Scholar’s Advanced Technological System

Chapter 73: I don't want to go to heaven yet

八 At eight thirty in the morning, the seat in the staircase classroom is almost full.

Lu Zhou found a place in the back row and sat down very low-key.

At 8:50, there was a full seat in the ladder classroom, and some people brought stools from the next classroom and sat on the aisle to listen.

I am not even from this school, even people from several institutions next door have come to my class.

I can see that the popularity of Professor Ren Changming is indeed not small.

At 9:00, the lecture officially started. Looking at the old gentleman on the podium, Lu Zhou became more and more familiar, and I always felt that there was a side. But it was too far apart, and coupled with the possibility of changing clothes, he couldn't remember where he had seen it.

PPT started screening. The freshman elementary girl sitting next to her finally stopped talking to her roommate 叽叽喳喳 on the other side and reached for her bag to take notes and pen.

At this moment, she saw the nearby Lu Zhou and suddenly stunned.

A few more glances, she whispered, "Classmate, are you Lu Zhou?"

Lu Zhou froze and nodded: "Yes."

The girl's eyes brightened, and she whispered in a little excited voice: "Are you ... are you a land boat with one or three sessions?"

"Yes ... is there anything?"

"No, nothing." The elementary girl quickly shook her head.

Nothing, what did you tell me to do!

Lu Zhou was speechless, opened the small book, and started taking notes.

"..."

Lu Luzhou: "..."

I don't know if it's his illusion. I always feel that the two freshman elementary girls next to him are watching him secretly, and they whispered excitedly, pointing and whispering.

Lu Lu sighed in his heart.

Is this the trouble of being a celebrity?

I feel ...

not bad?

Fortunately, they didn't talk for too long, and soon the topic went elsewhere.

Lu Zhou automatically shielded the outside interference and focused on the lecture itself.

It happened that Professor Ren just finished his opening remarks, and he didn't miss much.

"... We all know that prime numbers are natural numbers with only two factors. You may have memorized the top 100 prime numbers table when you were in junior high school. Twin primes refer to pairs of prime numbers with a difference of 2, that is, p It's the same as p + 2 for prime pairs. For example, 3 and 5, 5 and 7, 11 and 13, 17 and 19, etc. As the numbers get larger, the number of twin prime pairs that can be observed is getting less and less. "

"There are 8 pairs of twin primes within 100, and there are only 2 pairs in the interval 501 to 600. As the prime numbers increase, the next prime number should be farther and farther from the previous prime number, but it is as famous as Goldbach's conjecture and An important conjecture asserts that there are infinitely many pairs of prime numbers, which differ only by 2, such as 3 and 5, 5 and 7, and even this ... "

Speaking of this, Professor Ren wrote down a line of numbers on the blackboard.

[2003663613 × 2195000-1 and 2003663613 × 2195000 + 1]

He looked back, he smiled and continued.

"There are infinitely many primes with a difference of 2. This is the famous twin prime conjecture."

So far, Professor Ren has talked about some superficial knowledge. Even Lu Zhou, who has not studied the twin primes in depth, can easily keep up.

The same is true of other freshmen, whether amateurs in mathematics or non-mathematics are listening with great interest.

But soon, the content of the lecture began to deepen.

"... The twin prime conjecture has always been a problem that plagued the mathematics community. But just last year, breakthrough research on this issue appeared." Professor Ren smiled and turned to the next page of the PPT and continued. "Chinese-mathematician, Mr. Zhang Yitang, proved a weakened form of twin primes and found that there are infinitely many prime pairs with a difference less than 70 million, thus achieving a breakthrough from nothing on the road to the twin prime conjecture. . "

Speaking of this, Professor Ren pushed his glasses and wrote Mr. Zhang's certification 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 & amp; gt; 0 ……]

【……】

I looked at the increasing formula on the blackboard, and the students who could understand it before were instantly aggressive.

For example, the elementary girl sitting next to Lu Zhou had the expression "Who am I?" "Where am I?" "What am I dictating?" It's as if you just missed a second, but you feel like you missed the whole world ...

Lu Zhou can follow the ideas of the previous professor.

In brief, Mr. Zhang skillfully selected a lambda function and successfully proved that for k & amp; gt; = 3.5 * 10 ^ 6, the conclusion S2? (Log3x) S1 & amp; gt; 0 holds.

In this way, listing the first 3.5 * 10 ^ 6 prime numbers as an acceptable set can further prove that there are an infinite number of prime pairs with a difference less than 70 million.

"According to the proof method left by Mr. Zhang, as of now, Mr. Zhang's k & amp; gt; = 3.5 * 10 ^ 6 has been reduced to k & amp; gt; = 50. In other words, the number of 70 million has been reduced to 246. The rest of the work needs to be completed by latecomers, "

Now, Professor Ren smiled and left the chalk head on the desk. "Perhaps, the great person who completed this historic work will appear among you all here."

"I'm looking forward to that day!"

Crackling!

The thunderous applause.

The audience under the stage applauded warmly.

Whether you understand or not, just follow the applause at this time!

Of course, many people still understand, a thoughtful expression appeared on his face.

For example, Lu Zhou.

The twin prime conjecture is just an introduction. This semi-scientific lecture is not an academic lecture, the focus is still on stimulating students' enthusiasm for mathematics.

Professor Zhi Ren talked about the Goldbach conjecture from the twin prime conjecture, and from the Goldbach conjecture talked about the recent development of domestic number theory and some of the more advanced research results.

I have to say that the old professor does have some ink in his stomach.

I can talk about some obscure things, even the beginners can listen to with interest.

However, the content of the second half of the lecture, compared with the content of the first half, UU Kanshu www.uukanshu. com nutrition is too much less, so that Lu Zhou did not listen to it carefully. At this moment, his mind is still on the proof of the twin prime conjecture.

Thinking back to the last discovery in the library, staring at the formula on the blackboard, Lu Zhou's brows were locked, and I felt something was found in the meditation, but I was always about to grasp it and let it pass from my fingers. slip……

The lecture was over soon.

The students went to the first row with the list and started to sign in.

After Lu Lu arrived, he couldn't wait to rush to the library, but was stopped by the freshman elementary girl who was sitting next to him.

"Senior, senior, wait a minute, that, can you add your buckle?"

I didn't want to waste time, Lu Zhou wrote a bunch of deductions on the draft paper she handed, and then gave her no chance to continue talking. She quickly walked away in the staring eyes of the schoolgirl.

But as soon as he went out, he was stopped by another person.

人 This person is not someone else, it is the professor Ren who gave the lecture just now.

From the smile on the old gentleman's face, he should have waited for a while at the entrance of the stepped classroom.

"Oh, boy, let's meet again."

Lu Zhou :? ? ?

Have we met?

I seem to have seen it somewhere ...

He did not wait for Lu Zhou's response, the old gentleman continued to speak again.

"Boy, are you interested in developing on the rocket?"

Lu Zhou, who was still thinking about the problem of twin primes, was taken aback by this sudden problem.

Nyima, is this to make yourself an astronaut?

哪 How can this work!