Wang Chao brought the two of them to the guesthouse of the University of Science and Technology. Huang Minghai pulled Wang Chao and said, "You will bring us here! Although the school guesthouse is in the school, we can't live there either! Don't you not know the school's regulations on our junior college?"

"Hehe, you'll be careful!" Wang Chao said with a frown beside him.

After saying that, he walked in first.

Huang Minghai and Chen Zhiwen shook their heads and had to follow them.

A few minutes later, Wang Chao got the room card. After entering the room, he said to the two of them: "How is it? You're right to follow me!"

Huang Minghai asked in confusion: "I see that the manager at the front desk knows you, why are you so familiar with here!"

Wang Chao stopped keeping it and said directly: "Isn't it impossible to live in a person when I came back last time? I wasn't allowed to live outside. I thought to myself, don't our school have its own guesthouse? This is considered to be in the school! So later I made friends with the manager here. Although it was stipulated that our junior college can only live in dormitories, it is always possible to be able to make peace occasionally."

Huang Minghai and Chen Zhiwen were also impressed by Wang Chao's social skills.

Wu Zhe's mind was now echoing the words that boss Huang Minghai said: "The Hilbert space problem is not only a problem in the field of physical capacity, but also a mathematical problem."

It was exactly that sentence that exploded in his mind like thunder.

Hilbert space is a direct promotion of Euclid space. The study of Hilbert space and operators acting on Hilbert space is an important part of functional analysis.

The infinite-dimensional Hilbert space is a promotion of the n-dimensional Euclidian space and can be regarded as the "infinite-dimensional Euclidian space". In three-dimensional Euclidian space, an internal product is specified between any two vectors.

The inner product can help people study Hilbert space from a "geometric" perspective and use geometric language in finite dimension space to describe Hilbert space. Among all infinite dimension topological vector spaces, Hilbert space has the best properties and is closest to finite dimension space.

What Wu Zhe is interested in is the topological algorithm inside. Wu Zhe used a lot of mathematical methods to prove the twin prime numbers, but found that they were all dead ends.

But he never thought about using topology algorithms, because this is not a conceptual problem at all. But he told him directly that this is the key he has been looking for.

[Suppose {ek} is a vector with different families in the inner product space H. If any two vectors are orthogonal, that is, when k≠j, (ek,ej)=0, then {ek} is an orthogonal system; if the norm of each vector is 1, that is, for all k, (ek,ek)=1]

【-------】

【x=Σ(x,ek)ek-----】

【-------】

At this moment, Wu Zhe had devoted himself to the proof process and a brainstorm began in his mind.

Time passed without realizing it.

Fortunately, he has been studying mathematical conjectures recently. There are not many other things in the dormitory, but he has prepared enough white paper for him.

It was the next afternoon.

Wu Zhe's face was a little pale, but fortunately his thinking was clear, so he didn't have to use his own brainpower to calculate.

It only takes complicated calculations and turn on the full power.

The previous part of the writing is all expanded from Hilbert's inner component space, and finally turned to the Fourier formula for derivation, and then turned to the most classic screening method.

When Wu Zhe picked up his pen and wrote:

【s(α)=Σane(nα); m,n∈ζ…】

There was a smile on the corner of his mouth.

After this line of calculation, it is the way of light.

【s(2)-(logkx)s(1)>0 is true when k≥2, the array h=…】

【…】

[Therefore, there are infinitely multiple pairs of twin prime numbers.]

Then for all natural numbers k, there are infinitely multiple prime pairs [p, p + 2k].

The twin prime number of K=1 is naturally also true.

By the time he wrote this, Wu Zhe had already solved the Polynac conjecture and the twin prime speculation at the same time.

Wu Zhe felt that it was also correct. If you want to complete the twin prime conjecture, you must solve the Liniac conjecture.

But although this will solve two world-class conjectures, Wu Zhe has no intention of stopping at all.

Take another stack of draft paper casually.

Start writing:] When 2 2 n ? 1 p 2 2 n 2^{2^{n-1}}p2^{2^{n}}2 p="2 n?1 2 n,]

【-------】

【M p M_{p}M p has 2 n ? 1 2^{n}-12 n ?1 are prime numbers】

【----------】

【π M p ( 2 2 n )?π M p ( 2 2 n ? 1 )= 2 n ? 1......( a )\pi_{M_{p}}(2^{2^{n}})-\pi_{M_{p}}(2^{2^{n-1}})=2^{n}-1......(a)π M p (2 2 n )?π M p (2 2 n?1 )=2 n ?1......]

Wu Zhe's thinking was the most active time, and when he used the sieve method, he had an idea about Zhou's conjecture. At this time, the proof process was a huge spill.

First use the sieve method, then use the reverse mathematical induction method. The key is that a large part of the proof of twin prime numbers is also common to the distribution of Mason prime numbers, which saves too much trouble!

Wu Zhe, immersed in mathematical formulas, could not feel the passage of time, nor did he feel tired, but only excitement.

By the afternoon of the third day, Wu Zhe finally finished Zhou's guess.

When Wu Zhe wrote it last

【When n=k+1 is true, 2 k p 22 k + 1 , p 2^{2^{k}}p2^{2^{k+1}},p2 p="2 k 2 k+1 ------]

【 k — 2 k + 1 2^{2^{k}}—2^{2^{k+1}}2 2 k —2 2 k+1 ;】

【----------】

【When 2 2 n p 2 2 n + 1 2^{2^{n}}p2^{2^{n+1}}2 p=""2 n 2 n+1, M p M_{p}M p has 2 n + 1 ? 1 2^{n+1}-12 n+1 ?1 prime numbers】

【When 2^(2^n)＜p＜2^(2^(n+1)), mp has 2^(n+1)-1 prime numbers. And using this as an argument, it is proved that the inference that mp has 2^(n+2)-n-2 prime numbers is true when p2^(2^(n+1)) is true.】

Having written this, Wu Zhe threw away his pen and relaxed all his energy.

Only then did he feel his temples jumping desperately.

My brain feels a little groggy, and I’m hungry and thirsty.

But only he himself knew that he was satisfied.

After looking at the time, it was already the third afternoon. Wu Zhe proved three world-class conjectures in three days, and the efficiency was nowhere to be true, equivalent to one per day.

He rubbed his eyebrows with one hand and took the phone with the other hand to turn on the phone. He was afraid of being disturbed and turned off his phone.

After turning on the computer, he called Wang Chao directly.

Wang Chao is taking the exam now, and this is the last day of the final exam. There are two days left to go on vacation, and Azhe doesn't know what's going on? He hasn't come out for three days and hasn't sent us news. I don't know what's going on with him?

This exam is chemistry. Wang Chao didn't spend his energy on chemistry, but he finished it early. He felt a little bored and lazy.

This person was really careless. When Wang Chao thought of Wu Zhe, his phone shook. He took a secret look. It was Wu Zhe. Wang Chao stood up with a tremor. Just as he felt something was wrong, the invigilator shouted, "Student, what do you want to do?"

Wang Chao reacted very quickly and immediately replied loudly: "Teacher, I'll hand in the paper."
Chapter completed!