The top-notch movie queen wears books, disguises herself as a man and is handsome all over the world

The old foreign professor at the lecture proposed that twin primes are a directional missing term detection of the existence of prime numbers, and Goldbach's conjecture is a non-directional missing term detection of prime numbers. Will prime numbers always exist in a specific area after missing terms?

The old professor's answer is: yes.

The scope of twin prime numbers is different from Goldbach's conjecture. Twin prime numbers mean that within the infinitely extending range of natural numbers, there will always be twin prime arrays; Goldbach's conjecture means that every even number greater than 6 has a prime number pair.

Why twin prime numbers and Goldbach's conjecture always hold true is actually very simple: because prime numbers are integers that cannot be divided by prime factors.

Now that Goldbach's conjecture has been proven, what about the twin prime conjecture?

He Qian yawned greatly. Her foreign language was okay, but there were too many academic words in the lecture, which she couldn't understand and made her drowsy.

Chen Shaochuan also had difficulty listening. When the old professor mentioned the dislocation method, he frowned and finally couldn't help but whisper to Qin Jingyu who was listening with interest.

"What is the dislocation method he is talking about?"

The voice pulled Qin Jingyu back from his thoughts in the lecture.

Qin Jingyu whispered back: "The dislocation method determines that prime numbers will always exist, and the prime factors are 2, 3, 5, 7, 11,..., r. From a simple phenomenon: within r, except for the natural number 1, all Passene factor 2..."

Chen Shaochuan frowned, "So, they are new prime numbers greater than 11 in this area?"

Qin Jingyu nodded, "That's what the old professor means."

Chen Shaochuan seemed to understand everything, but he could still only understand a little bit of the mystery. There were students in the audience asking questions, and the questions they asked were almost the same as what Chen Shaochuan said. Goldbach and the twin prime number conjecture are two profound things. The problem.

But now that Goldbach's conjecture has been proven, more attention has naturally shifted to the twin prime conjecture.

What if one day they are the ones who prove the twin prime conjecture?

In fact, the dislocation method mentioned by the old professor involves the simplification of removing single digits and the screening method without single digits.

Sure enough, the next second, I heard the old professor say: "The traditional sieving method sieves multiples of prime numbers and gets prime numbers. This method sieves multiples of natural numbers and also gets prime numbers..."

However, this method does not find the specific numbers of pairs of twin prime numbers, but obtains countless arithmetic sequences composed of composite numbers formed by composite formulas without units.

The audience fell into a discussion.

At this time, Ethan next to Qin Jingyu suddenly raised his hand. After seeing it, the old professor on the stage called him by name and said kindly: "This classmate, do you have any questions?"

Someone handed over the microphone, and everyone's eyes were focused on Ethan. He was not afraid at all and asked: "Can we prove the twin prime conjecture by using these arithmetic sequence and the principle of inclusion and exclusion?" "

When the old professor heard this, he laughed: "It's great that you can actually react to the principle of tolerance and rejection. Which department are you from?"

Ethan: "I'm sorry, Professor, I'm not a student at Princeton University. I'm just a contestant here to compete. I happened to come across your lecture, so I came to listen."

When the people below heard this, they all started talking. They were not students of their school, so no wonder they would ask such a ridiculous question.

If twin primes were really that easy to prove using the inclusion-exclusion principle, everyone here would be able to figure it out.

The old professor sternly reprimanded: "Quiet. As long as students are interested in twin prime numbers and Goldbach's conjecture, whether you are on campus or off campus, you are welcome to come and observe."

After a pause, and after it was quiet, the old professor continued: "Now let me answer the question you just asked. The principle of inclusion and exclusion is to obtain the number of different elements in many sets based on the different properties. And there is no units... "

"Classmate, let's assume a question."

Ethan: "Professor, please speak."

老教授慢慢道：“如果我们设1-N区间存在着K1个等差数列，用容斥原理计算1-N区间各个等差数列中的不同元素个数及不是计算结果的孪生素数个数M1。暂时不需要得到M1的具体数值。当计算(N+1)-2N之间不属于计算结果的孪生素数个数M2时，我们会发现什么？”

Ethan frowned and held the microphone but didn't speak for a long time.

The old professor did not embarrass him, but looked at the others: "Can anyone answer it?"

After the words fell, everyone fell into deep thought, including Chen Shaochuan and He Qian, who said, "Oh my God, she shouldn't have come to this lecture."

Just when Ethan was puzzled, a small reminder suddenly came from his ears, "You will find that the conditions we use are exactly the same as those used to calculate M1..."

He looked down and saw that he was a player from the banned team of China. He was lowering his head, covering his mouth and nose, and reminded him in a low voice. It seemed that he couldn't notice it. It was this young boy who was reminding him.

Ethan couldn't help but be stunned.

Seeing that no one could answer, the old professor shook his head sadly, "It seems that none of you know..."

Just when he felt pity, Ethan suddenly pointed to the people around him and said, "Old professor, the people around me know the answer."

Qin Jingyu, who was reminding people, suddenly raised his head and looked at Ethan: "..."

Good guy, she kindly reminded him, he was actually sold!

I saw Ethan showing a sly smile.

Qin Jingyu: "???"

The old professor looked at Qin Jingyu, who seemed to be trying to be a coward in the audience, "Since this classmate knows, can you please stand up and answer?"

His eyes focused on Qin Jingyu again.

"Chinese?"

"It's an oriental face."

"If such a young child can really do it, I'm afraid he's not trying to please others, right?"

"Their Chinese country just loves face, hahaha."

The buzzing chatter even woke up He Qian from her drowsiness. What's going on?

Qin Jingyu couldn't help but frown when he heard some people's comments about Hua Guo. They were also wearing Hua Guo's team uniforms, Hua Guo's red and flag, so they were so recognizable.

If you can't answer it, you will really be embarrassing the Chinese people in the lecture at Princeton University.

He Qian and Chen Shaochuan both looked at Qin Jingyu worriedly and wanted to say, why don't they stop being so strong?

Qin Jingyu stood up and calmly took the microphone handed over by Ethan.

He said calmly: "Returning to the professor's question just now, you will find that the conditions we used are exactly the same as those used to calculate M1. Each arithmetic sequence is an arithmetic sequence extending from 0-N... The calculation result is M1≈M2.”

While listening, the old professor nodded happily and said: "Assume that P is the largest twin prime number among natural numbers, and use M1 to represent the number of twin primes in P. According to this assumption, the number of twin primes in the interval (P+1)-2P is M2 =0…”

Qin Jingyu shook his head, "Professor, the hypothesis you mentioned is not valid."

As soon as he finished speaking, the whole place was in an uproar.