The top student must be diligent.

Chapter 110 Is it my fault?

Chapter 110 Is it my fault?
"Now for the second sieve, we can easily restrict the variable h to positions in the binary range, thus avoiding conflicts with the interval [x1/η, x1/+η]."

"I don't think so. I think we should first remember ξ(h)=1. If (h, Π1) is equal to 1, then ξ(h) is equal to 0."

"Didn't you notice that what you said only works when h ≤ x^1/4? Clearly, for larger h, we need to use a simple elementary lemma sieve to select values ​​that satisfy (h, Π1) = 1."

"Hmm...what you said does make sense, but how should we use it?"

"Wow, you didn't even consider using your sieve? Instead of using a basic sieve like this?"

"Sieves are not necessary, they should be used when they are needed... For this part, we just need to use w(x)=(loglogx)^2 given above, and z2, and then, if h < x1/4, define ξ0(h)=ξ(h)..."

"..."

In a professor's office in the Department of Mathematics at the University of California, Los Angeles (UCLA), three people were standing in front of the blackboard and having a heated discussion.

Outside the office window, there were many young students from UCLA standing, watching the scene inside.

Most of them showed excitement in their eyes, especially when they looked at the youngest of the three, they showed an expression of admiration.

"Look! That's Xiao Yi! The prover of the twin prime conjecture!"

"I've only seen him online before, but now that I see him in person, he really is too young, isn't he?"

"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 were 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 is naturally not too rare.

But today is different because Xiao Yi is here.
They are all young people, all students, and, they are all top students who can enter the University of California, Los Angeles.

However, it is hard to imagine that a few days ago, this young man, 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 large number of Fields Medal and Wolf Prize winners, and finally proved a world-class mathematical problem.

A blackboard and a pen.

Received cheers and applause from all over the world.

To these young people in the mathematics department, this is so cool!
"Look, when Xiao Yi was writing on the blackboard, even Professor Tao didn't say anything, and the same thing happened to Professor Maynard from Oxford University."

"Can you understand what they are writing?"

"I don't understand a bit."

“Is this the proof of the twin prime conjecture?”

"Who knows?"

To these students, the things on the blackboard were like incomprehensible books.

After all, these things are completely different from what the teacher taught in class.

Maybe they don’t even understand what is being taught in class.

At this moment, a voice came from behind them: "Kids, what are you doing?"

These young students turned their heads and immediately shouted, "Professor Kleinlock!"

Leonard Kleinrock, a top expert in the Department of Computer Science at UCLA, is even known as the father of the Internet in the entire computer field, because he was the first person in history to preside over an experiment that enabled data exchange between two computers. Since then, computers have officially entered the Internet age.

Although he is 85 years old this year, he has continued to teach in school, probably because he is still in good health.
Of course, the reason why these students who were not from the computer science department recognized him was not because he was very famous. After all, it was not possible for one person to know all the bigwigs in the school. The main reason was that Professor Kleinlock had been visiting Terence Tao frequently recently.

Maybe he has some problem and wants to ask Terence Tao for help.

"Professor Tao is currently researching this topic with Professor Maynard of Oxford University and Xiao Yi."

"Professor Maynard? And Xiao Yi?"

Kleinlock thought about it for a moment, and then said in surprise: "Is Xiao Yi the Chinese genius who just proved the twin prime conjecture a few days ago?"

"Yes!" the students nodded.

Kleinlock looked at Xiao Yi inside, then nodded and said, "I really didn't expect that Professor Tao would bring him here as well."

"Well... yes, the Cole Algebra Award will be presented at the end of the month, so this young man came along. It just so happens that the award ceremony will also be held in California."
When the students around heard this, they looked at Xiao Yi with even more admiration. The proof of the twin dormitory conjecture was indeed very impressive, but for young students like them, being able to win an award like the Cole Algebra Prize was something they could feel.

As they were talking outside the office, the discussion inside the office gradually died down.

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 is also a key proposition in the whole process."

Then the two of them turned to look at Xiao Yi at the same time: "Hey, Xiao Yi, do you have any ideas?"

Xiao Yi supported 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). ]

"so."

After thinking for a moment, Tao said, "That'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 rather difficult to deal with and could not come up with a solution so quickly for the time being.

Finally, Tao clapped his hands and said, "Let's stop here for today. No matter what, we have achieved a lot today, especially Xiao Yi. Hey, you have brought us a surprise."

Maynard also nodded in agreement, and patted Xiao Yi on the shoulder with a smile: "Sure enough, inviting you to join our project is really the right decision."

Xiao Yi scratched his head shyly, "I just made a small contribution."

"What a joke..." Maynard disagreed.

Xiao Yi's achievement is called a small contribution, so doesn't that mean they have made almost no contribution?

At this moment, Tao Zhexuan turned his gaze to the window, and then asked in surprise: "Professor Kleinlock! Why are you here?"

They turned to look out the window, and discovered that a group of young students and an old professor had gathered outside the window.

Kleinrock waved at them and said with a smile, "Professor Tao!"

"Come in quickly." Tao walked to the door, opened the office door, and welcomed the old professor in.

After Kleinlock came in, he nodded to Maynard first, then he set his eyes on Xiao Yi and said with a smile: "This is the most popular young genius in the mathematics world right now, right? Nice to meet you."

Terence Tao next to him also introduced Professor Kleinlock to Xiao Yi.

Upon learning that the man in front of him was the first person in the world to realize computer information exchange and was known as the father of computer networks, Xiao Yi was immediately filled with respect.

Just kidding, the fact that they can play games online now is all thanks to this big guy!
"Welcome to UCLA. If you are interested in computers, you are also welcome to attend my classes! With your mathematical talent, if you study computers, you will definitely be able to play a significant role." Kleinlock smiled and shook hands with Xiao Yi.

"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 read them last month.

With nothing to do last month, and considering that he had already finished reading most of the pure mathematics content, he also began to study applied mathematics, including computers.

"Professor Tao, this time we're mainly going to use the multi-party security algorithm I told you about last time."

At this time, Kleinrock also began to explain to Tao the purpose of his visit.

Seeing this, Maynard and Xiao Yi next to them said they were ready to leave. After all, it was someone else's private subject.

However, Kleinlock stopped the two and said, "You two don't have to leave. Take a look at this problem. Maybe you can 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 sorting sieve you just proposed."

“The problem this time mainly comes from major banks, with the World Bank being the main leader. They released a major public topic last year, the main purpose of which is to continue to strengthen the security of digital currencies and blockchain, which involves currency cryptography, cryptocurrency supply algorithms and exchanges, etc.”

“These two parts are also the main research directions of my subject.”

"RSA encryption is a major encryption algorithm used by banks, but as you know, it has a lot to do with prime numbers, and your parity check sorting sieve, Xiao Yi, is very useful in cracking this kind of password."

"So two days ago, the bank said it would be best to sort out the parity checks to make them less destructive."

For a moment, Tao Zhexuan and the others all looked at Xiao Yi.

Xiao Yi looked innocent.

Blame me?
(End of this chapter)

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