If the core idea of the minimum quadratic non-residual estimation of modulus primes in the group construction method comes from the large sieve method, then the part of Hatchgott's paper that analyzes the functions on the circumference is a part of his theory.

This "belonging to 99" work began before he went to California last year to attend the lecture, and has now ended. The remaining part of 1 is the inspiration that keeps most people out of the door of truth.

And now, this piece of the puzzle has been held by Lu Zhou.

Without waiting for Charles Peverman to finish the lesson, Lu Zhou quietly packed up his things, just as he came quietly and left quietly.

The old professor standing on the podium just glanced in the direction he left, a smile on the corner of his mouth, and then continued to talk about his number theory class in that slow and logical voice as if nothing had happened.

Back in the apartment, Lu Zhou picked up the pen and wrote the paper.

The ideas that emerge are like diabetes collapse, and they can't be stopped!

I finished the fifth page, then the sixth and the seventh......

Minutes and seconds passed.

The wall clock on the wall passed past noon and then turned to dusk, until the sky outside the window grew darker.

When Lu Zhou reached the end of the sixteenth page, he finally stopped the slightly trembling tip of the pen in his hand and looked at the research results in front of him.

“…… Then this introduces the bbieri theorem, and dozens of lines further down are obvious...... Succeed with flying colors! ”

Taking a deep breath, Lu Zhou leaned back in his chair and exhaled the turbidity that had been stagnant in his chest for a long time, and his frowning brows finally stretched a smile.

Further down is the solution to Goldbach's conjecture.

From now on, his boat is truly sailing into an unknown sea.

Still, he believes he can do it.

This unprovoked but unshakable belief is probably the same as Andrew Wiles' feeling when he looked at Fermat's theorem after completing the proof of Taniyama Shimura's theorem.

When a tool is completed, fulfilling the mission of the tool is nothing more than a matter of pushing the boat down.

Combining the strengths of many researchers, nearly 200 years of precipitation, and the Goldbach conjecture studied by several generations of mathematical masters, it has finally come to this point.

Lu Zhou didn't have any pride in his heart, some were just honored.

It is an honor that he will be able to top out this building.

After recalling this indescribable feeling for half a minute, Lu Zhou took out his mobile phone and sent a text message to his mentor Deligne and his friends in Princeton, telling them that his project had entered a critical stage and that he planned to retreat and study for a period of time, so that they could not worry.

Then, he turned off his mobile phone and completely closed himself in this small room of more than ten square meters......

It's already here, and it shouldn't take long if it goes well.

If it doesn't go well......

Then he won't come out!

……

The design of the Institute for Advanced Study in Princeton is interesting, the dining room and lecture hall are designed together, and the people sitting here can even eat and listen to the lunchtime presentations and biweekly discussions.

At the same time, the coffee machine here is also free to use.

Sitting in the corner of the dining room, Deligne scrutinized the paper in his hand.

As an academic editor for several journals such as the Annals of Mathematics and the Mathematical Chronicle, he usually has very little free time, so he usually puts the review time in an hour after lunch.

Unless it's a particularly interesting paper, he usually doesn't bring it back to his office or take it out to discuss with other professors.

Sitting across from Deligne with a plate, Professor Edward Witten greeted with a smile and asked.

"Why haven't you seen your new PhD students lately?"

Of all the Ph.D. students Princeton has recently enrolled, Lu Zhou is arguably the one Witten admires the most, especially his talent for mathematical physics at CERN's presentation, which made him seem to see himself in his youth. He has always regretted not being able to take him in.

Recently, CERN canceled his experiments in the 750GEV energy range, and he had been tempted to talk to the young man about his thoughts on that characteristic peak, but unfortunately, he never had the chance.

Professor Deligne did not take his eyes off the paper, but simply replied, "He recently took a leave of absence." ”

Witten: "Excuse me?" ”

"Well," Drigne nodded, and replied casually, "he's working on the Goldbach conjecture, and I just granted him two weeks off." ”

"Goldbach conjecture...... Witten's expression was slightly surprised, but it didn't change much, "It's still an interesting proposition." I thought he was working on standard conjectures in your group. ”

While making a mark on the paper, Professor Deligne casually said, "I invited him, but he was not interested, and I did not force it." For this kind of genius, it is better to force him to do one thing, but it is better to let him play freely in the direction he is interested in. ”

At this moment, the mobile phone on the table suddenly vibrate.

Seeing the text message alert, Professor Deligne reached for his phone and looked at it, his eyebrows twitching.

Dear Professor Deligne, I am your student Lu Zhou. Here's the thing, my research has entered a critical phase, and I need to go on retreat for a while, maybe a month, maybe ...... I don't know. In short, before the end of this year, I will give you a satisfactory explanation.

Although he didn't see what was written on the phone screen, but the change in his old friend's expression was in full view, Edward Witten smiled and continued to ask, "Do you think he can succeed?" ”

Professor Deligne put down his phone with a blank face.

After thinking for a moment, he suddenly sighed, shook his head and said.

"I don't know, I just don't approve of his way of researching. Closed studies are not a good option, and the worst results may even lead you to a dead end. Even if he takes leave to attend report meetings and exchange meetings, I support him and can even help him apply for funds. But until now, as far as I know, he took time off of absence to shut himself in the house. ”

Witten's eyebrows furrowed, and he asked with a smile, "But you still support his choice?" ”

"Yes, but I gave him a year," said Deligne, a stern old man who had a rare uncertain tone, "after all, I don't dare say that I won't be blind, because I was surprised by his performance in proving the twin prime conjecture live at that presentation in Princeton." There was even a moment when I had the delusion......"

Witten: "Delusion? ”

Deligne was silent for a moment, then spoke slowly, "I seem to see Grothendieck. ”

Hearing this, Edward Witten was visibly stunned.

Grothendieck!

The father of modern algebraic geometry, the pope of modern mathematics!

Many people like to use exaggerated terms such as Faltins' successor, or even Pierresell's successor, to describe the genius of mathematics in a certain field, but few people compare a mathematical genius to Grothendieck, even if it is an exaggerated metaphor or expectation.

There are definitely no more than five new generation mathematicians who can win this honor.

It was a long moment before Witten said in an unexpected tone.

"That's really ...... Surprising. ”