Chapter 55 Number Theory

"Whenever you want to go out and relax, tell the teacher in advance. The teacher will arrange a tour guide for you to walk around Shangjing and have a quick meal at the teacher's house!" Thinking that Wu Tong had just arrived in Shangjing and was unfamiliar with the place, Li Yishen specifically invited him.

The children treat her as their teacher, so as a teacher, he should consider the children more carefully. He can't stay in school all the time, going out can also change his mind.

"The teacher has a monkey at home who can't stay at home during holidays." This is a good opportunity for the brat to have more contact with Wu Tong and also to be influenced by the other person's talent.

He has a bachelor's and master's degree from Peking University, a doctorate from Stanford University, and his wife has a doctorate in economics from Stanford University. They are both top students, if not geniuses. But they only have one son, and he didn't inherit much of their excellent genes.

He has never solved a conjecture in the mathematical world, and there is a kid at home who can't solve it. Sometimes I feel so frustrated when I think about it. Life is hard!

It is only when I see these talented children that I feel that there is still hope in this world!

"You've been tired all day, go to bed early. Call me if you have anything, we'll see you later!" Winter was not far away yet, and it was getting dark early. After Li Yishen gave Wu Tong instructions, he left the dormitory building first.

After seeing Professor Li off, Wu Tong called home and chatted for a while, and sorted his luggage at the same time.

Teacher Jin Yu pointed out to Wu Tong the things to pay attention to when living independently, from eating, to dressing, to traveling... Since the child was not around, she wanted to tell Wu Tong everything she could think of.

The words that seemed endless nagging in her previous life, now when she heard them in a different situation, Wu Tong felt that no matter how heartwarming it was, she was no longer willing to bear the sorrow of wanting to take care of her parents but they were no longer there.

As he had just arrived, Wu Tong didn't do much. He just familiarized himself with the environment and then took a rest.

The next morning, Wu Tong started his morning exercises on his small balcony before the sun rose as usual.

Her dormitory is in a good location. The small balcony is facing the sun and is not blocked by the dormitory building in front. It has a wide view and can also be exposed to the rising sun.

After a few months of rest, she has deeply experienced the mystery and benefits of Chaoyang Ziqi Fa. Her physical condition is getting better and better, and her complexion is healthy from the inside out. She is full of energy. No matter how hard she tries, she never loses energy. Her hair is still black, thick, and silky...

Another thing is that her strength is also increasing. Wu Tong has not measured it specifically, but with her current sensitivity to numbers, a weight of more than 100 kilograms is not a heavy burden in her hands.

She had secretly tried it before, and was able to lift up the sleeping Jin Xin with one hand, without much effort. Jin Xin was 1.86 meters tall and weighed about 150 to 160 pounds. It had to be said that this was a magical discovery, and also a very useful hidden skill for self-protection.

At six o'clock, the sun had completely risen. Wu Tong washed up, changed his clothes, and went to the cafeteria for breakfast. Not familiar with the food at Peking University, Wu Tong ordered two steamed buns and a cup of five-grain soy milk, which should be the most basic combination.

After breakfast, Wu Tong went directly to the Peking University Library. Teacher Li had told her the exact location yesterday and also gave her a library card. She could choose to study in the library or borrow books to take back to the dormitory.

Walking on the roads of Peking University in winter, Wu Tong did not have much artistic talent as a poet. He casually browsed the surrounding environment, more to learn the way and get familiar with the environment.

The route that Teacher Li gave was very clear. Wu Tong followed the signs and stepped into the huge Peking University Library. The size, facilities, quantity and quality of books in the Peking University Library were all eye-opening for Wu Tong, who came from a poor little county.

There is a rich collection of books here, which are categorized and clearly indicated, and there is also a dedicated study area.

With abundant resources and comfortable conditions, Wu Tong found the mathematics classification area, where there were comprehensive research teaching materials, various mathematics professional books and various thesis manuscripts. She found the target book, found a seat nearby and started her study. She was so happy!

For Wu Tong, who became increasingly obsessed with mathematics, this place was like a divine treasure.

Wu Tong officially began her study life at Peking University, going between the library, the cafeteria and the dormitory without leaving the campus.

The administrators of the Peking University Library all became familiar with Wu Tong.

She doesn't necessarily go to the library every day, but every time she goes to the library early, looks for the target book, studies and deduce in the self-study area until noon, checks out the book, goes back to eat and goes back to the dormitory to continue her study. She studies and researches in the dormitory first, studies the book or paper in hand thoroughly, then goes to the library to borrow new books, and studies in the self-study area until the library closes.

Wu Tong was so absorbed in his work that he had no time to pay attention to the outside world. Usually, he would only realize that the museum was closing time when the administrator reminded him.

The librarians on duty couldn't help but sigh that they had been working as librarians for so many years, and it was rare to find someone as obsessed with learning as Wu Tong in Peking University, which was full of talented people.

And any teacher and student who is in such a state of near-madness, if they are not studying hard, will not be unknown. And where are they, it is Beijing University, a place full of geniuses, and studying hard is a rare state here.

Time passed quietly, and Wu Tong's daily study life cycle was routine. She absorbed these rich knowledge resources like a sponge absorbing water. Her mathematical knowledge tree was also expanding and filling rapidly.

Wu Tong's eyes became more profound as he studied, and that was the wisdom of knowledge.

It is the Podgnak conjecture that for all natural numbers k, there are infinite pairs of prime numbers (p, p + 2k). When k = 1, it is the twin prime conjecture.

Wu Tong wrote down a few lines of formulas on the draft paper.

Let y be the yth prime number, P(y) be the value of the yth prime number, and P(y)^2 be the square of the prime number. This means that the range of prime numbers can be directly determined if it is less than or equal to this prime number.

P(y)^2-P(y-1)^2P(y)=11,

P(y)^2=121L(5)=(1/2)*(2/3)*(4/5)*(6/7)*(10/11)=16/77U(5)=(1/2)*(1/3)*(3/5)*(5/7)*(9/11)=27/154P(5)^2-P(5-1)^2=72

The world of mathematics is vast and boundless. As she delved deeper into it, she first came across number theory.

Number theory is a very magical field that has fascinated many people.

The threshold for entry is very low, and many formulas and theorems can be understood by junior high school students. Countless amateur scientists have been born there. Every year, the number of letters written to the Chinese Academy of Sciences about the famous Goldbach conjecture almost overwhelms the Chinese Academy of Sciences.

Amateur scientists all think they have proved the world's most difficult problems, the ultimate conjectures, and their talents are not appreciated! But unfortunately, their knowledge is not enough to pass even the entry-level verification questions of the Chinese Academy of Sciences.

It can be seen that number theory is an area that requires extremely high talent. The reality is cruel, and without a solid foundation and outstanding talent, it is basically impossible to achieve anything in this field!