Although 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 obvious, even elementary school students may find it.
Simply list all the prime numbers within 100, and you will find that 3, 5, 7, 11 and 13, 17 and 19... Looking further back, 41 and 43, 59 and 61.
The difference between these pairs of prime numbers is 2.
And expand the range to positive infinity, so that pairs of prime numbers with a difference of 2 always seem to appear repeatedly.
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 very interesting, and it also inherits the consistent tradition of number theory questions: it is easy to understand.
It's like a hailstorm.
Li Mu mentally recalled his past understanding of the twin prime conjecture.
This problem has made considerable progress in the current mathematics community, mainly stemming from a paper written by Mr. Zhang Yitang in May 2013.
He used a very clever method to prove that there are infinite pairs of prime numbers whose difference is less than 70 million.
Obviously, 70 million is a big number, but for the twin prime number conjecture, this is the first time someone has proven that there are infinite pairs of prime numbers with a distance smaller than a fixed value.
This is a major advance 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 Annual Journal of Mathematics.
Because for the twin prime conjecture, one of the crown jewels in number theory, it is definitely a major milestone.
After that, the mathematical community continued to shrink the number 70 million based on Mr. Zhang Yitang's method, and finally reduced it 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 we continue when we reach the number 246?"
Li Mu thought about it and went to the Internet to search for relevant papers.
This number can reach 246, mainly due to Terence Tao and James Maynard's optimization of Zhang Yitang's method.
After that, the limit seems to be only 246.
After finding the relevant paper, Li Mu read it from beginning to end.
"Well, this method is an important improvement on the results of the four people of GGPY, but the degree of improvement seems to have reached the limit."
I began to think about this method in my heart.
The derivation ability of the third-level mental computer also exploded again, allowing him to think about all the processes and conclusions of the entire paper in a short period of time.
No mathematical method can be achieved overnight.
They are all obtained based on strict derivation.
What Li Mu wanted to do was to think more about the derivation process of these methods and find another way.
Maybe the road he takes out again is the broad avenue.
The sky turned from day to night.
Several hours passed and he even forgot to eat.
But it turns out that genius’ thinking always works.
Finally, with a slight smile on his face, he stretched out his hand, found a pen from the stationery bag next to him, and started to calculate on the scratch paper.
But suddenly he thought again, then put down the pen in his hand, and took out a very delicate-looking pen box from his school bag.
I took out the Parker 51 fountain pen with a gold cap and black body.
Since Professor Wiles gave him this precious pen, let him help the pen regain its glory.
Then he will not disappoint Professor Wiles's instructions.
Then, he began to use this pen to pave the way for the final truth to be revealed again.
…
The time came to ten o'clock.
The sound of the door lock turning sounded, and Zhang Lei and three others walked in together.
They had spent the day studying for their upcoming final exams and hadn't returned until now.
After seeing Li Mu inside, the three people's eyes immediately lit up, and then they surrounded him.
Chen Kaiming: "Damn, Brother Li, your defense today was so awesome! I've even seen the video that others posted."
Xu Sheng: "Yeah! It's on the hot search again. You are now our top one. Those traffic stars can't beat you. I would like to call you the strongest brother in the empire."
Zhang Lei directly put his arm around Li Mu's shoulders: "giegie! You're so handsome even for your graduation defense! Even the big academicians want to steal you! If they know that I'm sitting next to you now and still holding you in my arms, they won't be angry, right? ?”
Hearing this last sentence, Li Mu felt a chill.
Close the pen in your hand.
By the way, I collected the draft again.
Today’s train of thought has come to an end anyway.
Let's deal with this disgusting guy first.
Then he lifted up Zhang Lei next to him with his backhand.
"I let you giegie, let you giegie."
"Ah~" Zhang Lei screamed.
Then Li Mu turned to look at Xu Sheng next to him.
"I let you call me brother, I let you call me brother."
Xu Sheng also burst into tears immediately.
After both of you finished cleaning up, you turned to look at the remaining Chen Kaiming.
Chen Kaiming swallowed, "I didn't say anything just now. I was just normal."
Li Mu rubbed his wrist: "Forget it, let's clean it up together."
"ah……"
Finally, the three of them rubbed their waists and moaned.
"Tyrant, tyrant, my brothers will never call you Brother Li again."
But Li Mu just raised his eyebrows and said, "What if I invite you to barbecue now?"
The three people who were still moaning immediately stood up.
"Master Li, let's leave now?"
Li Mu smiled and said, "Leave now!"
He hasn't eaten dinner yet, and today's defense is completely over. His undergraduate career has ended before his roommates.
You should also treat everyone to a meal.
In this way, the four roommates had a great time eating barbecue on this night.
Anyway, Li Mu said that he could eat whatever he wanted with a thousand yuan.
Spending a thousand yuan to treat a girl to high-end Western food will probably only get you a thank you and a good person card.
But if you spend a thousand yuan to treat your brothers to dinner or barbecue, your brothers will remember you for a lifetime.
If someone called Li Mu "Xiao Li" at this time, probably three of them would be able to beat him up.
What Xiao Li? This is my brother Li.
So that night, Li Mu gradually lost himself in the repeated calls of "Brother Li" and "Master Li"... Ahem, it gradually passed.
…
Time passed quietly.
Li Mu finally determined the twin prime number conjecture as his next goal.
After Wu Mengyuan learned about it, although he was surprised, he didn't say anything.
Judging from Li Mu's ability, it is not surprising that he chose anything.
Just like that, July 15th arrived, and the graduation ceremony came as scheduled.
(End of chapter)
