After staying at Old Tang's place for a while, Lu Zhou came out of the lecture hall and was immediately surrounded by a group of female students.
Well, there were actually some students nearby, but when they saw so many girls, they were too embarrassed to squeeze in.
"Senior, Senior, how did you learn Advanced Mathematics? I feel like advanced mathematics is very difficult. Do you have any learning experiences that you can teach me? "
"Senior Brother, Senior Brother, I heard that our school has a policy of encouraging postgraduate students? Is that right? Or do we have to win the Higher Education Society Cup … "
"Bro, are you going to participate next year? Do you need teammates? I can write a thesis! I won the best debater in the high school debate competition! First prize in the Olympiad! "
"Brother Genius, do you have a WeChat ID? Can you add me ~ "
Faced with this barrage of questions, Lu Zhou was muddled.
Although I know I'm handsome, you guys don't have to be so enthusiastic.
I'm embarrassed …
Lu Zhou finally got rid of his juniors and walked toward the library with his computer bag on his back.
Chen Yushan had been studying politics for the past few days, so she did not go to the library.
Coincidentally, Lu Zhou did not have time to talk to her.
Although the system imprinted the proof method in his mind, it still took a lot of effort to organize the proof process that was enough to fill three or four pages of A4 paper.
The most basic thing was that if he wanted others to understand his proof process, he had to first digest it himself.
In the end, it might not be as simple as the three or four pages given by the system. It might even be twice as long.
Also, number theory was not Old Tang's research direction, so there was no one to check his thesis. If he wanted to pass it in one go, he had to focus 120% and restore every vague detail of the proof process given by the system. This way, the academic editor would not be able to find any flaws!
[Discussion on the distribution law of Mersenne primes and proof of Zhou's conjecture]
[Abstract: This paper studies the distribution law of Mersenne primes and proves that when 2 ^ (2 ^ n) < P < 2 ^ (2 ^ (n + 1)), MP has 2 ^ (n + 1) -1 prime numbers. Based on this argument, it is proved that when P < 2 ^ (2 ^ (n + 1)), Mp has 2 ^ (n + 2) -n-2 prime numbers.]
Lu Zhou left a blank space in the main text section. He skipped to the citations section and quickly typed a line of text.
[Citation: The Distribution Law of Mersenne Primes [J]. Zhou Haizhong. Journal of Yixian University (Natural Science Edition). 1992 (04)]
This was the only document that needed to be cited.
Over the past two decades, countless mathematics enthusiasts and number theory researchers had repeatedly tried to prove this theorem, but none of them succeeded. Even Mr. Zhou, who made this conjecture, couldn't give a suitable proof after studying it for so many years.
This was the charm of number theory. The apple hung above everyone's head. Whether it was a mathematician or a math enthusiast, everyone could see the attractive red apple. They just had to wait for a tall person to come, stand on tiptoe, and pick it up.
Lu Zhou's hands left the keyboard and he picked up a pen and paper.
He was in a trance and completely forgot about the outside world. He even forgot himself.
There was only a pen and paper in the world.
The infinite prime numbers were infinitely magnified under the tip of his pen and infinitely compressed in the lines of expressions. The intertwined numbers and symbols converged into a spell, weaving magic to describe the truth of the universe.
Time slowly passed by.
Pieces of draft paper gradually covered the table in front of Lu Zhou.
Lunchtime.
The guy next to him stretched his back and was about to get up and go to the cafeteria to eat. He suddenly noticed the pieces of draft paper on Lu Zhou's table and the lines of calculations on the paper. He was dumbfounded.
What kind of question is this nutty?
There are so many pieces of draft paper and it's not even finished?
He looks quite young, like an undergraduate student. But is there such a difficult mathematics question in the undergraduate level?
The guy looked at it and could roughly understand that it was a number theory question. However, when he looked further down, he did not quite understand. On one hand, Lu Zhou's handwriting was really good. On the other hand, this guy was not in the field of number theory. He only knew a little bit about number theory, but he only knew a little bit.
He was full of curiosity and was about to ask what this guy was proving when he suddenly noticed the title of the document in the center of the laptop screen.
Zhou's conjecture proof?!
His curiosity was instantly gone.
Oh, so this guy is crazy.
"Another one that's crazy from studying mathematics."
The guy cursed in his heart, picked up his backpack, turned around, and left without another word.
Although he was not in the field of number theory, it did not mean that he knew nothing about it.
In the past two decades, mathematicians from all over the world, as long as they were in the field of number theory, had more or less studied Mersenne primes, twin primes, and Fermat primes. After all, this was the key to solving the century's problems. As long as one studied Mersenne primes, they had basically tried to prove Zhou's conjecture.
However, did anyone succeed?
Forget about picking apples, no one even built a ladder or moved a stool!
If I let you, an undergraduate student, come out with a certificate, that would be really strange!
Lu Zhou was completely immersed in the lines of calculations. He obviously did not notice the passerby's thoughts. Even the passage of time and the hunger in his stomach were drowned out by those lines of calculations.
He did not know when he started to get used to this unhealthy way of studying …
When Lu Zhou wrote down the last line of calculations, the sky outside the window was completely dark.
He took a deep breath and leaned back in his chair. He felt like his entire body was about to collapse.
On one hand, he was tired.
On the other hand, he was hungry.
"I can't believe I forgot about eating … Looks like I've really become an immortal."
The difficulty of this thesis was much higher than the previous "Optimal Inversion Theory of Linear Operators and Linear Functionals". The academic value was also on a completely different level. However, the good thing was that the core work was done. The remaining work was to organize these drafts onto A4 paper and input them into the computer to complete the entire thesis.
Lu Zhou rubbed his stomach and was about to stand up. He was about to put away the draft paper on the table.
However, at this moment, he was suddenly attracted by a row of numbers on a piece of draft paper in the corner.
"Huh?"
Lu Zhou picked up a pen and circled a few numbers on the draft paper. He then rearranged them.
The two groups of numbers after rearranging happened to be twin prime numbers.
Lu Zhou frowned and tapped the pen on the draft paper.
He wrote down two lines of calculations.
However, he quickly crossed them out.
The famous Polignac's conjecture, for all natural numbers k, there are infinitely many prime pairs (p, p + 2k). When k = 1, it was the twin prime conjecture. The study of the distribution law of Mersenne primes, in a sense, also provided a way to solve the infinite twin prime problem.
When he was restoring Zhou's conjecture, he seemed to have discovered something.
Lu Zhou pinched his eyebrows and felt a headache.
No, I have no idea …
That moment of inspiration was fleeting. If he missed the opportunity, it would be difficult to grasp it again.
MMP！
This number theory is not for the average person to play.
"System, give your master some inspiration."
Lu Zhou silently shouted in his heart, but the system did not respond.
Okay then.
It seems like the direction of solving the problem is not within the scope of the system's answer.
"Student, the library is about to close."
Lu Zhou woke up from his thoughts and noticed the librarian standing next to the table. He looked back at the library and it seemed like he was the only student left in the library.
"Oh, sorry, I'll pack up now," said Lu Zhou as he smiled apologetically. He then reached out to pack up the draft paper on the table.
If he continued to hold on, he would not be able to hold on much longer.
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