The sky outside the window was bright.

Lu Zhou, who was lying on the desk, slowly opened his eyes.

Rubbing his somewhat sour brows, he looked at the calendar placed in the corner of the table.

It's May......

Lu Zhou shook his head with a little headache.

Since he came to Princeton in February, he has spent almost half of his time in this 10-square-meter house, and he has basically never been out except for driving to the supermarket to buy groceries.

What distressed him the most was the $5,000 club card, which he hadn't even used a few times.

For nearly half a year since receiving that task, he has been challenging Goldbach's conjecture.

Now, it's finally coming to an end.

Taking a deep breath, Lu Zhou stood up from his chair.

He has come to the last step, but he is not so anxious.

Humming a little song into the kitchen, he got himself something to eat, and Lu Zhou even took out a bottle of champagne from the refrigerator and opened the bottle cap to pour it for himself.

The champagne was bought two months ago for this moment.

After enjoying the dinner quietly, Lu Zhou calmly went to the kitchen to wash his hands, and then returned to his desk and began to put the finishing touches on his work for a while.

Nearly fifty pages of paper crossed, and he picked up his pen and continued to write in the place where he had fallen asleep before he had finished writing yesterday.

…… Obviously, we have px1, 1px, x11612pxx, p, xq2xlog4...... 30

…… From Eq. 30, Lemma 8, Lemma 9, and Lemma 10, it can be proved that Theorem 1 holds.

The so-called theorem 1 is the mathematical formulation of Goldbach's conjecture that he defined in his paper.

That is, given a sufficiently large even number n, there are prime numbers p1 and p2 that satisfy np1p2.

Similar to this is Chen's theorem np1p2p3 and a series of theorems about pa and b.

Of course, although this formula is now referred to as Theorem 1 in his paper, it may not be long before the mathematical community generally accepts his proof process, and this theorem may be upgraded to something like the "Terrestrial Theorem".

However, the review period for such major mathematical conjectures is generally relatively long.

Perelman's paper proving the Poincaré conjecture took three years to be recognized by the mathematical community, and Shinichi Mochizuki's proof of the ABC conjecture was mixed with a large number of "mysterious terms", and the review threshold must at least read his "Cosmological Epoch Theory" before it can be considered an entry, so no one has read it until now, and it is expected that it will be difficult in the future.

The speed of review of a major conjecture depends largely on the popularity of the proposition and how "new" the work is.

In proving the twin prime theorem, Lu Zhou did not use a particularly novel theory, but only innovated the topological method mentioned in the paper published by Professor Zelberg in 95, and those who have studied this paper can quickly understand what work he has done.

For papers that prove Polygnac's theorem, the review cycle is obviously lengthened.

Even though his group construction method has been reflected in the proof of the twin prime number theorem, the magic element in it also makes it far from the scope of the sieve method, and even if the reviewer is a big bull like Deligne, it took a lot of time to make a final conclusion.

Lu Zhou wrote a total of 50 pages on the proof of Goldbach's conjecture, and at least half of it was devoted to the theoretical framework he had built for the entire proof.

This part of the work can even be published as a separate paper.

To a large extent, his review cycle depends on the interest of others in the theoretical framework he proposes and the degree of acceptance of the theoretical framework he proposes.

As for how long it will take, it is not up to him to control.

In fact, Lu Zhou had been thinking about what the system's criteria for determining the completion of the task was.

If he completes a proof of a theorem, but no one approves of his work for ten or even decades, does that mean that his task has to be stuck for so long?

And what he didn't understand the most was that since the system's database stored a huge amount of data, it must come from a higher civilization, at least this civilization is more developed than the civilization on Earth.

Leaving aside the motives for its existence, Lu Zhou felt that the system from a higher civilization would not have taken into account the opinions of the "indigenous" in determining whether a problem was solved.

In this analysis, Lu Zhou came to the conclusion that the completion of the system task should be determined by two factors.

One is correctness.

The other is to make it public!

In fact, there is a very simple way to verify whether his proof is correct.

If it's just for publication, it doesn't necessarily have to be published in a journal......

……

After completing the paper proving Goldbach's conjecture, Lu Zhou spent three full days organizing the contents of the paper into a computer, converting it into a PDF file, and then logging on to Arxiv's official website to upload the paper.

He is more than ninety percent sure of the correctness, because it is his habit to rigorously check every conclusion, and to repeatedly scrutinize all the possible mistakes.

As for publicity.

ARXIV, without a peer review session, is undoubtedly the fastest option!

The only drawback may be that it conflicts with the submission principles of some journals and conferences, such as uploading papers before the deadline may violate the double-blind rule, etc., but Lu Zhou doesn't care much about these things now, and he believes that those journals that accept manuscripts will not care about those details.

After all, the contributor is no longer a nobody, but the winner of the Cole Number Theory Prize. The academic results of the report are not obscure work, but Hilbert's Goldbach conjecture in the eighth question of 23 questions, second only to the millennial problem of analytic number theory, one of the crowns!

In two days, he will rearrange the paper, solve the formatting problems, make it look more comfortable, and then submit it to the Mathematics Yearbook.

The paper on the proof of Fermat's theorem that proved Wiles was reviewed by six reviewers at the same time, and Lu Zhou didn't know that his paper would be reviewed by several bigwigs, but it should not be less than four, right?

Looking at the pop-up window that popped up on the webpage to prompt the completion of the upload, Lu Zhou breathed a sigh of relief.

In this way, it will be considered a complete disclosure, right?

After the paper is published, people or research institutions who are interested in this field will receive an alert similar to an alert. If nothing else, somewhere on the planet, there should already be people reading his articles.

I just don't know if the system has a judgment value for the number of reads of the paper, and if it does, it will take a few days to verify his guess.

Sitting in front of the computer, waiting for a cup of coffee, Lu Zhou closed his eyes, took a deep breath, and whispered silently.

"System."

When he opened his eyes again, they were completely white.

It's been a long time since I last came back here, so much so that when I came to this place this time, Lu Zhou even felt a little uncomfortable.

Walking over to the translucent holographic screen, he reached out and pressed it to the location of the taskbar with a hint of apprehension.

Soon he was able to verify his guesses......

At the same time, you can also know whether your thinking is correct.

Wait a minute......

At this moment, Lu Zhou suddenly realized a problem.

If the system doesn't respond to you, does it mean that you have made a mistake in analyzing the conditions for the task completion judgment, or that there is a problem with your paper itself?

However, the system did not give him time to think about it.

A heavenly prompt sounded.

Immediately after, a line of text came into his eyes.

Congratulations to the host for completing the mission!