Chapter 366 The world of inspiration! Twin prime number 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."
After writing, he runs 10 kilometers and swims for half an hour every day. Countless inspirations were born during this period.
Scientific research shows that long-term running will release a substance called dopamine in the brain, causing the brain nerves to become extremely excited, and then burst out with inspiration. Therefore, many scientists also have the habit of exercising, especially running.
Qin Ke was not very interested in running before. He preferred basketball, a sport that involves a battle of wits and courage, and involves both personal heroism and teamwork to work together toward a goal.
It's just that he has played basketball for more than ten years and has not generated any academic inspiration through basketball. This is probably because basketball requires all his energy to be concentrated.
When he ran today, he ran round and round. The slow, mechanical and repetitive body movements made his thinking begin to diverge and relax.
He subconsciously pondered several conjectures related to prime numbers.
Since the college entrance examination ended in early June, he has basically not stopped studying the Riemann Hypothesis. Although as long as his three papers are published in top international mathematics journals, he will receive systematic rewards and obtain the proof of the Riemann Hypothesis.
method, but due to his interest in mathematics and his habits over the past six months, Qin Ke still wanted to try to prove the Riemann Hypothesis by relying on his own ability.
Through the last "Inspiration Amplification" state, he has discovered that he can construct a set of expressions to prove the Riemann Hypothesis through the construction method, and formed a well-founded paper.
But he only constructed the first expression at that time, which could be regarded as opening the door a crack. To completely open the door, at least five or more expressions are needed.
Qin Ke thought and studied repeatedly in the month after the college entrance examination, but he was still unable to construct the second expression.
After thinking hard to no avail, he decided to think divergently and try to find inspiration from other prime number conjectures that were in the same line or were related.
Prime numbers are the most important numbers in number theory, and many theorems were born by exploring prime numbers.
It is the basic unit in numbers, just like the elementary particles in atomic physics.
There are countless conjectures about prime numbers, the most famous of which are Goldbach's conjecture, Riemann's conjecture, Polignac's conjecture and their special form of the twin prime conjecture.
These world-class prime number conjectures are basically of the same origin or have many connections.
The most difficult one is Riemann's conjecture, followed by Goldbach's conjecture, and then Polignac's conjecture. The twin prime conjecture is the relatively simplest of the four and also has the most research results.
Qin Ke decided to attack the "simplest" twin prime number conjecture first since July.
The concept of twin prime numbers 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 such that p 2 is a prime number. The pair of prime numbers (p
, p 2) are called twin primes.”
In 1849, Polignac proposed the famous conjecture named after him, Polignac Conjecture - "For all natural numbers k, there are infinitely many pairs of prime numbers (p, p 2k)".
When , it is called the twin prime conjecture.
The twin prime conjecture has been proposed for more than a hundred years. In the first hundred years, there were almost no major results. However, in the past ten years, with the continuous optimization of mathematical methodology and more and more mathematicians focusing their attention on it, relevant
The process of proving the twin prime conjecture began to make new breakthroughs.
The latest methodology was first proposed by Master Zhang, a mathematician from the Xia Dynasty. He weakened the twin prime number conjecture to "can you find a positive number so that there are infinitely many pairs of prime numbers whose difference is less than this given positive number", and this "
"definite positive number" has been reduced from 70 million to 246.
When this definite positive number shrinks 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 conjecture in the world, including of course the papers of Master Zhang, a mathematician from the Xia Dynasty.
The "definite positive number" of 70 million was first proved by Master Zhang. The mathematical method he used was the sieve method proposed by Master Chen when studying the "1 2" problem, and he made many improvements.
However, due to the limitations of the sieve method itself, even if it is continuously improved, it will be unable to do anything after the "definite positive number" is reduced to three digits, and we can only find new mathematical methods.
Qin Ke applied his structural method of studying the Riemann Hypothesis 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 traveled
Most of the free time on the way was spent on this subject.
Unfortunately, Qin Ke never found the final correct idea on how to construct it, and whether to construct a system of functional equations or a finite number system as a bridge between prime numbers and algebraic geometry.
Today, while he was running boringly in circles, his mind unknowingly focused on the twin prime number conjecture.
After he finished his tenth lap, he suddenly heard the system prompt:
"Ding! Congratulations, your sports experience points have accumulated to 320, and the 'Sports' subject has been upgraded. The current level is: LV5! The experience points required to upgrade to the next level are:!"
Qin Ke's physical fitness and athletic ability improved again by 1.1 times in the next moment. Compared with the original state, the improvement reached 1.47 times! Nearly 50%!
Qin Ke felt comfortable all over, and his already tired body seemed to have been injected with new energy.
Almost at the same time, his brain suddenly seemed to be enlightened, and his brain was extremely clear. It was as if he had suddenly entered the ultra-high-definition world of 4K resolution from the 720P resolution in an instant. All the prime number conjectures he had watched in the past six months
, especially the literature and 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 threads.
This chapter is not over yet, please click on the next page to continue reading! He actually magically entered a state of "inspiration amplification" while improving his sports level!
Countless new ideas and new ideas came to his mind, as if the mathematical world full of truth opened in front of his eyes!
Qin Ke's body was still running with inertia, but his mind was completely occupied by these inspirations.
Qin Ke continued to think divergently, relying on his unique advantage of dominating all sub-disciplines of mathematical theory, slowly simplifying the twin prime number problem into a complex one, 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 Qingjun" Olympiad Theory of Mathematics to form a prime number polynomial group...
He kept running forward, his speed slowly slowing down due to the exhaustion of his physical energy, and his breathing became heavier, but he was completely unaware of this. He just continued thinking about the proof of the twin prime conjecture.
Running in circles...
"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 be punished for his classmates? How many laps are these?"
"Damn it, it's the 30th lap! 12 kilometers! Qin Shen won't really run until the end of time, right?"
"Is this the pace of a marathon?"
"The physical education teachers can't keep up... Qin Shenniu is crazy!"
"Our school has been established for 100 years. Is there any student who can run more than 12 kilometers in one breath? Qin Shen 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 here as well. Qin Shen's escape is truly earth-shattering!"
"I worship the god of learning. This perseverance is truly incredible. If it were for me, I would have run away and died."
The students were talking a lot, with faces full of exclamation. If it weren't for the fact that they were not allowed to bring mobile phones during the military training, they would have all held up their mobile phones to take pictures - oh, the reporters from the school newspaper were actually carrying cameras to film the whole process. They planned to
Make a big report.
The teachers were extremely anxious. The school leaders all surrounded Ning Qingyun with solemn faces and asked carefully. Ning Qingyun didn't know when Qin Ke would stop. She was just worried about his physical condition while insisting not to let anyone go.
disturb him.
The physical education teacher has been rotated through two batches and has been carefully running beside Qin Ke. Seven or eight school doctors are also nervously on call, and even the stretcher is ready.
Since the establishment 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 did not stop.
After a school doctor followed him for a lap, he came back and gasped: "There should be no problem. He is jogging now, his breathing is becoming more and more steady, and his physical strength is slowly recovering... This student's physical fitness is terrible. He will probably pass the exam."
National first-level athletes... it’s not a problem anymore.”
After hearing the school doctor's words, the school leaders reluctantly relaxed.
At this time, Qin Ke finally connected all the "clues" in his mind and saw the bright light in the darkness.
"Yes, my original construction idea is right. We can use these prime 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 introduced into algebra.
In the field of geometry, construct a brand new system of functional equations through algebraic geometry to find the general solution... That's it!"
Ning Qingyun, who was in the crowd, suddenly noticed that Qin Ke's eyes seemed to be looking at something blankly, and he understood as if he had a clear understanding, and asked hurriedly: "Do you have any paper and pen?"
Paper and pen? What are you going to do?
Everyone looked at each other, but fortunately this was a school, and these two things were indispensable. A faculty member quickly took out a stack of white paper and a pen from his backpack and handed them to Ning Qingyun.
After Ning Qingyun tried the pen and found no problem, he added: "Please help me move a table! I want a taller one, one that can stand and write."
Everyone still didn't know why, but Principal Huang waved his hand, and someone immediately brought in a simple high-top table, which was originally used to put mineral water.
Ning Qingyun quickly came to the edge of the runway and raised the white paper and pen in his hand.
Qin Ke's dazed focus slowly focused on her, and then suddenly turned back and ran towards her. He smiled gratefully, and without even having time to say anything, he took the paper and pen from her hand, came to the table, and
Standing like this, I spread out the paper and started writing.
Now that he is in the state of "Inspiration Amplification", he must take advantage of this excellent state to write down all the processes. Otherwise, once he exits the "Inspiration Amplification" state, he wants to maintain such a clear and divine help.
It is difficult to find ideas and creative inspiration.
No situation can interrupt his inspirational thinking at this time!
The "rustling" sound made by the pen scratching on the paper is like a silver hook and iron scratching, more like a top swordsman dancing with a sword!
Everyone was frightened by Qin Ke's momentum, and they all held their breath subconsciously. The surroundings were extremely quiet for a while, but a thought flashed through their minds:
What on earth is Qin Ke going to do?
I’ll update one chapter first, and I’ll post another chapter later.
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Please remember the domain name of this book:. Novels of Strange People of the Republic of China
Chapter completed!