinitely many prime numbers.”
As Cheng Nuo said, the classmate wrote it down on the paper.
After memorizing it, I checked it back and forth several times from beginning to end, and found that it was correct, and the time of three to ten minutes just passed.
Mr. Edward got out of a tent with his hands behind his back, "It's time, you each send a representative to give me the proof method you have explored, and I will judge whether the method is correct or not, and list the rankings according to the quantity. Quantity The same quality is preferred."
"Remember, don't forget to write the name of your school. I'll need a while, you start the campfire dinner first, fill your stomachs, and I will announce the results after the dinner is over."
After collecting the answer sheets from fifteen schools, Edward hurried back to the tent with his neck locked and his teeth chattering.
After a few seconds of silence around the campfire, the young people took out food and started dinner.
The atmosphere of the campfire dinner should be happy and noisy, but at this time it seems dead.All of them looked worried, with anticipation and nervousness in their hearts.
That kind of mood is no different from when I was waiting for the results to be announced in middle school.
Eating food that is obviously delicious, but it tastes like chewing wax.From time to time, his eyes looked at the tent where Mr. Edward was.
Of course, there is one school that is an exception.
Cheng Nuo was sitting on the grass, hugging a big fat goose, gnawing on it with greasiness in his hands.
The other two also ate with gusto, without any worries on their faces like the others.
"Cheng Nuo, this is Harmon ham, our local specialty, try it!"
"This is the prime steak. It's already fried. Cheng Nuo, try it too."
As the "number one hero", the two kept showing courtesy to Cheng Nuo.
While eating, Cheng Nuo listened attentively to other people's discussions.
"Hey, Hank, how's your school doing, and come up with some proofs?"
"Not many, not many, there are only five, it's probably a bit of a surprise to be in the top three!"
"Hanging fart, I asked around just now, and the most are just like you, five, and most of them are three or four. I don't know if the four in our school can win by virtue of quality. Anyway , anyway, you are stable."
"It's not guaranteed. If I make a mistake, I can only make a fool of myself, brother."
Although he said so in the words, there was no thought or worry on his face.
Knowing that most schools only come up with four or five proof methods, their school is basically guaranteed to be in the top three.
"Hey, Denton, what's the situation in your Cambridge University? The three of us worked hard to come up with six methods. This time, your Cambridge is probably going to lose." The speaker was a student from Oxford University, who came to Cambridge The three of them laughed and said.
Denton, the student in charge of recording, just smiled slightly, "No. We won't lose."
"Oh, who gave you such confidence? Could it be you, Huaguo student? Although I have to admit that he did perform well in the first round of the competition, it was just a Rubik's Cube after all. There are some of us A lot of Rubik's Cube novices let him, a Rubik's Cube veteran, take advantage."
"But it's different this time. This is a purely mathematical problem, and it's not something that can be won by chance. I'm looking forward to it now, looking forward to the day when he will reveal his true colors." The man laughed.
"Malegor, you..." Denton was about to stand up and argue with Malago.
Cheng Nuo smiled and said, "Senior Denton, forget it, Mr. Edward has come out."
Sure enough, Mr. Edward came out of the tent with a piece of paper in his hand.
He took a breath and drove away the cold on his hands. Mr. Edward looked around the crowd, "The result has come out."
"I'm quite satisfied with the answers you submitted. You are worthy of being the pride of the two countries. Even the worst team proved three proofs within half an hour."
The faces of those schools that only handed in three proof methods, but still took chances, turned pale.
Seeing Mr. Edward say this, it means that they have no chance of winning at all.
"I won't say too many extra words. You must have been looking forward to the result for a long time, so I will announce the ranking directly."
Edward announced directly from No.4, "No.4, Imperial College of Technology, proposed five proofs! All correct!"
"No.3, Oxford University, proposed six proofs, but one of them was wrong!"
Cheng Nuo saw that the Oxford student named Malago froze.
Although No.3 was considered to have won, their goal was obviously to go to the first place, and they only got third place, so it's not uncomfortable.
"No. 2, University of Bonn, proposed six proofs, all of which are correct!"
Malego glanced at the three people at Cambridge University, and suddenly he felt better again.
Although I was not very happy to get the third place, but seeing that Cambridge University could not even rank in the top four, the depression was swept away.
While Malego was thinking, he heard Edward announce in a very high voice:
"No.1, Cambridge University, proposed eleven proofs, all correct!!!"
(End of this chapter)
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