Chapter 70: Proving Zhou's Conjecture!

After a delay at Lao Tang's place, as soon as Lu Zhou came out of the lecture hall, he was immediately surrounded by a group of freshman and elementary school girls.

Well, in fact, there are still some elementary school brothers next to me, but when I see so many girls, I'm embarrassed to squeeze in with a thin skin.

"Senior, how do you learn high math well? I feel that it is so difficult to teach me high mathematics, is there any learning experience that you can teach me? ”

"Senior brother, senior brother, I heard that our school has a policy of guaranteeing research and bonus points? Isn't it? Or do you have to get the Higher Education Society Cup......"

"Big guy, will you still compete next year? Still missing teammates? I'll write essays! I won the best debater in the high school debate tournament! First Prize in Mathematics Olympiad! ”

"Brother Xueba, do you have a WeChat account? Can you add me~"

Faced with this series of cannon-like questions, Lu Zhou looked confused.

I know I'm handsome, but you don't have to be so enthusiastic.

I'm sorry......

Finally got rid of the entanglement of the younger brothers and sisters, and Lu Zhou, who was carrying a computer bag, walked in the direction of the library.

Chen Yushan has been reviewing politics these days. Zhi, mainly back, did not come to the library.

It just so happened that Lu Zhou didn't have time to talk to her in the past two days.

Although the system imprinted the proof method in his mind, it still took a lot of effort to sort out the argument process that was enough to fill three or four pages of A4 paper.

Most basically, if you want others to understand your own proof process, you must at least digest it yourself.

In the end, what is written on paper may not be as simple as three or four pages given by the system, and the length may be doubled.

Moreover, number theory is not the research direction of Lao Tang, and no one has checked his paper this time. If you want to go through the manuscript in one go, you have to put out 120 points of concentration to restore every vague detail in the proof process given by the system, so that academic editors can't find fault with it!

[Discussion on the distribution law of Mersenne primes and proof of Zhou's guess]

[Abstract:In this paper, the distribution of Mersenne primes is studied, and it is proved that when 2^(2^n)

In the body of the text, there was a space first, and Lu Zhou jumped directly to the position of the cited literature and quickly knocked down a line of text.

【Citation:Distribution law of Mersenne primes[J].Zhou Haizhong. Journal of Yat-sen University (Natural Science Edition).1992(04)】

This is the only article that needs to be cited.

Over the past 20 years, countless mathematics enthusiasts and number theorists have repeatedly verified this theorem, but none of them have succeeded. Even Mr. Zhou himself, who made this conjecture, has studied it for so many years, and he cannot give a suitable proof for this conjecture.

And the charm of number theory is here, the apple hangs above everyone's head, whether it is a mathematician or a math enthusiast, you can see the alluring red. Just wait for a tall man to come and tiptoe it up.

With both hands off the keyboard, Lu Zhou picked up the pen and paper.

When he entered the state, he completely forgot about external objects, and even forgot about himself.

The only paper in the world.

Infinite primes are infinitely magnified under the tip of his pen, and infinitely constrained in line and line of expression. The interlaced numbers and symbols converge into incantations, weaving magic that describes the truth of the universe.

Minutes and seconds passed.

Pieces of scratch paper spread on the table gradually covered the table in front of Lu Zhou.

Noon, meals.

The buddy next to him who was going to graduate school stretched his waist and was about to get up to go to the cafeteria to eat, when he suddenly noticed the scratch paper that Lu Zhou had spread on the table, and the lines of calculations on the paper, and he was instantly confused.

What's so awesome?

Counted so many scratch papers?

He looks quite young, like an undergraduate, but is there such a difficult math problem in the undergraduate level?

Leaning over and looking at it, he could probably understand that it was a problem with number theory, but when he looked down, he didn't quite understand it. On the one hand, Lu Zhou's handwriting in the draft is really a dragon flying and phoenix dancing, and on the other hand, he is not in this research direction, and he knows a little bit about number theory, but he only knows a little scratch.

Just when he was full of curiosity and was about to ask this person what he was proving, he suddenly noticed the title of the document in the center of the screen on the laptop—

Proof of Zhou's conjecture?!

Curiosity vanished in an instant.

Oh, it turned out to be a madman.

"Another stupid one studying mathematics."

complained in his heart, and the buddy who was admitted to graduate school didn't say a word, picked up his backpack and turned around and left.

Although he is not in this direction of study, this does not mean that he is ignorant of this direction.

Over the past 20 years, mathematicians all over the world, as long as they study the direction of number theory, have more or less studied special primes such as Mersenne primes, twin primes, and Fermat primes, which are the key to the problems of the century. As long as the Mersen prime number is studied, the proof of Zhou's conjecture has basically been tried.

But is there one person who has ever succeeded?

Not to mention apple picking, there is not even a person to build a ladder or move a stool!

If you get an undergraduate ID card out, then it's a hell!

Lu Zhou, who was completely immersed in that line of calculations, naturally could not notice the mental activity of a certain passer-by behind him. Not to mention this little bit of wind and grass, even the passage of time and the hunger in the stomach are all annihilated in that line of calculations.

I don't know when he got used to this unhealthy way of learning......

By the time Lu Zhou wrote the last line of the equation, the sky outside the window had completely darkened.

With a sigh of relief, he leaned back in his chair and felt like his whole body was in collapse.

On the one hand, it is tiring.

On the other hand, there is hunger.

"I forgot about such an important thing as eating...... It seems that I have really cultivated immortals to Bigu. ”

The difficulty of this paper is much more difficult than the previous "Optimal Inversion Theory of Linear Operators and Linear Functions", and the academic value is not in the same order of magnitude. Fortunately, the core work has been completed, and all that remains is to organize these drafts into A4 paper, and then enter them into the computer to complete the whole paper.

Rubbing his stomach, Lu Zhou was about to stand up and put away the scratch paper on the table.

However, at this moment, he was suddenly attracted by a line of numbers listed on a piece of scratch paper in the corner.

"Huh?"

With a sigh, Lu Zhou picked up the pen, circled a few numbers on the scratch paper, and then rearranged them.

The two sets of data that have been arranged happen to be twin primes.

Lu Zhou frowned, and the tip of his pen dotted on the scratch paper.

Two lines of equation were written.

But it was quickly crossed out again.

The famous Polygnac conjecture states that there are infinitely many pairs of prime numbers (p, p+2k) for all natural numbers k. And when k = 1, it is the twin prime conjecture. In a sense, the study of the distribution law of Mersenne primes also provides a way to solve the problem of the infinity of twin primes.

At the moment when Zhou's conjecture was restored just now, he vaguely seemed to have discovered something.

Pinching his eyebrows, Lu Zhou felt a little headache.

No, there is no idea at all......

That moment of inspiration is fleeting, and it is difficult to seize the opportunity if you miss it.

MMP!

This number theory is really not played by ordinary people.

"System, give your master a little inspiration."

Lu Zhou silently shouted in his heart, but the system did not respond.

All right.

It seems that the directional problem of problem solving ideas is also not within the scope of the system's solution.

"Classmate, the museum is closing."

After waking up from his contemplation, Lu Zhou found that Aunt Librarian was standing next to the table. Looking back at the library, it seemed that there was only one student left in the entire library who had not left.

"Ah, I'm sorry, I'll pack my things." Lu Zhou smiled apologetically and reached for the draft on the table.

If he continues to hold on, he will almost not be able to bear it.

Let's go out and eat something first.