Polignac guessed that it would not be unfamiliar to many people, but it would not be familiar either.

For all natural numbers k, there are infinite pairs of prime numbers (p, p 2k). This is the mathematical description of Polignac's conjecture.

When , the Polignac conjecture becomes the twin prime conjecture.

Therefore, many people who do not have a particularly deep understanding of number theory, including Vice President Gu Bojun, will think that the form has been proved, and it should not be too difficult to generalize k to the large set of all natural numbers, right?

In fact it is really difficult!

Qin Ke's original "finite number system" using the construction method, the idea is to simplify the twin prime number problem into a complex one, convert it into an algebraic geometry problem and then simplify it, then directly list the prime number polynomials on the graph and solve it.

For k equal to 1, there is only one geometry.

But when k is expanded to all natural numbers, it means that there are countless geometric figures, and it is simply impossible to list prime number polynomials to solve.

Therefore, Qin Ke's original finite number system failed to prove the Polignac conjecture. He had to use other methods and ideas to overcome this prime number conjecture, which was at least three times more difficult.

With Qin Ke's current "professional level" mathematics level, it is almost impossible to do this. Even if he enters the "inspiration amplification" state, the probability of successful proof is relatively low.

But Qin Ke still has confidence. His confidence lies in the fact that he holds the "Complete Explanation of the Riemann Hypothesis", a huge weapon that defies heaven.

The Riemann Hypothesis is of great significance to number theory. Many number theory problems such as function theory, analytic number theory, and algebraic number theory rely on the Riemann Hypothesis.

In particular, "Complete Explanation of the Riemann Hypothesis" provides a very in-depth explanation of analytic number theory, geometric number theory, and algebraic number theory, which greatly facilitated Qin Ke's understanding of these analytical number theory processing methods.

For example, the five sets of expressions in this S-level knowledge construct five unprecedented "new systems", which can also be called "new number theory processing methods" - just like Qin Ke's original "finite number system". In fact,

The above is the "analytical number theory processing method of finite numbers", which builds a bridge between prime numbers and algebraic geometry with a special analytic number theory processing method.

Although Qin Ke could only understand the first three sets of expressions and their methods, it was enough to make his mathematical thinking in using construction methods to construct "number theory processing methods" a huge leap forward, surpassing the current "professional level"

, comparable to the "master level".

However, whether these three constructed new processing methods can be applied to the Polignac conjecture requires a lot of demonstration and exploration, and it is basically impossible to directly quote it. The most likely thing is that it will take effect after transformation.

If Qin Ke only relied on him, it would probably take about two months to complete the verification, but with Ning Qingyun, who has made rapid progress in number theory, Qin Ke would be much more relaxed.

With the help of the systematic "thinking resonance", Qin Ke spent two nights to completely teach Ning Qingyun the first "Geometric Number Theory Matching Approximation Method".

This is a number theory processing method based on algebraic geometry. It is somewhat related to Qin Ke's "finite number system". It uses algebraic geometric thinking such as Diophantine approximation and the approximation of rational numbers to irrational numbers. It is very creative. "Geometric number theory matching approximation"

"Method" is basically similar to what Qin Ke figured out himself, but it is more optimized, concise and direct. It can be said to be an optimized version.

Ning Qingyun has finished studying "Zhi Ning Qingyun II" and happens to be good at algebraic geometry and number theory. This "Geometric Number Theory Matching Approximation Method" is most suitable for her to study.

Qin Ke himself is studying the second and third new treatment methods.

The second set of expressions uses the "function transformation hypergeometric system", which is constructed based on the Padé approximation method, Merlin transformation, Gap criterion and other hypergeometric methods.

The third processing method is the most difficult and complex of the first three, the "group theory function equation method", which is based on several advanced mathematical methods such as the large sieve method, circle method, group theory, and constructor function equations.

A completely new approach to processing.

In the past month, Qin Ke spent one-third of his self-study time every day studying these two processing methods and trying to use them to prove the Polignac conjecture.

However, Polignac's conjecture ranks among the top 200 most difficult problems in the history of human mathematics. I don't know how many famous mathematicians have failed at its hands. Qin Ke studied for more than a month. Although it was not without results, it was not close to finding it.

The breakthrough point is still far away when he is cut down by the sword.

Ning Qingyun, who devoted himself to studying the "geometric number theory matching approximation method" during the same period, also made little progress.

Knowing that the most important thing for mathematical research is to be able to endure loneliness, keep one's original intention, and not be arrogant or arrogant, so the two of them are not too anxious. I don't know how many amazing and talented mathematics masters are studying Polignac's conjecture of tens.

There have been no breakthrough results in years. It would be damning if the two of us could prove it after just one or two months of study.

In the blink of an eye, it's Qin Ke's nineteenth birthday.

Qin Ke felt that he must be very destined to snow and ice, because every time he has a birthday, it will snow, even if it is just a light snow for half an hour... Anyway, since he can remember, it has never failed.

Today was no exception. Snowflakes like goose feathers were falling in large numbers early in the morning, along with the howling cold wind, making people feel the chill in their bones.

In a moment, the entire world was covered in white, and it was difficult to distinguish anyone ten steps away.

Because of the heavy wind and snow, the school's radio station even broadcast a message that classes were suspended this morning, asking students to stay indoors and not go out easily.

Although Qin Ke wanted to be with his little Baicai on his birthday, the weather obviously didn’t allow it. After replying to a number of WeChat messages or text messages from relatives and friends from all over the world wishing him a happy birthday, Qin Ke was about to make a phone call.

I called Ning Qingyun. The animals in the dormitory heard from somewhere that today was his birthday, and the boys from the surrounding dormitories also came over with snacks and beer to congratulate him.

This chapter is not over yet, please click on the next page to continue reading! Then 501 became completely lively.

Facing the enthusiastic classmates, Qin Ke stopped being pretentious. After sending a message to Ning Qingyun to explain, he played cards and drank beer with a group of boys.

Recently, there was a poker competition of Landlords in the school - don't complain about how there is such a competition in the school, it was organized by the chess and card interest club - which greatly promoted this activity. Qin Ke took Ning Qingyun to participate in several games.

round, but they were quite busy. After winning five games in a row and enjoying themselves, they "retired" and focused on Polignac's conjecture.

However, with Qin Ke's popularity and dazzling record, this activity suddenly became popular in dormitory 501.

Especially after Qin Ke explained the skills that require high IQ and strong psychology such as listening to cards, guessing cards, recording cards, and bidding cards, 501 and the people next to him didn't even play games, and just got together to fight Landlord all day long.

.Even nerds like Li Xiangxue, who is addicted to solving difficult problems, are also keen on it. Jiang Zhenjie is known as the "King of Landlords" and is not afraid of anyone-except Qin Ke-challenge.

The trend of fighting landlords is getting more and more intense. Nowadays, any male student in the physics department who doesn't know how to fight landlords will be laughed at.

Qin Ke usually participates less because of his busy schedule, but he always wins every battle. It can be said that he is not alone in the world, and there are legends about him everywhere in the world.

It was rare for him to accept a challenge in the dormitory at this time. Any boy with a bit of ambition would take the opportunity of birthday congratulations to challenge Qin Ke.

If you can’t beat you in studying, or if you can’t beat you in basketball, you should be able to earn some face by playing cards, right?

Even if you can't win, playing cards and drinking together will always get you acquainted with Qin Ke and deepen your friendship.

Out of all kinds of psychology, more and more boys gathered in dormitory 501, not only the boys on the fifth floor, but also other majors from other colleges on other floors.

It was snowing and blowing outside, but inside dormitory 501 there was a lot of excitement and shouting, and cards, peanuts, melon seeds, and beer were flying together.

But no matter how many opponents he changed, whether they were local owners or farmers, Qin Ke never lost a single match. People had to exclaim that Ke was too powerful.

Just as the farmers and landlords were fighting fiercely, the broadcasts in the dormitories and corridors suddenly sounded at the same time. The familiar voice of the school radio station announcer, senior sister Cheng Wenjun, spread to everyone on the Nottingham University campus.

corner:

"Hello everyone, I am the host of the school radio station, the announcer Cheng Wenjun. I just received a request from a cute school girl. Because this request is so cute, I decided to take advantage of this snowy morning to broadcast the evening's

The song request time has been advanced, I hope the leaders will not take it personally."

If it was a normal announcement, everyone might not pay too much attention to it, but such an opening was too unexpected, especially the words "cute school girl", which made a group of hormonal beasts involuntarily pause their playing cards and curiously

Keep your ears open to hear what's coming next.

"Next is a message from this cute school girl."

"There is a boy who is particularly important to me. Although he always made me angry when we were at the same table at the beginning and tried to trick me in various ways, when I think back now, he is full of happiness."

Wow, it seems like a confession! And it’s a girl’s confession!

Dormitory 501 became excited instantly, and the whole school also became excited!

Although the school radio station occasionally has such romantic moments, most of them are relatively reserved. Just saying "Send a song of XXX to so-and-so, wishing them..." is too overwhelming, and mixed in with a bunch of dots.

The song is not conspicuous - after all, although the school does not prohibit college students from falling in love, it does not encourage it. Generally, explicit confessions are screened out at the radio station level, and there is no way they will appear on the radio.

This time, it was the radio station’s webmaster and first announcer, Cheng Wenjun, who personally adjusted the song request time. On such a snowy day when classes were temporarily suspended, how could he not read such a script on behalf of the "cute school girls"?

Are the already restless boys and girls excited and hooting?

Qin Ke couldn't help but smile, subconsciously thinking of Ning Qingyun.

It turns out that there are other girls who were tricked by the boy at the same table. They really have the same idea. I will get to know this boy next time I have a chance.
Chapter completed!