[∑_(p≤x)aplog p=HA(x){1+O(log(x)/log(x)}]
Seeing what the student in front of him was gradually writing on the blackboard, Ivanets, who was still smiling at first, began to restrain his smile and analyze these formulas seriously.
To be honest, he didn't think that some videos the student saw on the Internet could provide any so-called help in solving the parity problem.
They had been studying for so long before they managed to come up with something and achieved a small victory on the issue of parity. How could these young students just find something in a corner and be able to play a role in such a cutting-edge issue?
Just kidding.
Besides, if someone in the mathematics community really came up with such a result, he would definitely be among the first to know about it, because after the mathematics community has such a result, people will definitely think of him, and then send the result to him and ask him to evaluate it.
He was among the reviewers of the Zhang Yitang paper.
Therefore, if he were young, he would have immediately criticized this student for reading useless things. As a student of their Mathematics Department, he would actually believe in some street stall literature, or folk science stuff.
But now that he is older, he wants to be gentle, point out the mistakes first, and then tell these young people not to believe things on the Internet.
Well, with this plot development, everything makes sense.
But now, things are starting to develop in an unreasonable direction.
"Is this a plan to study from the perspective of classification? Such a first step... hiss, a very smart step!"
Ivanets's heart was filled with surprise.
He had discussed the idea of classification with many sieve theory researchers, but they had never come up with a conclusion on how to take the first step of classification.
So in the end, they could only shelve such ideas temporarily. In one sentence, their mentality at the time was: believe in the wisdom of future generations.
Although they will most likely never see that day again.
But who would have thought that he would see him today?
Or in your own class?
At this moment, he saw the student stopped and did not continue writing.
He couldn't wait to ask, "What's next? What should we do next?"
"Well, that's all the content of the video I saw."
The student scratched his head sheepishly and said.
"That's all?" Ivanets's heart suddenly felt like it was being scratched.
Now he just wants to know how to prove that such sieve classification is feasible!
"Who wrote these things in the video you watched?"
"It's Xiao Yi!" The student replied, "It's the Chinese genius who proved Elliott-Halberstam's conjecture some time ago! I saw in the video that he studied the sieving method to prove Twin Prime Conjecture, so I wanted to ask you if this is possible!"
"It turns out to be that genius..."
Ivanets breathed a sigh of relief. In this case, it is logical and reasonable.
After all, Xiao Yi has already used the Elliott-Halberstam conjecture to prove his amazing talent.
However, could that young man from China really be able to bring them some surprises?
He didn't know what to say.
"Professor?" The student asked when he saw the old professor's dazed look.
Ivanets came back to his senses and glanced around the classroom. At this time, all the students were obviously attracted by the news.
That's Twin Prime Conjecture, who among them doesn't want to know?
Finally, Ivanets said, "Any success in mathematics is not achieved overnight, but what I want to say is that Xiao Yi has already shown his ideas that are ahead of the mathematics community."
"So, I hope and expect that he can succeed!"
The get out of class bell rang at exactly this moment, and Ivanets immediately announced, "Get out of class is over!"
Then, he quickly left the classroom. He wanted to tell his friends about this.
With the departure of Ivanets, students in the entire classroom immediately started discussing, and their words were full of disbelief.
Twin Prime Conjecture, will it be possible to be solved by a student younger than them?
crazy!
When Ivanets knew about it, it basically meant that the entire mathematical community knew about it.
[Xiao Yi is trying to improve the sieve theory and optimize its existing parity problems.]
[Xiao Yi is conquering Twin Prime Conjecture.]
For a time, there was quite a stir in the mathematical world.
Because the Elliott-Halberstam conjecture was proved and the automorphic theory of etale algebraic varieties was developed, and these two papers are still in the review process, there are actually not many people in the mathematical community paying attention to Xiao Yi.
But no one thought that just a short time ago, Xiao Yi would actually start trying to solve the problem of the century like Twin Prime Conjecture.
Even, according to those experts, Xiao Yi's first step has already taken a step that the mathematics community has never thought of before, which means that he is already ahead on this issue.
Even Zhang Yitang stood up and said that Xiao Yi's idea is "advanced" and "innovative".
Of course, there are still some difficulties. Whether he can truly solve this problem will not only take time, but also luck.
After all, inspiration doesn't just come.
Bonn, Germany, Max Planck Institute for Mathematics.
"I really didn't expect that he actually started studying Twin Prime Conjecture."
In the lounge, Schultz looked at the messages on his phone and said to Faltings next to him in surprise.
However, upon hearing this question, Faltings just said with emotion, "It seems that he did not give up on this issue in the end."
Schultz was stunned. "You mean... you already knew that Xiao Yi was studying Twin Prime Conjecture?"
"Yes." Faltings nodded, "Last time in my office, he told me as soon as he came in that he wanted to study Twin Prime Conjecture."
"Your office?" Schultz recalled that day and wondered, "I was there at the time, why didn't I know?"
Faltings shrugged. "You came later, of course you don't know."
Schultz suddenly felt helpless. "I haven't heard you mention it since then?"
Faltings said, "How could I have imagined that he really solved the Elliott-Halberstam conjecture?"
Schultz When you hear it, do you have a story?
Just listen to Faltings slowly say, "That night, when he came in, he brought a bunch of theories that he had worked out and asked me if I could give him some suggestions to solve Twin Prime Conjecture."
"How should I mention this to him? Otherwise, wouldn't I have solved Twin Prime Conjecture long ago?"
"And compared to Twin Prime Conjecture, I would rather study Riemann Hypothesis, or Hodge Conjecture or something like that. Twin Prime Conjecture is already a bit beyond my field."
"Besides, what I thought at that time was that Twin Prime Conjecture was not suitable for him, and there was no need for him to waste his time on it."
"So I asked some questions based on the things he had created, trying to stump him. Unexpectedly, he actually answered them all."
"But fortunately, I roughly saw that his idea might be helpful in studying the Elliott-Halberstam conjecture, so I suggested that he study this first."
"Anyway, the Elliott-Halberstam conjecture is relatively simple compared to Twin Prime Conjecture."
"Then... you know what happened."
"He really nailed it."
Faltings spread his hands and said innocently.
Schultz pulled the corner of his mouth.
It turns out you are such an [academic senior].
To use such words to deceive a young man.
If Xiao Yi knew that this was the case, I don't know how he would feel.
Schultz shook his head helplessly.
Then, he asked, "So what now? Do you think Xiao Yi can prove Twin Prime Conjecture?"
Faltings fell silent. After thinking for a long time, he finally looked out the window of the lounge.
The Beethoven statue on Münster Square looks golden under the sunlight.
He said, "Although it still feels a bit incredible to say it, I always feel that this young man can create miracles again."
Schultz smiled slightly and looked out the window, "I think so too."
Time flew by and it was the last day of November.
USTC, in Room 313, Dormitory Building No. 3.
"So, ultimately we can determine that there are infinite pairs of prime numbers whose difference is 2."
[lim(n→∞)inf(pn+1pn)=2.]
On the scratch paper, I wrote this last equation.
Xiao Yi's floating heart finally calmed down at this moment.
All the voices in my ears disappeared, leaving only the voice of truth.
It was as if the universe was sending him a reward.
Using logical positivism and finally using flawless mathematical language, he clarified that among the infinite number of prime numbers, there are also infinite number of pairs of twin prime numbers.
This is a wonderful feeling. Perhaps every mathematician who has cracked a heavyweight mathematical problem has experienced such a moment the moment he completed the proof.
Until a moment later, the sounds of the campus coming from the window flooded into his ears again.
"Succeeded..."
Picking up the draft paper in his hand, Xiao Yi murmured.
Even though his proof has not yet been recognized by the mathematical community, he feels that way in his heart that he is right.
Of course, the next moment, the power from somewhere confirmed the feeling in his heart.
A long-lost voice sounded in my mind, "[Ruthless Continuous Study] has been effective for more than 100 days, and has completed an academic paper of medium value, and the level has been upgraded to lv4."
"The skill effect changes as follows: for every hour of learning, the learning efficiency increases by 1.7 times, up to 17 times; at the same time, if the utilization rate of Ruthless Continuous Study is less than 50% within 24 hours, the BUFF disappears."
After saying this, the voice disappeared again.
There is no doubt that this mysterious voice has told Xiao Yi that his proof is correct.
[Twin Prime Conjecture] has been promoted to [Twin Prime Theorem]!
Three chapters totaling 10,000 words, please vote for the new January!