The twin prime conjecture was formally proposed by Hilbert at the International Congress of Mathematicians in 1900.

But in fact it has a long history.

It has been discussed countless times in the mathematical community.

Because this problem is so obvious that even elementary school students are likely to find out.

Simply list all the prime numbers up to 100 and you'll find that 3, 5, 7, 11 and 13, 17 and 19...... Further back, 41 and 43, 59 and 61.

The difference between these prime pairs is 2.

And expanding the range to positive infinity, so that prime pairs with a difference of 2 also seem to always be repeated.

The statement of the twin prime conjecture also leads to this: are there infinite pairs of prime numbers with a difference of 2 like this?

This question is interesting and follows the tradition of number theory problems: it is well understood.

It's like a hail conjecture.

Li Mu's mind recalled his past understanding of the twin prime conjecture.

There has been considerable progress in this problem in the current mathematical community, mainly from a paper by Mr. Zhang Yitang in May 2013.

In a very ingenious way, he proved that there are infinitely many pairs of prime numbers with a difference of less than 70 million.

Obviously, 70 million is a large number, but for the twin prime conjecture, this is the first time that it has been shown that there are infinitely many pairs of prime numbers with a spacing less than a fixed value.

This is a major step forward for the twin conjecture.

Therefore, Mr. Zhang Yitang's paper was confirmed to be correct and accepted within three weeks after it was submitted to the Annals of Mathematics.

Because it is definitely a major milestone for the twin prime conjecture, one of the laurels in the world of number theory.

After that, according to Mr. Zhang Yitang's method, the mathematical community continued to shrink the number of 70 million, and finally narrowed it down to the number 246.

At this point, Mr. Zhang Yitang's method seems to have come to an end, and the twin prime conjecture is still an unsolved mystery.

"Can't you go on with the number 246?"

Li Mu thought about it, came to the Internet and began to look for relevant papers.

This number can reach 246, mainly due to Tao Zhexuan and James Maynard's optimization of Zhang Yitang's method.

After that, it seems that the limit can only reach 246.

found the relevant papers, and Li Mu read them from beginning to end.

"Well, this method is an important improvement over the achievements of the G-G-P-Y four, but the degree of improvement does seem to have reached the limit."

I began to think about this method in my heart.

The derivation ability of the third-level mind computer also burst out again, allowing him to think about all the processes and conclusions of this entire paper in a short period of time.

No mathematical approach can be achieved overnight.

They are all based on rigorous derivation.

What Li Mu wants is to think about the derivation process of these methods and find another way.

Perhaps the road he re-embarked on was the Great Avenue.

It was dark from day to night.

Hours passed, and he forgot to eat.

But it turns out that genius thinking always works.

Eventually, with a slight smile on his face, he reached out and took a pen from the stationery bag next to him, and was about to start the calculation on the scratch paper.

But suddenly he thought about it again, then put down the pen in his hand and took out a delicate-looking fountain pen case from his school bag.

From it was taken out the gold cap, the Parker 51 fountain pen with a black body.

Since Professor Wiles gave him this precious pen, let him help it regain its glory.

Then he will not live up to Professor Wiles's entrustment.

So then he began to use this pen to once again pave the way for the final truth to be revealed.

……

The time came to ten o'clock.

The sound of the door lock turning sounded, and Zhang Lei and the three of them walked in together.

They spent a day revising for their upcoming final exams and haven't come back until now.

And after seeing Li Mu inside, the three of them suddenly lit up, and then surrounded them.

Chen Kaiming: "Damn, Brother Li, your defense today is too awesome!" I've seen the videos that people posted. ”

Xu Sheng: "Yes! It's on the hot search again, you are now our top streamer, those traffic stars can't overpower you, I would like to call you the strongest brother in the empire. ”

Zhang Lei directly reached out and grabbed Li Mu's shoulder: "Giegie! Even the graduation defense is so handsome! Even the academician boss wants to rob you! If I let them know that I'm sitting next to you right now, with my arms around you, they won't be angry, will they? ”

Hearing this last sentence, Li Mu felt a chill.

Close the pen in your hand.

By the way, I put away the draft again.

Today's thinking is over anyway.

Let's clean up this disgusting guy first.

Then he backhanded Zhang Lei next to him and set him up.

"I'll give you giegie, let you giegie."

"Ah~" Zhang Lei screamed.

Then Li Mu turned his head and looked at Xu Sheng next to him.

"I'll let you call brother, I'll let you call brother."

Xu Sheng also immediately cried.

After the two are cleaned up, you turn your head to look at the remaining Chen Kaiming.

Chen Kaiming swallowed his saliva, "I didn't say anything just now, I was normal just now." ”

Li Mu rubbed his wrist: "Forget it, let's clean it up together." ”

"Ah......h

Eventually, the three of them rubbed their old waists and groaned.

"Tyrant, tyrant, brothers will never call you Brother Li again in the future."

And Li Mu just raised his eyebrows and said, "Then what if I invite you to eat barbecue now?" ”

The three men, who were still moaning, suddenly stood up.

"Master Li, let's go now?"

Li Mu smiled, "Let's go now!" ”

He hasn't eaten dinner yet, and today's defense is completely over, and his undergraduate career has ended one step ahead of his roommates.

Everyone should also be invited to a meal.

In this way, the four roommates, on this night, had a good barbecue.

Anyway, Li Mu said that he could eat thousands of dollars casually.

Thousands of dollars are used to invite girls to eat high-end Western food, and they can probably only get a thank you and a good person card.

But if you want to take a thousand dollars to invite your brothers to dinner, or eat barbecue, your brothers can remember you for a lifetime.

If someone called Li Mu "Xiao Li" at this time, probably all three of them would be able to hit him with big ears.

What Xiao Li, this is my Brother Li.

So that night, Li Mu was gradually lost in the sound of "Brother Li" and "Master Li...... Ahem, gradually passed.

……

Time passed quietly.

Li Mu finally decided on the twin prime conjecture as his next goal.

And after Wu Mengyuan learned about it, although he was surprised, he didn't say anything.

Probably judging from Li Mu's ability, it was not surprising that he chose anything.

In this way, July 15 arrived, and the graduation ceremony also arrived as scheduled.

(End of chapter)