At 8:30 in the morning, the seats in the lecture theater were almost full.
Thinking back to what he discovered in the library last time, Lu Zhou frowned as he stared at the calculations on the blackboard. He felt like he had discovered something, but always at the moment when he was about to catch it, he let it slip through his fingers. slip…
Lu Zhou automatically blocked out external interference and focused on the lecture itself.
At this time, she was suddenly stunned when she saw Lu Zhou next to her.
"According to the proof method left by Mr. Zhang, as of now, Mr. Zhang's k＞=3.5*10^6 has been reduced to k＞=50. In other words, the number 70 million has been reduced to 246. The remaining The work needs to be completed by those who come after us.”
Fortunately, Professor Ren had just finished his opening remarks, and he did not miss a lot of content.
Lu Zhou found a seat in the back row and sat down quietly.
After taking a few more glances, she asked in a low voice: "Classmate, are you Lu Zhou?"
For example, Lu Zhou.
For example, Lu Zhou.
By 8:50, the lecture theater was packed, and some people brought stools from the classroom next door to sit on the aisle and listen to the lecture.
Looking at the increasing number of formulas on the blackboard, the students who could understand them before were instantly confused.
[Define theta(n)=lnn, if n is a prime number; define theta(n)=0, if n is a composite number. Take the function lambda(n)=… and define S1(x)=… S2(x)=…]
Lu Zhou was stunned for a moment and nodded: "Yes."
[…]
Not only people from our own school, but also people from several neighboring colleges came over to take classes.
Damn, are you asking yourself to be an astronaut
The people from the student union took the list to the first row and started counting the sign-ins.
How can this be done
"Yes...what's the matter?"
"Haha, young man, we meet again."
not bad
After Lu Zhou signed in, he couldn't wait to rush to the library, but he was stopped by the freshman girl sitting next to him.
It can be seen that Professor Ren Changming is indeed quite popular.
It can be seen that Professor Ren Changming is indeed quite popular.
"Haha, young man, we meet again."
"Senior, senior, wait a minute, um, can you add your button?"
Lu Zhou could follow the previous professor's thinking.
At this time, she was suddenly stunned when she saw Lu Zhou next to her.
At 9:00, the lecture officially started. Looking at the old gentleman on the podium, Lu Zhou looked more and more familiar, and he always felt that he had met him once before. But it was too far away, and he might have changed clothes, so he really couldn't remember where he had seen him before.
However, the content of the second half of the lecture was far less nutritious than the content of the first half, so much so that Lu Zhou didn't even listen carefully. At this moment, his mind was still focused on the proof of the twin prime conjecture.
Lu Zhou: "..."
Judging from the smile on the old gentleman's face, he should have been waiting for him at the door of the lecture theater for a while.
Having said this, Professor Ren pushed up his glasses and wrote Mr. Zhang's proof process on the blackboard.
This person is none other than Professor Ren who gave the lecture just now.
It seems that I have seen it somewhere...
Not only people from our own school, but also people from several neighboring colleges came over to take classes.
How can this be done
The PPT started to show, and the freshman girl sitting next to her finally stopped chatting with her roommate on the other side and reached into her bag to get her notes and pen.
The PPT started to show, and the freshman girl sitting next to her finally stopped chatting with her roommate on the other side and reached into her bag to get her notes and pen.
“I’m looking forward to that day!”
Lu Zhou smiled awkwardly: "Well, Professor, I don't want to go to heaven yet."
"According to the proof method left by Mr. Zhang, as of now, Mr. Zhang's k＞=3.5*10^6 has been reduced to k＞=50. In other words, the number 70 million has been reduced to 246. The remaining The work needs to be completed by those who come after us.”
"According to the proof method left by Mr. Zhang, as of now, Mr. Zhang's k＞=3.5*10^6 has been reduced to k＞=50. In other words, the number 70 million has been reduced to 246. The remaining The work needs to be completed by those who come after us.”
Fortunately, Professor Ren had just finished his opening remarks, and he did not miss a lot of content.
Having said this, Professor Ren wrote a line of numbers on the blackboard.
At 8:30 in the morning, the seats in the lecture theater were almost full.
At this time, she was suddenly stunned when she saw Lu Zhou next to her.
Looking back, he smiled and continued.
The people from the student union took the list to the first row and started counting the sign-ins.
Having said this, Professor Ren pushed up his glasses and wrote Mr. Zhang's proof process on the blackboard.
"Haha, young man, we meet again."
After taking a few more glances, she asked in a low voice: "Classmate, are you Lu Zhou?"
It can be seen that Professor Ren Changming is indeed quite popular.
Lu Zhou smiled awkwardly: "Well, Professor, I don't want to go to heaven yet."
Judging from the smile on the old gentleman's face, he should have been waiting for him at the door of the lecture theater for a while.
However, the content of the second half of the lecture was far less nutritious than the content of the first half, so much so that Lu Zhou didn't even listen carefully. At this moment, his mind was still focused on the proof of the twin prime conjecture.
Not wanting to waste time, Lu Zhou casually wrote a string of numbers on the piece of paper she handed him, and then quickly walked away without giving her a chance to continue speaking under the dumbfounded gaze of the school girl.
The audience applauded enthusiastically.
Having said this, Professor Ren pushed up his glasses and wrote Mr. Zhang's proof process on the blackboard.
"Senior, senior, wait a minute, um, can you add your button?"
Lu Zhou was stunned for a moment and nodded: "Yes."
Professor Ren talked from the twin prime conjecture to Goldbach's conjecture, and then from Goldbach's conjecture to the current development of domestic number theory, as well as some relatively cutting-edge research results.
Damn, are you asking yourself to be an astronaut
For example, the elementary school girl sitting next to Lu Zhou looked like "Who am I?" "Where am I?" "What am I dictating?" It's like I missed just a second, but I feel like I missed the whole world...
"No, it's nothing." The elementary school girl quickly shook her head.
not bad
Lu Zhou: "..."
For example, Lu Zhou.
The girl's eyes lit up and she asked in a low voice with a slightly excited tone: "You... are you Lu Zhou from the first class of the first and third classes?"
The girl's eyes lit up and she asked in a low voice with a slightly excited tone: "You... are you Lu Zhou from the first class of the first and third classes?"
He can explain some obscure things in a way that even beginners can listen to them with gusto.
Of course, many people still understood it, with thoughtful expressions on their faces.
The girl's eyes lit up and she asked in a low voice with a slightly excited tone: "You... are you Lu Zhou from the first class of the first and third classes?"
Lu Zhou sighed in his heart.
Bang bang bang!
Lu Zhou found a seat in the back row and sat down quietly.
Having said this, Professor Ren pushed up his glasses and wrote Mr. Zhang's proof process on the blackboard.
"Yes...what's the matter?"
For example, the elementary school girl sitting next to Lu Zhou looked like "Who am I?" "Where am I?" "What am I dictating?" It's like I missed just a second, but I feel like I missed the whole world...
Professor Ren talked from the twin prime conjecture to Goldbach's conjecture, and then from Goldbach's conjecture to the current development of domestic number theory, as well as some relatively cutting-edge research results.
However, the content of the second half of the lecture was far less nutritious than the content of the first half, so much so that Lu Zhou didn't even listen carefully. At this moment, his mind was still focused on the proof of the twin prime conjecture.
Feel…
Thunderous applause.
So far, Professor Ren has only talked about superficial knowledge. Even Lu Zhou, who has not done in-depth research on the problem of twin prime numbers, can easily follow it.
"No, it's nothing." The elementary school girl quickly shook her head.
[Verify S2-(log3x)S>0...]
It can be seen that Professor Ren Changming is indeed quite popular.
“I’m looking forward to that day!”
Before Lu Zhou could react, Mr. Ren continued to speak.
“…”
"Young man, are you interested in developing your career with the Rockets?"
At 9:00, the lecture officially started. Looking at the old gentleman on the podium, Lu Zhou looked more and more familiar, and he always felt that he had met him once before. But it was too far away, and he might have changed clothes, so he really couldn't remember where he had seen him before.
It's okay. What did you ask me to do
It's okay. What did you ask me to do
Fortunately, Professor Ren had just finished his opening remarks, and he did not miss a lot of content.
Lu Zhou smiled awkwardly: "Well, Professor, I don't want to go to heaven yet."
At 9:00, the lecture officially started. Looking at the old gentleman on the podium, Lu Zhou looked more and more familiar, and he always felt that he had met him once before. But it was too far away, and he might have changed clothes, so he really couldn't remember where he had seen him before.
However, as soon as he went out, he was stopped by someone again.
Lu Zhou was speechless, opened his notebook, and started taking notes.
Feel…
[Define theta(n)=lnn, if n is a prime number; define theta(n)=0, if n is a composite number. Take the function lambda(n)=… and define S1(x)=… S2(x)=…]
“…”
The girl's eyes lit up and she asked in a low voice with a slightly excited tone: "You... are you Lu Zhou from the first class of the first and third classes?"
“…”
“…”
Bang bang bang!
not bad
"Senior, senior, wait a minute, um, can you add your button?"
It can be seen that Professor Ren Changming is indeed quite popular.
Of course, many people still understood it, with thoughtful expressions on their faces.
"According to the proof method left by Mr. Zhang, as of now, Mr. Zhang's k＞=3.5*10^6 has been reduced to k＞=50. In other words, the number 70 million has been reduced to 246. The remaining The work needs to be completed by those who come after us.”
Before Lu Zhou could react, Mr. Ren continued to speak.
Bang bang bang!
Lu Zhou: "..."
Of course, many people still understood it, with thoughtful expressions on their faces.
After Lu Zhou signed in, he couldn't wait to rush to the library, but he was stopped by the freshman girl sitting next to him.
“…”
Lu Zhou was speechless, opened his notebook, and started taking notes.
I don't know if it was his imagination, but he always felt that the two freshmen and elementary school girls next to him were secretly looking at him, whispering to each other excitedly, pointing and talking in low voices.
Lu Zhou smiled awkwardly: "Well, Professor, I don't want to go to heaven yet."
“…”
Judging from the smile on the old gentleman's face, he should have been waiting for him at the door of the lecture theater for a while.
Lu Zhou sighed in his heart.
Lu Zhou could follow the previous professor's thinking.
Not only people from our own school, but also people from several neighboring colleges came over to take classes.
"Senior, senior, wait a minute, um, can you add your button?"
Judging from the smile on the old gentleman's face, he should have been waiting for him at the door of the lecture theater for a while.
"According to the proof method left by Mr. Zhang, as of now, Mr. Zhang's k＞=3.5*10^6 has been reduced to k＞=50. In other words, the number 70 million has been reduced to 246. The remaining The work needs to be completed by those who come after us.”
"... The twin prime conjecture has always been a difficult problem that has plagued the mathematical community. However, just last year, there was a breakthrough in the research on this issue." Professor Ren smiled, turned to the next page of the PPT, and continued, "Mr. Zhang Yitang, a Chinese mathematician, proved a weakened form of twin prime numbers and discovered that there are infinite pairs of prime numbers with a difference of less than 70 million, thereby achieving a breakthrough from scratch on the important issue of the twin prime number conjecture. "
Is this the trouble with being a celebrity
Lu Zhou sighed in his heart.
At 8:30 in the morning, the seats in the lecture theater were almost full.
Feel…
Before Lu Zhou could react, Mr. Ren continued to speak.
Lu Zhou sighed in his heart.
The audience applauded enthusiastically.
Looking at the increasing number of formulas on the blackboard, the students who could understand them before were instantly confused.
“…”
Not only people from our own school, but also people from several neighboring colleges came over to take classes.
not bad
Of course, many people still understood it, with thoughtful expressions on their faces.
Lu Zhou smiled awkwardly: "Well, Professor, I don't want to go to heaven yet."
The twin prime conjecture is just an introduction. This semi-popular science lecture is not an academic lecture. The focus is still on stimulating students' enthusiasm for mathematics.
Fortunately, they didn't discuss it for too long, and the topic soon went to other places.
Lu Zhou could follow the previous professor's thinking.
Having said this, Professor Ren smiled and threw the chalk on the desk. "Perhaps, the great person who completed this historic work will appear among everyone here."
The lecture ended quickly.
Fortunately, they didn't discuss it for too long, and the topic soon went to other places.
"Haha, young man, we meet again."
Not wanting to waste time, Lu Zhou casually wrote a string of numbers on the piece of paper she handed him, and then quickly walked away without giving her a chance to continue speaking under the dumbfounded gaze of the school girl.
Lu Zhou automatically blocked out external interference and focused on the lecture itself.
By 8:50, the lecture theater was packed, and some people brought stools from the classroom next door to sit on the aisle and listen to the lecture.
I don't know if it was his imagination, but he always felt that the two freshmen and elementary school girls next to him were secretly looking at him, whispering to each other excitedly, pointing and talking in low voices.
Lu Zhou automatically blocked out external interference and focused on the lecture itself.
Lu Zhou:? ?
Fortunately, they didn't discuss it for too long, and the topic soon went to other places.
For example, Lu Zhou.
Looking at the increasing number of formulas on the blackboard, the students who could understand them before were instantly confused.
"... The twin prime conjecture has always been a difficult problem that has plagued the mathematical community. However, just last year, there was a breakthrough in the research on this issue." Professor Ren smiled, turned to the next page of the PPT, and continued, "Mr. Zhang Yitang, a Chinese mathematician, proved a weakened form of twin prime numbers and discovered that there are infinite pairs of prime numbers with a difference of less than 70 million, thereby achieving a breakthrough from scratch on the important issue of the twin prime number conjecture. "
[Define theta(n)=lnn, if n is a prime number; define theta(n)=0, if n is a composite number. Take the function lambda(n)=… and define S1(x)=… S2(x)=…]
Fortunately, Professor Ren had just finished his opening remarks, and he did not miss a lot of content.
The twin prime conjecture is just an introduction. This semi-popular science lecture is not an academic lecture. The focus is still on stimulating students' enthusiasm for mathematics.
Not wanting to waste time, Lu Zhou casually wrote a string of numbers on the piece of paper she handed him, and then quickly walked away without giving her a chance to continue speaking under the dumbfounded gaze of the school girl.
"... We all know that prime numbers are natural numbers with only two factors. You may have memorized the first hundred prime number tables when you were in junior high school. Twin prime numbers refer to pairs of prime numbers with a difference of 2, that is, p and p+2 are both pairs of prime numbers. For example, 3 and 5, 5 and 7, 11 and 13, 17 and 19, etc. As the number becomes larger, fewer and fewer pairs of twin prime numbers can be observed."
He can explain some obscure things in a way that even beginners can listen to them with gusto.
Professor Ren talked from the twin prime conjecture to Goldbach's conjecture, and then from Goldbach's conjecture to the current development of domestic number theory, as well as some relatively cutting-edge research results.
By 8:50, the lecture theater was packed, and some people brought stools from the classroom next door to sit on the aisle and listen to the lecture.
"Haha, young man, we meet again."
"There are 8 pairs of twin prime numbers within 100, but in the range from 501 to 600, there are only 2 pairs. As the prime number increases, the next prime number should be farther and farther away from the previous prime number, but it is as famous as Goldbach's conjecture. An important conjecture asserts that there are infinite pairs of prime numbers that only differ by 2, such as 3 and 5, 5 and 7, and even this... "
However, the content of the second half of the lecture was far less nutritious than the content of the first half, so much so that Lu Zhou didn't even listen carefully. At this moment, his mind was still focused on the proof of the twin prime conjecture.
Before Lu Zhou could react, Mr. Ren continued to speak.
At this time, she was suddenly stunned when she saw Lu Zhou next to her.
Lu Zhou smiled awkwardly: "Well, Professor, I don't want to go to heaven yet."
The audience applauded enthusiastically.
For example, the elementary school girl sitting next to Lu Zhou looked like "Who am I?" "Where am I?" "What am I dictating?" It's like I missed just a second, but I feel like I missed the whole world...
“I’m looking forward to that day!”
Having said this, Professor Ren wrote a line of numbers on the blackboard.
I don't know if it was his imagination, but he always felt that the two freshmen and elementary school girls next to him were secretly looking at him, whispering to each other excitedly, pointing and talking in low voices.
"There are infinitely many prime numbers with a difference of 2. This is the famous twin prime number conjecture."
Lu Zhou was speechless, opened his notebook, and started taking notes.
Lu Zhou sighed in his heart.
"... We all know that prime numbers are natural numbers with only two factors. You may have memorized the first hundred prime number tables when you were in junior high school. Twin prime numbers refer to pairs of prime numbers with a difference of 2, that is, p and p+2 are both pairs of prime numbers. For example, 3 and 5, 5 and 7, 11 and 13, 17 and 19, etc. As the number becomes larger, fewer and fewer pairs of twin prime numbers can be observed."
[2003663613×2195000-1 and 2003663613×2195000+1]
"There are infinitely many prime numbers with a difference of 2. This is the famous twin prime number conjecture."
[2003663613×2195000-1 and 2003663613×2195000+1]
Thinking back to what he discovered in the library last time, Lu Zhou frowned as he stared at the calculations on the blackboard. He felt like he had discovered something, but always at the moment when he was about to catch it, he let it slip through his fingers. slip…
Looking back, he smiled and continued.
Thunderous applause.
Looking back, he smiled and continued.
Have we met
“…”
Having said this, Professor Ren smiled and threw the chalk on the desk. "Perhaps, the great person who completed this historic work will appear among everyone here."
"Haha, young man, we meet again."
It's okay. What did you ask me to do
The lecture ended quickly.
"There are infinitely many prime numbers with a difference of 2. This is the famous twin prime number conjecture."
It's okay. What did you ask me to do
Have we met
The girl's eyes lit up and she asked in a low voice with a slightly excited tone: "You... are you Lu Zhou from the first class of the first and third classes?"
Looking back, he smiled and continued.
Damn, are you asking yourself to be an astronaut
Lu Zhou sighed in his heart.
"Yes...what's the matter?"
Lu Zhou, who had just been thinking about the problem of twin prime numbers, was startled by this sudden question.
So far, Professor Ren has only talked about superficial knowledge. Even Lu Zhou, who has not done in-depth research on the problem of twin prime numbers, can easily follow it.
Lu Zhou sighed in his heart.
However, the content of the second half of the lecture was far less nutritious than the content of the first half, so much so that Lu Zhou didn't even listen carefully. At this moment, his mind was still focused on the proof of the twin prime conjecture.
Thunderous applause.
Before Lu Zhou could react, Mr. Ren continued to speak.
The lecture ended quickly.
At 8:30 in the morning, the seats in the lecture theater were almost full.
The same goes for other freshmen, whether they are mathematics majors or non-mathematics amateurs, they all listened carefully with interest.
At 9:00, the lecture officially started. Looking at the old gentleman on the podium, Lu Zhou looked more and more familiar, and he always felt that he had met him once before. But it was too far away, and he might have changed clothes, so he really couldn't remember where he had seen him before.
[Verify S2-(log3x)S>0...]
Thunderous applause.
"There are 8 pairs of twin prime numbers within 100, but in the range from 501 to 600, there are only 2 pairs. As the prime number increases, the next prime number should be farther and farther away from the previous prime number, but it is as famous as Goldbach's conjecture. An important conjecture asserts that there are infinite pairs of prime numbers that only differ by 2, such as 3 and 5, 5 and 7, and even this... "
Lu Zhou:? ?
“…”
[Define theta(n)=lnn, if n is a prime number; define theta(n)=0, if n is a composite number. Take the function lambda(n)=… and define S1(x)=… S2(x)=…]
But soon, the content of the lecture began to deepen.
Lu Zhou automatically blocked out external interference and focused on the lecture itself.
The same goes for other freshmen, whether they are mathematics majors or non-mathematics amateurs, they all listened carefully with interest.
This person is none other than Professor Ren who gave the lecture just now.
Lu Zhou: "..."
To put it simply, Mr. Zhang cleverly selected a lambda function and successfully proved that for k＞=3.5*10^6, the conclusion S2-(log3x)S1＞0 is true.
Have we met
Thinking back to what he discovered in the library last time, Lu Zhou frowned as he stared at the calculations on the blackboard. He felt like he had discovered something, but always at the moment when he was about to catch it, he let it slip through his fingers. slip…
"... The twin prime conjecture has always been a difficult problem that has plagued the mathematical community. However, just last year, there was a breakthrough in the research on this issue." Professor Ren smiled, turned to the next page of the PPT, and continued, "Mr. Zhang Yitang, a Chinese mathematician, proved a weakened form of twin prime numbers and discovered that there are infinite pairs of prime numbers with a difference of less than 70 million, thereby achieving a breakthrough from scratch on the important issue of the twin prime number conjecture. "
Damn, are you asking yourself to be an astronaut
In this way, listing the first 3.5*10^6 prime numbers as an acceptable set can further prove that there are infinite pairs of prime numbers with a difference of less than 70 million.
Having said this, Professor Ren pushed up his glasses and wrote Mr. Zhang's proof process on the blackboard.
Before Lu Zhou could react, Mr. Ren continued to speak.
"Senior, senior, wait a minute, um, can you add your button?"
[Verify S2-(log3x)S>0...]
Judging from the smile on the old gentleman's face, he should have been waiting for him at the door of the lecture theater for a while.
It can be seen that Professor Ren Changming is indeed quite popular.
Having said this, Professor Ren wrote a line of numbers on the blackboard.
Not wanting to waste time, Lu Zhou casually wrote a string of numbers on the piece of paper she handed him, and then quickly walked away without giving her a chance to continue speaking under the dumbfounded gaze of the school girl.
[Define theta(n)=lnn, if n is a prime number; define theta(n)=0, if n is a composite number. Take the function lambda(n)=… and define S1(x)=… S2(x)=…]
Feel…
Lu Zhou automatically blocked out external interference and focused on the lecture itself.
[Verify S2-(log3x)S>0...]
Lu Zhou, who had just been thinking about the problem of twin prime numbers, was startled by this sudden question.
Damn, are you asking yourself to be an astronaut
Of course, many people still understood it, with thoughtful expressions on their faces.
[…]
[Define theta(n)=lnn, if n is a prime number; define theta(n)=0, if n is a composite number. Take the function lambda(n)=… and define S1(x)=… S2(x)=…]
Damn, are you asking yourself to be an astronaut
The lecture ended quickly.
To put it simply, Mr. Zhang cleverly selected a lambda function and successfully proved that for k＞=3.5*10^6, the conclusion S2-(log3x)S1＞0 is true.
Having said this, Professor Ren pushed up his glasses and wrote Mr. Zhang's proof process on the blackboard.
"There are 8 pairs of twin prime numbers within 100, but in the range from 501 to 600, there are only 2 pairs. As the prime number increases, the next prime number should be farther and farther away from the previous prime number, but it is as famous as Goldbach's conjecture. An important conjecture asserts that there are infinite pairs of prime numbers that only differ by 2, such as 3 and 5, 5 and 7, and even this... "
"... We all know that prime numbers are natural numbers with only two factors. You may have memorized the first hundred prime number tables when you were in junior high school. Twin prime numbers refer to pairs of prime numbers with a difference of 2, that is, p and p+2 are both pairs of prime numbers. For example, 3 and 5, 5 and 7, 11 and 13, 17 and 19, etc. As the number becomes larger, fewer and fewer pairs of twin prime numbers can be observed."
Looking at the increasing number of formulas on the blackboard, the students who could understand them before were instantly confused.
So far, Professor Ren has only talked about superficial knowledge. Even Lu Zhou, who has not done in-depth research on the problem of twin prime numbers, can easily follow it.
[Verify S2-(log3x)S>0...]
Bang bang bang!
Lu Zhou sighed in his heart.
"There are infinitely many prime numbers with a difference of 2. This is the famous twin prime number conjecture."
For example, the elementary school girl sitting next to Lu Zhou looked like "Who am I?" "Where am I?" "What am I dictating?" It's like I missed just a second, but I feel like I missed the whole world...
The twin prime conjecture is just an introduction. This semi-popular science lecture is not an academic lecture. The focus is still on stimulating students' enthusiasm for mathematics.
However, as soon as he went out, he was stopped by someone again.
Bang bang bang!
He can explain some obscure things in a way that even beginners can listen to them with gusto.
Lu Zhou sighed in his heart.
Regardless of whether you understand or not, just clap along at this time!
I don't know if it was his imagination, but he always felt that the two freshmen and elementary school girls next to him were secretly looking at him, whispering to each other excitedly, pointing and talking in low voices.
Bang bang bang!
Lu Zhou could follow the previous professor's thinking.
Having said this, Professor Ren smiled and threw the chalk on the desk. "Perhaps, the great person who completed this historic work will appear among everyone here."
The lecture ended quickly.
Damn, are you asking yourself to be an astronaut
Fortunately, Professor Ren had just finished his opening remarks, and he did not miss a lot of content.
Damn, are you asking yourself to be an astronaut
Lu Zhou found a seat in the back row and sat down quietly.
[…]
To put it simply, Mr. Zhang cleverly selected a lambda function and successfully proved that for k＞=3.5*10^6, the conclusion S2-(log3x)S1＞0 is true.
At this time, she was suddenly stunned when she saw Lu Zhou next to her.
At this time, she was suddenly stunned when she saw Lu Zhou next to her.
In this way, listing the first 3.5*10^6 prime numbers as an acceptable set can further prove that there are infinite pairs of prime numbers with a difference of less than 70 million.
"Young man, are you interested in developing your career with the Rockets?"
After taking a few more glances, she asked in a low voice: "Classmate, are you Lu Zhou?"
“I’m looking forward to that day!”
Not only people from our own school, but also people from several neighboring colleges came over to take classes.
Lu Zhou sighed in his heart.
By 8:50, the lecture theater was packed, and some people brought stools from the classroom next door to sit on the aisle and listen to the lecture.
"According to the proof method left by Mr. Zhang, as of now, Mr. Zhang's k＞=3.5*10^6 has been reduced to k＞=50. In other words, the number 70 million has been reduced to 246. The remaining The work needs to be completed by those who come after us.”
Not only people from our own school, but also people from several neighboring colleges came over to take classes.
Feel…
Lu Zhou sighed in his heart.
To put it simply, Mr. Zhang cleverly selected a lambda function and successfully proved that for k＞=3.5*10^6, the conclusion S2-(log3x)S1＞0 is true.
How can this be done
Having said this, Professor Ren smiled and threw the chalk on the desk. "Perhaps, the great person who completed this historic work will appear among everyone here."
The lecture ended quickly.
At 8:30 in the morning, the seats in the lecture theater were almost full.
[Verify S2-(log3x)S>0...]
Looking at the increasing number of formulas on the blackboard, the students who could understand them before were instantly confused.
Thinking back to what he discovered in the library last time, Lu Zhou frowned as he stared at the calculations on the blackboard. He felt like he had discovered something, but always at the moment when he was about to catch it, he let it slip through his fingers. slip…
[Define theta(n)=lnn, if n is a prime number; define theta(n)=0, if n is a composite number. Take the function lambda(n)=… and define S1(x)=… S2(x)=…]
The twin prime conjecture is just an introduction. This semi-popular science lecture is not an academic lecture. The focus is still on stimulating students' enthusiasm for mathematics.
How can this be done
“I’m looking forward to that day!”
"... The twin prime conjecture has always been a difficult problem that has plagued the mathematical community. However, just last year, there was a breakthrough in the research on this issue." Professor Ren smiled, turned to the next page of the PPT, and continued, "Mr. Zhang Yitang, a Chinese mathematician, proved a weakened form of twin prime numbers and discovered that there are infinite pairs of prime numbers with a difference of less than 70 million, thereby achieving a breakthrough from scratch on the important issue of the twin prime number conjecture. "
To put it simply, Mr. Zhang cleverly selected a lambda function and successfully proved that for k＞=3.5*10^6, the conclusion S2-(log3x)S1＞0 is true.
Judging from the smile on the old gentleman's face, he should have been waiting for him at the door of the lecture theater for a while.
Fortunately, they didn't discuss it for too long, and the topic soon went to other places.
Lu Zhou: "..."
Lu Zhou:? ?
In this way, listing the first 3.5*10^6 prime numbers as an acceptable set can further prove that there are infinite pairs of prime numbers with a difference of less than 70 million.
Bang bang bang!
Bang bang bang!
"... The twin prime conjecture has always been a difficult problem that has plagued the mathematical community. However, just last year, there was a breakthrough in the research on this issue." Professor Ren smiled, turned to the next page of the PPT, and continued, "Mr. Zhang Yitang, a Chinese mathematician, proved a weakened form of twin prime numbers and discovered that there are infinite pairs of prime numbers with a difference of less than 70 million, thereby achieving a breakthrough from scratch on the important issue of the twin prime number conjecture. "
For example, Lu Zhou.
Damn, are you asking yourself to be an astronaut
After Lu Zhou signed in, he couldn't wait to rush to the library, but he was stopped by the freshman girl sitting next to him.
"Young man, are you interested in developing your career with the Rockets?"
Thinking back to what he discovered in the library last time, Lu Zhou frowned as he stared at the calculations on the blackboard. He felt like he had discovered something, but always at the moment when he was about to catch it, he let it slip through his fingers. slip…
Thunderous applause.
Looking back, he smiled and continued.
Looking at the increasing number of formulas on the blackboard, the students who could understand them before were instantly confused.
The audience applauded enthusiastically.
The audience applauded enthusiastically.
Lu Zhou:? ?
Regardless of whether you understand or not, just clap along at this time!
"... We all know that prime numbers are natural numbers with only two factors. You may have memorized the first hundred prime number tables when you were in junior high school. Twin prime numbers refer to pairs of prime numbers with a difference of 2, that is, p and p+2 are both pairs of prime numbers. For example, 3 and 5, 5 and 7, 11 and 13, 17 and 19, etc. As the number becomes larger, fewer and fewer pairs of twin prime numbers can be observed."
The girl's eyes lit up and she asked in a low voice with a slightly excited tone: "You... are you Lu Zhou from the first class of the first and third classes?"
Of course, many people still understood it, with thoughtful expressions on their faces.
However, as soon as he went out, he was stopped by someone again.
Lu Zhou automatically blocked out external interference and focused on the lecture itself.
For example, Lu Zhou.
After Lu Zhou signed in, he couldn't wait to rush to the library, but he was stopped by the freshman girl sitting next to him.
Lu Zhou was stunned for a moment and nodded: "Yes."
Having said this, Professor Ren wrote a line of numbers on the blackboard.
Looking at the increasing number of formulas on the blackboard, the students who could understand them before were instantly confused.
[2003663613×2195000-1 and 2003663613×2195000+1]
The twin prime conjecture is just an introduction. This semi-popular science lecture is not an academic lecture. The focus is still on stimulating students' enthusiasm for mathematics.
The audience applauded enthusiastically.
For example, the elementary school girl sitting next to Lu Zhou looked like "Who am I?" "Where am I?" "What am I dictating?" It's like I missed just a second, but I feel like I missed the whole world...
This person is none other than Professor Ren who gave the lecture just now.
But soon, the content of the lecture began to deepen.
Professor Ren talked from the twin prime conjecture to Goldbach's conjecture, and then from Goldbach's conjecture to the current development of domestic number theory, as well as some relatively cutting-edge research results.
“…”
I have to say that this old professor does have some ink in his belly.
He can explain some obscure things in a way that even beginners can listen to them with gusto.
I have to say that this old professor does have some ink in his belly.
The same goes for other freshmen, whether they are mathematics majors or non-mathematics amateurs, they all listened carefully with interest.
It can be seen that Professor Ren Changming is indeed quite popular.
He can explain some obscure things in a way that even beginners can listen to them with gusto.
For example, the elementary school girl sitting next to Lu Zhou looked like "Who am I?" "Where am I?" "What am I dictating?" It's like I missed just a second, but I feel like I missed the whole world...
[2003663613×2195000-1 and 2003663613×2195000+1]
“I’m looking forward to that day!”
However, the content of the second half of the lecture was far less nutritious than the content of the first half, so much so that Lu Zhou didn't even listen carefully. At this moment, his mind was still focused on the proof of the twin prime conjecture.
"No, it's nothing." The elementary school girl quickly shook her head.
Lu Zhou:? ?
I have to say that this old professor does have some ink in his belly.
The audience applauded enthusiastically.
Lu Zhou could follow the previous professor's thinking.
Lu Zhou was stunned for a moment and nodded: "Yes."
For example, Lu Zhou.
[…]
Thinking back to what he discovered in the library last time, Lu Zhou frowned as he stared at the calculations on the blackboard. He felt like he had discovered something, but always at the moment when he was about to catch it, he let it slip through his fingers. slip…
Lu Zhou: "..."
Lu Zhou was speechless, opened his notebook, and started taking notes.
The lecture ended quickly.
After Lu Zhou signed in, he couldn't wait to rush to the library, but he was stopped by the freshman girl sitting next to him.
It can be seen that Professor Ren Changming is indeed quite popular.
"No, it's nothing." The elementary school girl quickly shook her head.
The people from the student union took the list to the first row and started counting the sign-ins.
"There are 8 pairs of twin prime numbers within 100, but in the range from 501 to 600, there are only 2 pairs. As the prime number increases, the next prime number should be farther and farther away from the previous prime number, but it is as famous as Goldbach's conjecture. An important conjecture asserts that there are infinite pairs of prime numbers that only differ by 2, such as 3 and 5, 5 and 7, and even this... "
Lu Zhou, who had just been thinking about the problem of twin prime numbers, was startled by this sudden question.
At 9:00, the lecture officially started. Looking at the old gentleman on the podium, Lu Zhou looked more and more familiar, and he always felt that he had met him once before. But it was too far away, and he might have changed clothes, so he really couldn't remember where he had seen him before.
Thunderous applause.
After Lu Zhou signed in, he couldn't wait to rush to the library, but he was stopped by the freshman girl sitting next to him.
The PPT started to show, and the freshman girl sitting next to her finally stopped chatting with her roommate on the other side and reached into her bag to get her notes and pen.
"... We all know that prime numbers are natural numbers with only two factors. You may have memorized the first hundred prime number tables when you were in junior high school. Twin prime numbers refer to pairs of prime numbers with a difference of 2, that is, p and p+2 are both pairs of prime numbers. For example, 3 and 5, 5 and 7, 11 and 13, 17 and 19, etc. As the number becomes larger, fewer and fewer pairs of twin prime numbers can be observed."
After taking a few more glances, she asked in a low voice: "Classmate, are you Lu Zhou?"
"Haha, young man, we meet again."
"Senior, senior, wait a minute, um, can you add your button?"
For example, the elementary school girl sitting next to Lu Zhou looked like "Who am I?" "Where am I?" "What am I dictating?" It's like I missed just a second, but I feel like I missed the whole world...
"Haha, young man, we meet again."
Not wanting to waste time, Lu Zhou casually wrote a string of numbers on the piece of paper she handed him, and then quickly walked away without giving her a chance to continue speaking under the dumbfounded gaze of the school girl.
I don't know if it was his imagination, but he always felt that the two freshmen and elementary school girls next to him were secretly looking at him, whispering to each other excitedly, pointing and talking in low voices.
For example, Lu Zhou.
However, as soon as he went out, he was stopped by someone again.
Bang bang bang!
The audience applauded enthusiastically.
“…”
Lu Zhou: "..."
[Verify S2-(log3x)S>0...]
Fortunately, they didn't discuss it for too long, and the topic soon went to other places.
This person is none other than Professor Ren who gave the lecture just now.
"Haha, young man, we meet again."
Having said this, Professor Ren wrote a line of numbers on the blackboard.
Judging from the smile on the old gentleman's face, he should have been waiting for him at the door of the lecture theater for a while.
So far, Professor Ren has only talked about superficial knowledge. Even Lu Zhou, who has not done in-depth research on the problem of twin prime numbers, can easily follow it.
Looking back, he smiled and continued.
At 9:00, the lecture officially started. Looking at the old gentleman on the podium, Lu Zhou looked more and more familiar, and he always felt that he had met him once before. But it was too far away, and he might have changed clothes, so he really couldn't remember where he had seen him before.
"Haha, young man, we meet again."
"Haha, young man, we meet again."
Lu Zhou found a seat in the back row and sat down quietly.
Looking at the increasing number of formulas on the blackboard, the students who could understand them before were instantly confused.
The same goes for other freshmen, whether they are mathematics majors or non-mathematics amateurs, they all listened carefully with interest.
Bang bang bang!
At 9:00, the lecture officially started. Looking at the old gentleman on the podium, Lu Zhou looked more and more familiar, and he always felt that he had met him once before. But it was too far away, and he might have changed clothes, so he really couldn't remember where he had seen him before.
This person is none other than Professor Ren who gave the lecture just now.
After Lu Zhou signed in, he couldn't wait to rush to the library, but he was stopped by the freshman girl sitting next to him.
Lu Zhou:? ?
Have we met
"Yes...what's the matter?"
In this way, listing the first 3.5*10^6 prime numbers as an acceptable set can further prove that there are infinite pairs of prime numbers with a difference of less than 70 million.
Is this the trouble with being a celebrity
Have we met
The twin prime conjecture is just an introduction. This semi-popular science lecture is not an academic lecture. The focus is still on stimulating students' enthusiasm for mathematics.
He can explain some obscure things in a way that even beginners can listen to them with gusto.
"There are 8 pairs of twin prime numbers within 100, but in the range from 501 to 600, there are only 2 pairs. As the prime number increases, the next prime number should be farther and farther away from the previous prime number, but it is as famous as Goldbach's conjecture. An important conjecture asserts that there are infinite pairs of prime numbers that only differ by 2, such as 3 and 5, 5 and 7, and even this... "
"There are 8 pairs of twin prime numbers within 100, but in the range from 501 to 600, there are only 2 pairs. As the prime number increases, the next prime number should be farther and farther away from the previous prime number, but it is as famous as Goldbach's conjecture. An important conjecture asserts that there are infinite pairs of prime numbers that only differ by 2, such as 3 and 5, 5 and 7, and even this... "
"... We all know that prime numbers are natural numbers with only two factors. You may have memorized the first hundred prime number tables when you were in junior high school. Twin prime numbers refer to pairs of prime numbers with a difference of 2, that is, p and p+2 are both pairs of prime numbers. For example, 3 and 5, 5 and 7, 11 and 13, 17 and 19, etc. As the number becomes larger, fewer and fewer pairs of twin prime numbers can be observed."
So far, Professor Ren has only talked about superficial knowledge. Even Lu Zhou, who has not done in-depth research on the problem of twin prime numbers, can easily follow it.
“I’m looking forward to that day!”
In this way, listing the first 3.5*10^6 prime numbers as an acceptable set can further prove that there are infinite pairs of prime numbers with a difference of less than 70 million.
It seems that I have seen it somewhere...
[Define theta(n)=lnn, if n is a prime number; define theta(n)=0, if n is a composite number. Take the function lambda(n)=… and define S1(x)=… S2(x)=…]
Thunderous applause.
“…”
Before Lu Zhou could react, Mr. Ren continued to speak.
"According to the proof method left by Mr. Zhang, as of now, Mr. Zhang's k＞=3.5*10^6 has been reduced to k＞=50. In other words, the number 70 million has been reduced to 246. The remaining The work needs to be completed by those who come after us.”
"No, it's nothing." The elementary school girl quickly shook her head.
How can this be done
Before Lu Zhou could react, Mr. Ren continued to speak.
"There are 8 pairs of twin prime numbers within 100, but in the range from 501 to 600, there are only 2 pairs. As the prime number increases, the next prime number should be farther and farther away from the previous prime number, but it is as famous as Goldbach's conjecture. An important conjecture asserts that there are infinite pairs of prime numbers that only differ by 2, such as 3 and 5, 5 and 7, and even this... "
Lu Zhou found a seat in the back row and sat down quietly.
I have to say that this old professor does have some ink in his belly.
"Young man, are you interested in developing your career with the Rockets?"
[2003663613×2195000-1 and 2003663613×2195000+1]
The same goes for other freshmen, whether they are mathematics majors or non-mathematics amateurs, they all listened carefully with interest.
Bang bang bang!
Lu Zhou smiled awkwardly: "Well, Professor, I don't want to go to heaven yet."
This person is none other than Professor Ren who gave the lecture just now.
Feel…
"According to the proof method left by Mr. Zhang, as of now, Mr. Zhang's k＞=3.5*10^6 has been reduced to k＞=50. In other words, the number 70 million has been reduced to 246. The remaining The work needs to be completed by those who come after us.”
Judging from the smile on the old gentleman's face, he should have been waiting for him at the door of the lecture theater for a while.
Lu Zhou, who had just been thinking about the problem of twin prime numbers, was startled by this sudden question.
The same goes for other freshmen, whether they are mathematics majors or non-mathematics amateurs, they all listened carefully with interest.
At this time, she was suddenly stunned when she saw Lu Zhou next to her.
Lu Zhou: "..."
[2003663613×2195000-1 and 2003663613×2195000+1]
The audience applauded enthusiastically.
“…”
Damn, are you asking yourself to be an astronaut
“…”
How can this be done
At 9:00, the lecture officially started. Looking at the old gentleman on the podium, Lu Zhou looked more and more familiar, and he always felt that he had met him once before. But it was too far away, and he might have changed clothes, so he really couldn't remember where he had seen him before.
How can this be done
By 8:50, the lecture theater was packed, and some people brought stools from the classroom next door to sit on the aisle and listen to the lecture.
“I’m looking forward to that day!”
This person is none other than Professor Ren who gave the lecture just now.
Thunderous applause.
The girl's eyes lit up and she asked in a low voice with a slightly excited tone: "You... are you Lu Zhou from the first class of the first and third classes?"
Lu Zhou: "..."
Before Lu Zhou could react, Mr. Ren continued to speak.
Lu Zhou smiled awkwardly: "Well, Professor, I don't want to go to heaven yet."
The girl's eyes lit up and she asked in a low voice with a slightly excited tone: "You... are you Lu Zhou from the first class of the first and third classes?"
“I’m looking forward to that day!”
Is this the trouble with being a celebrity
However, the content of the second half of the lecture was far less nutritious than the content of the first half, so much so that Lu Zhou didn't even listen carefully. At this moment, his mind was still focused on the proof of the twin prime conjecture.
Lu Zhou was stunned for a moment and nodded: "Yes."
In this way, listing the first 3.5*10^6 prime numbers as an acceptable set can further prove that there are infinite pairs of prime numbers with a difference of less than 70 million.