It was 8: 30 in the morning and the lecture hall was almost full.
Lu Zhou found a seat in the back row and sat down quietly.
At 8: 50, the lecture hall was full. Some people even brought chairs from the classroom next door and sat in the aisle to listen to the lecture.
It was not just the students from the school, even the students from the neighboring schools came to the lecture.
It could be seen that Professor Ren Changming was quite popular.
The lecture officially began. Lu Zhou looked at the old man on the podium and felt that he looked familiar. He felt like he had seen him before. However, he was too far away and he might have changed his clothes. He could not remember where he had seen him before.
The PowerPoint began to play and the girl sitting next to him finally stopped talking to her roommate. She reached into her bag and took out a pen and notes.
At this moment, she saw Lu Zhou next to her and was stunned.
She looked at him a few more times and whispered, "Student, are you Lu Zhou?"
Lu Zhou was stunned and nodded, "Yeah."
The girl's eyes lit up and she asked in a slightly excited tone, "You … Are you Lu Zhou from the third-year mathematics class?"
"Yes … What's up?"
The girl quickly shook her head and said, "No … Nothing."
Why did you call me if there's nothing!
Lu Zhou was speechless. He opened his notebook and began to take notes.
"…"
Lu Zhou: "…"
He did not know if it was an illusion but he felt that the two girls next to him were secretly looking at him. They were also excitedly whispering and pointing at him.
Lu Zhou sighed in his heart.
Is this the trouble of being a celebrity?
It feels …
Not bad?
Fortunately, they did not talk for too long. Soon, the topic went somewhere else.
Lu Zhou automatically blocked the interference from the outside world and focused on the lecture itself.
Coincidentally, Professor Ren had just finished his opening speech and he did not miss much.
"… We all know that prime numbers are natural numbers with only two factors. You might have memorized the top 100 prime numbers when you were in junior high school. Twin prime numbers refer to a pair of prime numbers with a difference of 2. That is, p and p + 2 are both prime numbers. For example, 3 and 5, 5 and 7, 11 and 13, 17 and 19, etc. As the number increases, the number of twin prime numbers that can be observed will decrease. "
"There are eight prime twin pairs within 100, and there are only two pairs between 501 and 600. As the number of primes increases, the next prime number should be farther and farther away from the previous prime number. However, another conjecture that is as famous and important as Goldbach's conjecture asserts that there are infinitely many pairs of primes that differ by only 2. For example, 3 and 5, 5 and 7, and even this … "
At this point, Professor Ren wrote a line of numbers on the blackboard.
[2003663613 × 2195000 -1 and 2003663613 × 2195000 + 1]
Turning around, he smiled and continued speaking.
"There are infinitely many prime numbers with a difference of 2. This is the famous twin prime conjecture."
So far, Professor Ren was only talking about superficial knowledge. Even Lu Zhou, who had not studied the twin prime conjecture, could easily follow.
The other freshmen were the same. Whether they were mathematics students or non-mathematics students, they all listened with interest.
However, soon, the content of the lecture began to deepen.
"… The twin prime conjecture has always been a difficult problem in the mathematics world. However, last year, there was a breakthrough in research on this problem. " Professor Ren smiled and flipped to the next page of the PowerPoint. He continued, "A Chinese mathematician, Mr. Zhang Yitang, proved a weakened form of twin prime numbers. He found that there are infinitely many prime numbers with a difference of less than 70 million. Thus, he achieved a breakthrough in the twin prime conjecture."
At this point, Professor Ren pushed up his glasses and wrote down Mr. Zhang's proof process on the blackboard.
[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) = …, define S1 (x) = …, S2 (x) = …]
[Verify S2? (log3x) S1 > 0 …]
[…]
Looking at the increasing number of formulas on the blackboard, the students who could understand before were instantly dumbfounded.
For example, the little girl sitting next to Lu Zhou had an expression of "Who am I?", "Where am I?", "What am I dictating?". It was like she had only missed one second, but she felt like she had missed the entire world …
Lu Zhou could follow Professor Ren's train of thought.
Simply put, Mr. Zhang cleverly chose a lambda function and successfully proved that the pair k > = 3.5 * 10 ^ 6. Conclusion S2? (log3x) S1 > 0 is established.
This way, by listing the first 3.5 * 10 ^ 6 prime numbers as an acceptable set, one could further prove that there were infinitely many prime numbers with a difference of less than 70 million.
"According to Mr. Zhang's proof method, as of now, Mr. Zhang's k > = 3.5 * 10 ^ 6 has been reduced to k > = 50. In other words, the number of 70 million has been reduced to 246. The rest of the work will have to be done by the latecomers. "
Professor Ren smiled and threw a piece of chalk on the table. He said, "Perhaps, the great person who will complete this historic work will appear among all of you."
"I look forward to that day!"
Clap clap clap!
The applause was thunderous.
The audience applauded enthusiastically.
It did not matter if they understood or not, they could just applaud!
Of course, there were still a lot of people who understood. They had a thoughtful expression on their faces.
For example, Lu Zhou.
The twin prime number conjecture was just an introduction. This was a semi-popular science lecture, not an academic report. The focus was still to stimulate the students' enthusiasm for mathematics.
Professor Ren talked about the twin prime number conjecture and Goldbach's conjecture. He then talked about the recent development of number theory in China, as well as some cutting-edge research results.
Lu Zhou had to admit that this old professor was quite knowledgeable.
He was able to talk about obscure things in a way that even beginners could enjoy.
However, the content of the second half of the lecture was much less interesting than the first half. Lu Zhou did not even pay attention to it. At this moment, his mind was still on the twin prime number conjecture.
Lu Zhou thought back to his discovery in the library last time. He stared at the blackboard and frowned. He felt like he had discovered something, but the moment he was about to grasp it, it would slip through his fingers …
The lecture soon ended.
The student union took the name list and went to the first row. They began to count the attendance.
After Lu Zhou finished signing in, he could not wait to go to the library. However, he was stopped by the girl who was sitting next to him.
"Senior, senior, wait a minute. Um, can you add your buckle?"
Lu Zhou did not want to waste time, so he wrote a series of numbers on the draft paper that she handed over. He did not give her a chance to speak at all as he quickly walked away under the dumbfounded gaze of the girl.
However, as soon as he walked out of the door, he was stopped by another person.
This person was none other than Professor Ren who had just given a lecture.
Judging from the smile on the old man's face, he should have been waiting for him at the entrance of the lecture hall for a while.
"Haha, young man, we meet again."
Lu Zhou:???
We've met before?
I think I've seen him somewhere before …
Before Lu Zhou could react, Professor Ren continued to speak.
"Young man, are you interested in developing your career?"
Lu Zhou, who was still thinking about the twin prime number problem, was shocked by this sudden question.
F * ck, is he asking me to be an astronaut?
How can I do that!
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