I really just want to be a scholar

Chapter 367 The World of Inspiration!Twin prime conjecture!

Some people say that sports can produce academic inspiration.

Just like the famous writer Haruki Murakami once said when talking about writing inspiration: "Sports are very important to my writing and creativity."

In addition to writing, he runs 10 kilometers every day and swims for half an hour. Countless inspirations were born during this period.

Scientific research shows that running for a long time will release a substance called dopamine in the brain, which makes the brain nerves become extremely excited, and then bursts of inspiration.So many scientists also have the habit of exercising, especially running.

Qin Ke was not very interested in running in the past. He preferred basketball, which is a game of wits and courage, with both individual heroism and teamwork to work towards a goal.

It's just that he has played basketball for more than ten years, and he hasn't had any academic inspiration through basketball, probably because basketball needs to concentrate all his energy.

When he was running today, he ran lap after lap. The slow, mechanical and repetitive body movements made his mind diverge and let go.

He subconsciously pondered several conjectures related to prime numbers.

Since the end of the college entrance examination in early June, he has basically never stopped studying Riemann's conjecture, although as long as his three papers are published in top international mathematics journals, he will be able to get systematic rewards and then obtain the proof of Riemann's conjecture method, but out of his interest in mathematics and the habit of half a year, Qin Ke still wants to try to prove the Riemann Hypothesis by relying on his own ability.

Through the last "Inspiration Amplification" state, he has discovered that the Riemann Hypothesis can be proved by constructing a set of expressions through the construction method, and formed a reasonable and well-founded thesis.

But at that time, he only constructed the first expression, which was a gap in the door.And to completely push the big door open, at least five or more expressions are required.

Qin Ke thought and studied repeatedly in the month after the college entrance examination, but he still failed to construct the second expression.

After thinking hard to no avail, he decided to diverge his thinking, starting from other conjectures of prime numbers that were in the same line or related, and tried to find inspiration.

Prime numbers are the most important number in number theory, and many theorems are born by exploring prime numbers.

It is the fundamental unit of number, just like the elementary particle in atomic physics.

There are countless conjectures about prime numbers, the most famous of which are Goldbach's conjecture, Riemann's conjecture, Polygnac's conjecture and its special form of twin prime number conjecture.

And these world-class prime number conjectures are basically in the same line or have many connections.

The most difficult is Riemann's conjecture, followed by Goldbach's conjecture, and then Polignac's conjecture. The twin prime conjecture is relatively the simplest of the four and has the most research results.

Since July, Qin Ke has decided to attack the "simplest" twin prime number conjecture first.

The concept of twin primes was born at the International Congress of Mathematicians in 1900. It was proposed by Hilbert in the 8th question of his report: "There are infinitely many prime numbers p, so that p+2 is a prime number. Prime number pairs ( p, p+2) are called twin primes.”

In 1849, Polignac proposed the famous conjecture that bears his name, the Polignac conjecture - "For all natural numbers k, there exist infinitely many pairs of primes (p, p+2k)".

When k=1, it is called the twin prime conjecture.

The twin prime number conjecture was proposed more than 100 years ago, and there were almost no major achievements in the first 100 years. However, in the past ten years, with the continuous optimization of mathematical methodology and more and more mathematicians focusing on it, the twin primes The proof process of the prime number conjecture began to make new breakthroughs.

The latest methodology was first proposed by Master Zhang, a mathematician in the Xia Kingdom, who weakened the twin prime number conjecture to "can you find a positive number such that the difference between infinitely many pairs of prime numbers is smaller than this given positive number", and this " positive number”, which has been reduced from 7000 million to 246 at present.

When the fixed positive number is reduced to 2, that is when the twin prime number conjecture is proved and becomes the twin prime number theorem.

During the summer vacation, Qin Ke read almost all the papers on the twin prime number conjecture in the world, including the papers of Xia Guo mathematician Master Zhang.

The "fixed positive number" of 7000 million was first proved by Master Zhang. The mathematical method he used was the sieve method proposed by Master Chen when he was studying the "1+2" ​​problem, and he made a lot of improvements.

However, due to the limitations of the sieve method itself, even if it continues to improve, it will be powerless after the "fixed positive number" is reduced to three digits, and only new mathematical methods can be found.

Qin Ke applied the idea of ​​​​the construction of the Riemann conjecture to the twin prime number conjecture, but unexpectedly found that it seemed feasible, so he repeatedly studied in this direction. In addition to collecting seeds and absorbing chip technology knowledge during the summer vacation, he was traveling Most of the free time on the way was spent on this subject.

Unfortunately, how to construct, and whether to construct a functional equation system, or to construct a finite number system as a bridge between prime numbers and algebraic geometry, Qin Ke has not found the final correct idea.

Today, when he kept running round and round in a boring manner, his thoughts unconsciously focused on the twin prime number conjecture.

After he finished the tenth lap, he suddenly heard the system's prompt sound:

"Ding! Congratulations, your sports experience has accumulated to 320, the 'sports' subject has been upgraded, the current level is: LV5! The experience value required for the next level upgrade: 320/1560!"

Qin Ke's physical fitness and athletic ability increased again by 1.1 times in the next instant, compared with the original state, the improvement rate reached 1.47 times!Close to [-]%!

Qin Ke only felt comfortable all over, and his already tired body seemed to be injected with new energy.

Almost at the same time, his brain suddenly seemed to be enlightened, and his brain was extremely clear, as if he had entered the ultra-high-definition world of 720K resolution from the 4P resolution in an instant. , especially the literature knowledge related to the twin prime number conjecture, all came to mind, every detail was visible, and turned into countless mathematical formulas and symbols connected by silk threads.

He actually miraculously entered the state of "inspiration boost" while improving his sports level!
Numerous new ideas and ideas flooded into his mind, as if the world of mathematics full of truth opened the door before his eyes!
Qin Ke's body was still running inertially, but his mind was completely occupied by these emerging inspirations.

Qin Ke continued to diverge his thinking, relying on his unique advantages in the sub-discipline of mathematical theory, he gradually simplified the problem of twin prime numbers into complex ones, and then used his most familiar "construction method", "reduction method", " "Induction method", "combination of numbers and shapes", and "recursion method" "decompose" the extremely complex prime number problem according to the "Zhi Ning Qingyun" Olympiad number theory to form a prime number polynomial group...

He kept running forward, his speed slowed down due to the exhaustion of physical energy, and his breathing became heavy, but he didn't notice this at all, just thinking about the proof method of the twin prime number conjecture while continuing running round and round...

"What's going on? Why is Qin Shen still running? Didn't the rumors I heard before say that he ran 20 laps in order to punish the students in the class? How many laps is this?"

"Damn it, it's the 30th lap! 12 kilometers! Qin Shen couldn't really run forever?"

"Is this the rhythm of running a marathon?"

"The physical education teachers can't keep up... Qin Shenniu is blowing up!"

"Our school has been established for a hundred years. Is there any student who can run more than 12 kilometers in one breath? God Qin is going to set a new record!"

"Look, Principal Huang is here, the deans of the Department of Mathematics and Science and the Department of Physics are here, and many professors are also here. Qin Shen's run is earth-shattering!"

"Worshiping the god of learning, this perseverance is really not covered. I would have died a long time ago."

The students talked a lot and were full of amazement. If it wasn’t for the fact that mobile phones were not allowed during the military training, they would all be holding up their mobile phones to shoot at this time—oh, the reporters of the school newspaper really carried their cameras to shoot the whole process. They planned to Do a big report.

The teachers were in a hurry, and all the school leaders surrounded Ning Qingyun with serious expressions. Ning Qingyun didn't know when Qin Ke would stop, but he was worried about his physical condition while insisting not to let anyone bother him.

The physical education teachers have been rotated into two groups, and they have been running carefully beside Qin Ke. Seven or eight school doctors are nervously on call at any time, even the stretchers are ready.

Since the founding of Qingmu University, there has never been such a big commotion caused by a student running.

Finally, Qin Ke's pace slowed down after 40 laps and turned into a small jog, but he still didn't stop.

A school doctor followed after running around, then came back panting and said, "There shouldn't be any problem. He is jogging now, but his breathing is becoming more and more stable, and his physical strength is slowly recovering... This student's physical strength is terribly strong. I guess he will pass the test." National level athletes ... are not a problem anymore."

After hearing what the school doctor said, the school leaders barely relaxed.

At this time, Qin Ke finally connected all the "clues" in his mind, and saw the light in the darkness.

"That's right, my original construction idea was correct. I can use these prime number polynomial groups to construct a finite number system. Through the finite field, all theoretically possible twin prime numbers can be mapped to coordinates one by one, and then introduced into the algebra. In the field of geometry, construct a brand new functional equation system through algebraic geometry to find the general solution...that's it!"

Ning Qingyun in the crowd suddenly noticed that Qin Ke's eyes seemed to be looking at something blankly, and he understood it like a tacit understanding, and hurriedly asked: "Is there any paper and pen?"

paper and pencil?What are you going to do?
Everyone looked at each other in blank dismay. Fortunately, this is a school, and these two things are the most indispensable. A staff member hurriedly took out a stack of white paper and a pen from his backpack and handed them to Ning Qingyun.

After Ning Qingyun tried the test pen and it was fine, she added: "Please help move a table! It needs to be taller, the kind that can write standing up."

Everyone still didn't know why, but Principal Huang waved his hand, and immediately someone brought a simple high table, which was originally used to put mineral water.

Ning Qingyun hurried to the edge of the runway, and raised the white paper and pen in his hand.

Qin Ke's blank focus slowly focused on her, and then he turned back suddenly, ran towards her, smiled gratefully, and before he even had time to say anything, he directly took the paper and pen from her hand, came to the table, and Standing like this, he spread out the paper and began to write.

Now that he is in the state of "inspiration boost", he must take advantage of this excellent state to write down all the process, otherwise, once he exits the "inspiration boost" state, he wants to maintain such a clear and clear Ideas and creative inspiration are difficult.

No situation can interrupt his inspiration thinking at this time!

The "rustling" sound of the pen on the paper is like a silver hook and an iron stroke, more like a top swordsman dancing his sword!
Frightened by Qin Ke's aura, everyone held their breath subconsciously, and the surroundings were extremely quiet for a while, but a thought flashed in their minds:
What exactly is Qin Ke going to do?
　One chapter will be updated first, and another chapter will be released later.

　　
　
(End of this chapter)