"Kim Jae-ho, are you doing this a little too much?" Li Gangyu said.

"How did I go too far? I feel like I'm fine now? Don't you know what twin primes are? Let me tell you.

A twin prime is a pair of prime numbers that differ by 2, such as 3 and 5, 5 and 7, 11 and 13, etc. This conjecture was formally formulated by Hilbert in the report of the International Congress of Mathematicians in 1900, question 8, and can be described as follows:

There are infinitely many prime numbers p, such that p+2 is prime.

A pair of prime numbers (p,p+2) is called a twin prime.

In 1849, Alfon de Polliniac proposed a general conjecture that there are infinitely many pairs of prime numbers (p, p+2k) for all natural numbers k. The case of k = 1 is the twin prime conjecture.

The twin prime conjecture is a well-known unsolved problem in number theory.

This conjecture has been around for a long time, and in the famous report of the International Congress of Mathematicians in 1900, the mathematician Hilbert ranked it as the eighth of the 23 "Hilbert problems", which can be described as "there are infinitely many prime numbers p, and for each p, there is a number p+2 that is also prime". ”

"Hmph, I don't need you to explain, I know what twin primes are. Li Gangyu said.

He was angry, and said sternly to Guo Xiaomei and the others beside him: "What do you see, it's all a good thing you did, hurry up, don't be embarrassed here." ”

reprimanded like this on stage, what happened offstage can be imagined.

Guo Xiaomei looked at the people around her sadly, and she felt that her sky had collapsed.

She looked at the crowd a little helplessly.

She felt that the audience was accusing her.

You can imagine the swearing of parents, the disappointed eyes of teachers, and the gloating expressions of classmates.

None of this was something her young mind should be able to bear.

Li Dabao sat under the stage, surrounded by many plainclothes to protect his safety at all times.

He still knows something about this twin prime.

A twin prime is a pair of primes that are 2 apart. For example, 3 and 5, 5 and 7, 11 and 13,... , 10016957 and 10016959 and so on are twin primes.

The prime number theorem illustrates the tendency of prime numbers to become scarce as they tend to infinity. Twin primes, on the other hand, have the same tendency, and this tendency is more pronounced than primes.

Due to the high popularity of the twin prime conjecture and its connection to Goldbach's conjecture, there are constantly attempts by mathematics enthusiasts outside the academic community to prove it. Some claim to have proven the twin prime conjecture.

However, there has yet been a proof that can pass the scrutiny of professional mathematicians.

In 1849, Polygnac proposed a more general conjecture: for all natural numbers k, there are infinitely many pairs of prime numbers (p, p+2k). The case of k = 1 is the twin prime conjecture. A pair of prime numbers (p,p+2) is called a twin prime.

Mathematicians believe this conjecture is true.

Prime numbers—those numbers whose factors are their own except 1—are like the atoms of algebra. Ever since Euclid, who proved 2,000 years ago that there are infinitely many primes, they have fascinated countless mathematicians.

Because prime numbers are fundamentally related to multiplication, it becomes difficult to understand their addition-related properties.

Some of the oldest unsolved mysteries in mathematics are related to prime numbers and addition, one of which is the twin prime conjecture – the existence of an infinite number of pairs of primes with a difference of 2. The other is Goldbach's conjecture, which proposes that all even numbers can be expressed as the sum of two prime numbers.

There are a large number of primes at the beginning of the natural sequence, but as the numbers get larger, they become rarer.

For example, in the first 10 natural numbers, 40% are prime—2, 3, 5, and 7—but only 4% of all 10 digits are prime. Over the past century, mathematicians have mastered the law of decreasing primes: in large numbers, the interval between even primes is about 2.3 times the number of digits.

For example, in a 100-digit number, the average interval between two prime numbers is about 230.

But that's just on average. Prime numbers are often more closely together or farther apart than expected on average. Specifically, "twin" primes are usually clustered together, such as 3 and 5 and 11 and 13, and their difference is only 2. In large numbers, twin primes never seem to disappear completely (the largest twin primes found so far are 3,756,801,695,685×2666,669-1 and 3,756,801,695,685×2666,669+1).

In 1849, the French mathematician Alfon-Polliniac proposed the "Polliniac conjecture": for all natural numbers k, there are infinitely many pairs of prime numbers (p, p+2k). When k is equal to 1, it is the twin prime conjecture, and when k is equal to other natural numbers, it is called the weak twin prime conjecture (i.e., a weakened version of the twin prime conjecture). Therefore, some people have put Polygnac as the proposer of the twin prime conjecture.

Since then, the intrinsic attraction of these conjectures has given them the title of the Holy Grail of mathematics, although they may not have practical application.

Although many mathematicians have tried to prove this conjecture, they cannot rule out the possibility that the interval between prime numbers will grow all the time and eventually exceed a certain upper limit.

In 1921, British mathematicians Godfrey Hardy and John Littlewood proposed a conjecture similar to the Polliniac conjecture, commonly known as the "Hardy-Littlewood conjecture" or the "strong twin prime conjecture" (i.e., an enhanced version of the twin prime conjecture).

This conjecture not only proposes that there are infinitely many pairs of twin primes, but also gives their asymptotic distribution.

In May 2013, Zhang Yitang made a breakthrough in the study of twin primes, in which he proved a weakened form of the twin prime conjecture. In his latest study, Zhang Yitang discovered the existence of infinitely many pairs of prime numbers with a difference of less than 70 million without relying on unproven inferences, thus taking a big step forward on the important problem of twin prime conjecture.

Zhang Yitang's paper was published on the Internet on May 14 and officially published on May 21. On May 28, this constant dropped to 60 million. Just two days later, on May 31, it dropped to 42 million. Three days later, on June 2, it was 13 million. The next day, 5 million. June 5, 400,000.

In the "Polymath" project initiated by British mathematician Tim Gowers and others, the twin prime problem has become a model of cooperation among mathematicians around the world using networks. The continuous improvement of Zhang Yitang's proof has further narrowed the distance between the final solution of the twin prime conjecture. In February 2014, Zhang Yitang's 70 million had been reduced to 246.

A set of non-negative integers that are not different from each other H={h1,... ,hk}, if the remainder class obtained by dividing p by p for any prime number p,H is less than p, then defining the set H is acceptable.

If it is proved that there are infinitely many n, such that {n+h1,... , n+hk}, then we can deduce: there are infinitely many pairs of primes, and the difference between the two primes in each pair is less than hk-h1.

In particular, H={0,2} is acceptable, and if the conclusion can be proved on it, then the twin prime conjecture is solved.

Clearly, South Korea's proof was wrong.

However, Li Dabao didn't want to bother with this matter.

Especially people like Li Guoyu.

However, he was still a little worried about that Guo Xiaomei, and he was really afraid that she would not be able to bear it.

She was still just a child and should not have to bear so much.

"The exciting competition is over, and now it's time to draw the lucky audience, who will have the opportunity to take a photo with the mathematicians and express their opinions.

Then you can move on to the most competitive part. ”

"The numbers on the big screen start rolling, and now I say stop, and then it's going to stop, but who's the lucky audience? The host said with a smile still on his face.

"Stop. ”

"Two hundred and fifty. ”

"Who is two hundred and five, hurry up, you have won the lottery, and you have become the only lucky spectator of this year. The host said enthusiastically.

"I, I, it's me, I didn't expect to win the lottery? Dude, my luck has always been so good? I'm better than everyone else. Li Dabao jumped up happily and said.

Everyone in the backstage is in a circle.

"Two hundred and fifty, isn't it a woman's? Where did that woman go? How did a man come up? This is a global live broadcast, if something really happens, none of us can afford it. ”

Those plainclothes have a bit of a headache for Li Dabao's behavior, this guy is really too good at tossing.

Li Dabao went up, grabbed the microphone directly and said happily to everyone: "If people are lucky, they can do anything, and they can get a chance to get rewards by listening to songs casually."

I'm glad to be able to meet you under these circumstances, and I'm sure you all may already recognize who I am, right? I'm Li Dabao, the smartest mathematician in China, the winner of the Fields Medal in Mathematics, and the screenwriter of "When Happiness Knocks on the Door."

I don't think it's fair for this competition, and I don't think everyone seems to understand what the competition is for.

Is it to compete for this honor.

No, I think it's to be able to foster interest in mathematics.

But what did I see for today's game?

It's blaming, it's complaining, it's not supposed to be in the game at all. ”

"Mom, this guy is really Bao Ye, Bao Ye is really alive. ”

"Woo woo, it's so touching, Bao Ye is still alive. ”

"I knew he wasn't going to die that easily. ”

Li Fei'er didn't even admit that he was Li Dabao, if he could explain this math problem, it would mean that he was definitely a treasure.

If Li Fei'er doesn't want to return Dabao Studio to him, it is a bit unreasonable in any way. ”

"Master Bao, explain this topic to us. Scold them harshly, don't let them pretend to be in front of your old man. ”

"Bao Ye, take out your domineering aura and suppress their arrogance. ”

"Who the hell is this guy?"

"Oh, I rub it, you don't even know who this guy is? Are you still not a math enthusiast? Li Dabao, the winner of the Fields Medal in Mathematics. ”

"No, didn't you burp some time ago?

"Master Bao, this is a catastrophe, if you don't die, there will be blessings. ”

The director team is completely blindfolded, who is not good to come up?

Be sure to pay attention today and don't let anything happen.

After all, this guy is notoriously troublemaker.

This session will be held in Huaxia, don't smash it in his hands.

The director motioned to the host and quickly withdrew the topic.

"Bao Ye, do you have any thoughts on this math friendship league?"

"I don't have any opinions, but I have some opinions, I don't know if I can put forward my opinions?" Li Dabao said with a smile.

"Absolutely. You are a senior in the field of mathematics, and of course you have the most voice. The host said with a smile.

"I think it's a failure. The organizing committee still has a lot to improve, don't make separate questions, this is a huge loophole, why not work together?

And South Korea's performance has also been quite disappointing.

You're late for such an important game, are you stupid to eat kimchi?

Also come up with a question of what twin primes, you are a friendly exchange game, and you can't win by being clever.

Even if you win, does this win really make sense?

I don't think you will use it next year, just give you the first place, and our three countries will continue to compete, okay? We are just competing for the second, third, and fourth places. Li Dabao shook his head and said.

Kim Jae-ho picked up the microphone and said contemptuously: "What about people like you in Huaxia? Who are you? Do you know what you are doing? You are sowing discord, which will affect the relations between the two countries, and can you even afford to cause a war?"

Li Dabao said with a smile: "Can you really cause a war between China and South Korea if you die? I don't think so, your Korean nation won't just survive by fighting for the first place, right?"

A few years ago, when you were in the penultimate place, you didn't necessarily start a war.

You're just quick to talk. ”

"You ....... ”

"And Li Gangyu, look at your sharp eyes, do you really think it is interesting to reprimand a middle school student? Have you not made a mistake? Everyone can make mistakes, you see, when people make mistakes, your face is like a dead parent.

How can you teach scientists like this, and I think it's their greatest misfortune to have you to lead the team.

Such an ugly face is really disgusting and wants to vomit. Li Dabao scolded.

"I'll rub, who wants to say that this person is not Bao Ye now, I'm the first to be anxious with him, absolute Bao Ye, except for the first stunned Qing in Huaxia, absolutely no one dares to scold people on the international live broadcast. ”

"Seeing Bao Ye scolding, I have an inexplicable excitement, what the hell is wrong with me? Am I sick?"

"Guo Xiaomei is so cute, she was scolded by that guy and her face turned pale, it's so hateful. ”

"Guo Xiaomei must be a lovely big beauty when she grows up. ”

"It's really relieving, this guy just owes a scolding. ”