"Now for the second sieve, we can easily restrict the variable h to a position within the binary range, which can avoid conflicts with the interval [x1/η, x1/+η]."
"I don't think so. I think we should prioritize remembering ξ(h)=1 now. If (h, Π1) is equal to 1, ξ(h) is equal to 0."
"Didn't you find that what you said is true when h ≤ x^1/4? It is obvious that for larger h, we need to use a simple basic lemma screen to select a value that satisfies (h, Π1) = 1."
"Well... what you said makes sense, but how should we use it?"
"Wow, you didn't consider using your classification sieve? Instead, you used such a basic sieve method?"
"Classification screens are not necessary, they should come into play when they should come into play... For this part, we only need to use the w(x)=(loglogx)^2 and z2 given previously, and then, if h < x1/4, then define ξ0(h)=ξ(h)..."
"..."
In a professor's office at UCLA, UCLA, Mathematics Department, three people were standing in front of the blackboard having a heated discussion.
Outside the office window, many young students from UCLA were standing, watching the scene inside.
Most of their eyes showed excitement, especially when they looked at the youngest of the three, they showed an expression of admiration.
"Look! That's Xiao Yi! The prover of Twin Prime Conjecture!"
"I've seen him online before, but now I see him in person. Isn't he too young?"
"I heard that he is only 17 years old now, and he will not turn 18 until after his birthday this year!"
"Just like Professor Tao back then!"
"Yes!"
There were whispers among the students.
Yes, the office they are surrounding now is Terence Tao's office.
The three people in the office are also Terence Tao, Maynard, and Xiao Yi.
In the past, these students would naturally not gather here. Although Terence Tao is the only Fields Medal winner at UCLA, seeing him every day naturally would not be too rare.
But today is different, because Xiao Yi is here.
They are all young people and students, and they are all top students who can enter UCLA.
However, I thought that a few days ago, this boy who was the same age as them, or even a few years younger than them, stood in front of more than a thousand people, including a lot of Fields Medal, Wolf Prize winners, etc., and finally proved a world-class mathematical problem.
A blackboard and a pen.
It received cheers and applause from all over the world.
In the eyes of young people like them Mathematics Department, this is really cool!
"Look, when Xiao Yi was writing on the blackboard, even Professor Tao didn't speak, and the same was true for Professor Maynard from Oxford University."
"Can you understand what they are writing?"
"I can't understand it at all."
"Is this proof of Twin Prime Conjecture?"
"Who knows?"
To these students, what is written on the blackboard is like a holy book.
After all, these things are completely different from what the teacher taught in class.
Maybe they don't even understand it in class.
At this moment, a voice came from behind them. "Children, what are you doing?"
These young students turned their heads and looked around, and immediately shouted, "Professor Kleinrock!"
Leonard Kleinrock, the top expert of UCLA Computer Science Department, even has the title of Father of the Internet in the entire computer field, because in history, it was he who presided over an experiment for the first time, which enabled the exchange of data between two computers. Since then, computers have officially entered the network age.
Although he is 85 years old this year, probably because he is still in good health, he has stayed in the school to teach.
Of course, it was not because of his great fame that the students present who were not from the computer science department could recognize him. After all, it is not possible to know all the big guys in the school in one school. It was mainly because Professor Kleinrock often visited Terence Tao recently.
Probably you have some problem and want to ask Terence Tao for help.
"Professor Tao is working on a research project with Professor Maynard of Oxford University and Xiao Yi."
"Professor Maynard? And Xiao Yi?"
Kleinrock thought about it for a moment, and then said in surprise, "Xiao Yi is the Chinese genius who just proved Twin Prime Conjecture a few days ago?"
"Yes!" The students nodded.
Kleinrock looked at Xiao Yi inside, then nodded and said, "I really didn't expect that Professor Tao actually brought him here."
"Well... yes, Cole Algebra Prize will be awarded at the end of the month, so this young man came over. It just so happens that the award meeting will also be held in California."
When the surrounding students heard this, they looked at Xiao Yi with even more admiration.
The proof of the twin dormitory conjecture is indeed awesome, but for young students like them, being able to win an award like Cole Algebra Prize is something that can be felt.
While they were talking outside the office, the discussion inside the office gradually died down.
Terence Tao crossed his arms and said, "Well... our next goal is to prove a universal estimation method."
"Yes." Maynard nodded. "The factor whose length is less than x^1/4 can be regarded as a key proposition in the whole process."
Then the two people turned to look at Xiao Yi at the same time. "Hey, Xiao Yi, do you have any ideas?"
Xiao Yi held his right arm with his left hand and his chin with his right hand. After thinking for a moment, he said, "Suppose we divide the factors of D(s) into three groups, so that..."
He wrote on the blackboard: [D(s)=P1(s)...Pt(s)F1(s)...Fk(s)=A(s)B(s)C(s).]
"This way."
Terence Tao After thinking for a moment, he said, "It's feasible."
"But then there will be some trouble."
They fell silent, thinking in their minds, but it was obvious that they had encountered a problem that was difficult to deal with, and they could not figure out a solution so quickly for the time being.
Finally, Terence Tao clapped his hands and said, "Then let's stop the discussion today. Anyway, we have achieved a lot of results from our discussion today, especially Xiao Yi. Hey, you brought us a surprise."
Maynard also nodded in agreement, smiled and patted Xiao Yi on the shoulder, "Sure enough, inviting you to join our project is the most correct decision."
Xiao Yi scratched his head shyly, "I just made a small contribution."
"Are you kidding..." Maynard disagreed.
Xiao Yi's achievements are called small contributions, so don't they have almost no contribution?
At this time, Terence Tao turned his eyes to the window, and then said in surprise, "Professor Kleinrock! Why are you here?"
They turned to look out the window, only to find that a group of young students and an old professor had gathered outside the window.
Kleinrock waved to them and said with a smile, "Professor Tao!"
"Come in." Terence Tao walked to the door, opened the office door, and welcomed the old professor in.
After Kleinrock walked in, he first nodded to Maynard, then he set his sights on Xiao Yi, and said with a smile, "Is this the most popular young genius in the mathematics world? I'm glad to see you."
Terence Tao next to him also introduced Professor Kleinrock to Xiao Yi.
Xiao Yi was immediately in awe when he learned that the man in front of him was actually the first person in the world to realize computer information exchange and was known as the father of computer networks.
Just kidding, they are now able to play games online because they are inseparable from this boss!
"Welcome to UCLA. If you are interested in computers, I also welcome you to take my class! With your mathematical talent, you will definitely be able to play a big role if you study computers." Kleinrock shook hands with Xiao Yi with a smile.
"I'll definitely go if I have time!" Xiao Yi nodded.
But, to be honest, he has actually read some books on computers, and he only read them last month.
With nothing to do last month, considering that he had finished reading most of the pure mathematics content, he also began to study applied mathematics content, including computers.
"Professor Tao, this time it's mainly the Multi-Party Security Algorithm I told you last time."
At this time, Kleinrock also began to explain his purpose to Terence Tao.
When Maynard and Xiao Yi next to them saw this, they expressed that they were ready to leave. After all, it was their privacy.
However, Kleinrock held the two of them and said, "You two don't have to leave. If you take a look at this problem, you might be able to provide some suggestions, especially Xiao Yi."
"Me?" Xiao Yi looked confused.
Kleinrock said with a smile, "In fact, this problem mainly comes from you."
"To be precise, it's the Parity Check Classification Sieve you just proposed."
"This time the problem mainly comes from major banks. World Bank is the main leader. They released a public big topic last year. The main purpose is to continue to strengthen the security of digital currency and blockchain, which involves Currency Cryptography, Cryptocurrency Supply Algorithm and Exchange, etc."
"These two parts are also the main research directions of my topic."
"RSA encryption is a major encryption algorithm used by banks, but you also know that this thing has a lot to do with prime numbers, and Xiao Yi and your Parity Check Classification Sieve are very useful in cracking this kind of password."
"So two days ago, the bank said it would be best to target Parity Check Classification Sieve so that its destructive power would not be so great."
For a moment, Terence Tao and the others all looked at Xiao Yi.
Xiao Yi looked innocent.
Blame me?