Before returning to the college entrance examination, I became popular in the science circle

Chapter 94
Although there is still one month left before the actual meeting, Wu Tong only has ten days to prepare the report, and the time is still relatively tight.

As soon as she got home, she was about to renege on her promise, and she apologized to her family. Wu Tong touched her mobile phone and began to browse the information.She didn't go to the study on purpose, she was right next to her family, she could see them when she looked up, and they could see her anytime they went in or out.

She can be immersed in her studies without any distractions. She does not have high requirements for the external environment, even if it is noisy and causing trouble, let alone a relatively quiet home.

Now that you have set a goal, you must do it. You can’t just talk in vain, and you must do what you say!

Polignac's conjecture, for all natural numbers K, there are infinitely many prime number pairs (p, p+2k), where k is a positive integer... The special state of K=1 is the twin prime number conjecture, how to convert this form How about extending it to infinite natural numbers?

By proving this conjecture, we can once again put a final mark on part of Hibbert's eighth question.This premise is based on these four words, prove it.

Continuing to extend Wu Tong's thinking on the twin prime conjecture, Wu Tong wanted to try first to prove the bridge created by the twin prime numbers, and then extend and improve it. Can he create a tool that can crack the Polignac conjecture?
If a worker wants to do a good job, he must first sharpen his tools. If he creates good tools, solving problems will be the result of letting nature take its course.

In the field of prime numbers, Wu Tong has countless knowledge reserves. There are materials available on the market and arxiv has all kinds of strange and innovative ideas and remarks.

Wu Tong has studied too many papers and works on this aspect, but there is still a long way to go before he can create a real dragon-slaying sword. Scattered pearls, without the thread that can thread them together, will not become a world-famous one. pearl necklace.

Where is the specific way out?
Wu Tong once again set off a mathematical storm in her mind. She searched for information and continued to deduce. The pen in her hand was an extension of her thinking. She was calculating and deducing on the draft paper, eliminating one by one the factors she needed.

The general direction of creating tools is correct. The bridge she built can successfully prove the twin prime conjecture. The direction is indeed the same.

However, this bridge alone is not enough to extend the form of K=I to the infinite theory of nature. It is necessary to add new content to it and transform it into a bridge that can suppress the four directions and communicate with Yin and Yang. Tai Chi Bridge is her way back.

After three days of continuous multi-directional deductions, Wu Tong set her sights on group theory. She had seen Mr. Hibbert's proof of the infinity of prime numbers jumping out of her thinking storm, giving gave her the dawn of the ultimate proof.

Suddenly, the complicated and clueless ball of wool pulled out a clear head and tail, and began to become concise and clear.Wu Tong smiled softly.The writing is smooth and flowing, and the clear expressions are written line by line.
given···
C(g):GG,Xgxg
·····
Thoughts surged like a spring, sparks of inspiration continued to emerge, a single spark ignited into a prairie fire, and a brand new proof tool was born.Based on the principle of infinite extension of topology, the sieve method is introduced as a supplement, and the method of group theory is used to study and generalize the infinity problem of prime numbers as a whole.

Wu Tong called it the infinite group proof method, and various mathematical special symbols and numbers are connected in series in her pen to achieve a smooth path leading to the correct path.

It took her half a day to sort out the core content and specific steps of the proof of infinite groups.

With perfect tools and everything ready, Wu Tong took this into consideration as her goal this time, Polignac guessed.

The issue that was originally separated by a thick veil was finally lifted away from the mysterious veil at this moment, revealing the true face of Lushan that had been hidden for many years.

···a·c≡b·c(mod m) can get ac–bc≡0(mod m) can get (ab)·c≡0(mod m).

···(m, c) = 1, that is, m and c are relatively prime, and c can be reduced, a– b ≡ 0 (mod m) can be obtained as a ≡ b (mod m)···
·······
For all natural numbers K, the proposition that there are infinitely many pairs of prime numbers (p, p+2k) is proven.

When the word "established" finally fell, it seemed that there was a fairy music falling into the world, and in the world, there was another conjecture problem that plagued human beings, which turned into a rule and theorem.

She successfully generalized K to the point where K is an infinite natural number!
After flexing his slightly stiff fingers, Wu Tong relaxed and leaned back, closed his eyes to rest, and breathed a sigh of relief. Finally, he didn't talk too much, and he had accomplished the small goal that Polignac guessed!
In the sea of ​​consciousness, the stele of Enlightenment expanded with radiant brilliance, giving Wu Tong's nearly dry and tired brain nourishment like rain from the sky, making up for the consumption of Wu Tong's high-speed brain in the past two days.

The light surrounding it has once again added some richness. It has gone from the initial state of being as thin as a veil and almost invisible. After Wu Tong's continuous learning and acquisition of knowledge, he has made several advances in knowledge that are close to epiphany, and has verified major conjectures and difficult problems. , nourished by the power of acquiring knowledge, it has turned into a rich color almost like milk, which also represents the gradual recovery of the power of the Enlightenment Monument.

Shallow enlightenment flowed in his heart, and the stele of enlightenment regained another ability, which was absolutely deduced.

Everything Wu Tong sees can assist Wu Tong in making in-depth analytical deductions.Of course, this ability has only been restored at the moment. It can only deduce and simulate some data, and it must be based on Wu Tong's knowledge system reserve.

However, for Wu Tong, there is a surprise, absolute direction determination and absolute deduction, which seem to be a perfect match.

After taking a short break, Wu Tong started a new round of busy work. The proof was completed, but it was still only a manuscript. She still had to organize it into a complete report.

However, for this, it didn’t take too much effort. It took a day to sort out the report and the first draft of the thesis in the early morning of the tenth day, which is the real Wu Tong’s birthday on 7.29, and uploaded it directly to on the URL provided by ICM.

It was another night, the moon was setting and the sun was rising. After a deep rest and some morning exercises, Wu Tong went downstairs to enjoy the sumptuous breakfast prepared at home.

Deep-fried fried dough sticks, chubby and chewy, refreshing pickles, cut in half, egg yolk sizzling red oil, homemade salted duck eggs, this is grandma's specialty.

Palm-sized small crispy biscuits, sandwiched with layers of thinly sliced ​​braised beef, boiled out rice oil eight-treasure porridge.Just looking at it already makes people feel elated, and eating it in the mouth is even more delightful to enjoy the gods.

Wu Tong smiled and gave her grandma and aunt a thumbs up. She had been doing in-depth research almost day and night these days, and it was hard work for her family to accommodate her.

"Tongtong's research report is finished!" Xu Meifeng saw that Wu Tong's brows were in high spirits, which was very different from the seriousness of thinking a few days ago, so she couldn't help asking cheerfully.

"It's done. There's nothing left to do. Just wait until next month to give a report there!" Wu Tong nodded in confirmation.

(End of this chapter)