Chapter 70: Prove Zhou's conjecture!

After a delay in Lao Tang, Lu Zhou just got out of the ladder classroom and was immediately surrounded by a group of freshmen.
Well, there are still some elementary school brothers next to me, but when I see so many girls, I am embarrassed to get a little skinny.
"Seniors and seniors, how do you learn high numbers? I feel that high numbers are difficult. Is there any learning experience to teach me?"
"Brother, brother, I heard that our school has a policy of bonus points for insurance research? Isn't it? Or is it necessary to get the Higher Education Club Cup..."
"Big brother, will you still play next year? Are you still missing teammates? I will write a paper! I won the best debater in the high school debate! First prize in the Olympics!"
"Brother Xueba, do you have a WeChat account? Can you add me~"
Facing this general problem, Lu Zhou was stunned.
Although I know I’m handsome, you don’t have to be so enthusiastic.
I'm so sorry...
It was finally difficult to get rid of the entanglement of the younger students and schoolgirls, and Lu Zhou carrying a computer bag walked towards the library.
Chen Yushan has been reviewing political affairs for the past few days, mainly because of his back, so he didn't come to the library.
It happened that Lu Zhou was not free to talk to her in these two days.
Although the system has printed the proof method in his mind, it still takes a lot of effort to sort out the demonstration process enough to write three or four pages of A4 paper.
At the most basic level, if you want others to understand your proof process, you must at least digest it yourself.
The last thing written on the paper may not be as simple as the three or four pages given by the system, and maybe doubled in length.
Moreover, number theory is not Lao Tang's research direction, and this time no one has checked his thesis. If you want to submit a manuscript in one go, you have to devote one hundred and twenty cents to focus, and restore every vague detail in the proof process given by the system, so that academic editors can't find anything wrong with it!
[Discussion on the distribution law of Mason prime numbers and proof of Zhou's guess]
[Abstract: This paper studies the distribution law of Mason prime numbers and proves that when 2^(2^n)<P<2^(2^(n+1)), MP has 2^(n+1)-1 It is a prime number. Based on this argument, it is proved that when P<2^(2^(n+1)), Mp has 2^(n+2)-n-2 prime numbers. 】
First put a space in the text, Lu Zhou jumped directly to the position of the cited document, and quickly knocked down a line of text.
[Citations: Distribution Law of Mason Prime Numbers [J]. Zhou Haizhong. Journal of Yixian University (Natural Science Edition). 1992(04)】
Only one article needs to be cited.
Over the past two decades, countless mathematics enthusiasts and number theory researchers have repeatedly verified this theorem, but none have succeeded. Even Mr. Zhou who made this conjecture, after studying for so many years, could not give a proper proof of this conjecture.
The charm of number theory is here, and Apple is on top of everyone's head, whether it is a mathematician or a mathematician, you can see the attractive color. Just wait for a tall man to come, tiptoe, and pick it.
With both hands off the keyboard, Lu Zhou picked up a pen and paper.
After entering the state, he completely forgot foreign objects, and even forgot himself.
The only paper in the world.
Infinite prime numbers are magnified infinitely under the tip of his pen, and are endlessly confined in lines of expression. The interleaved numbers and symbols merged into a spell, weaving magic that describes the truth of the universe.
Time passed by minute and second.
Pieces of draft paper laid flat on the desktop gradually covered the table in front of Lu Zhou.
At noon, dinner.
The buddy next to the postgraduates stretched out and was about to get up to eat in the cafeteria. Suddenly he noticed the draft papers that Lu Zhou had laid flat on the table and the lines on the paper. .
What question is so good?
Haven’t finished counting so many draft papers?
It looks quite young, like an undergraduate, but do you have such difficult math problems at the undergraduate level?
After looking around, he probably could understand that it was a matter of number theory, but when he looked down, he didn't quite understand it. On the one hand, Lu Zhou's handwriting of drafts is really dragon and phoenix dance, on the other hand, he is not in this research direction, he knows a bit about number theory, but only knows some fur.
Just when he was full of curiosity, he was about to ask this person when he was proving something, and suddenly noticed the document title on the center of the screen on that laptop—
Proof of Zhou's conjecture? !
The curiosity disappeared instantly.
Oh, it turned out to be a lunatic.
"Another stupid student of mathematics."
In my heart, I said a word, the buddies in the postgraduate did not say anything, picked up the backpack and turned away.
Although he is not in this research direction, this does not mean that he knows nothing about this direction.
In the past two decades, mathematicians all over the world, as long as they are in the direction of number theory, have studied more or less special prime numbers such as Mason prime numbers, twin prime numbers, and Fermat prime numbers. After all, this is the key to the difficult problem of the century key. As long as the Mason prime numbers are studied, basically the proof of Zhou's conjecture has been tried.
However, has anyone succeeded?
Not to mention picking apples, there aren't even a person on a ladder or a stool!
If this makes you an undergraduate student card, then it is called a ghost!
Lu Zhou, who was completely immersed in the line of calculation, naturally couldn't notice the psychological activity of a passerby behind him. Not to mention that the wind was blowing, and even the passage of time and the hunger in the belly were obliterated in that line of expression.
I don't know when it started, he is used to this unhealthy way of learning...
When Lu Zhou wrote the last line, the sky outside the window was completely dark.
With a sigh of relief, he leaned back in his chair and felt the whole person collapsed.
On the one hand is tired.
On the other hand is hungry.
"I have forgotten such an important thing as eating... It seems that I am really practicing immortal cultivation to Pigu."
This paper is more difficult than the previous "Optimal Inversion Theory of Linear Operators and Linear Functionals", and its academic value is not on the order of magnitude at all. Fortunately, the core work has been completed. The remaining work is to organize these drafts on A4 paper, and then input them into the computer to complete the entire 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 placed on a draft paper in the corner, and a line of numbers listed attracted attention.
"what?"
With a light click, UU Reading www.uukanshu.com Lu Zhou picked up the pen, circled a few numbers on the draft paper, and then rearranged them.
After the arrangement, the two sets of data are exactly twin primes.
Lu Zhou frowned, and the nib clicked on the scratch paper.
Wrote two lines of calculation.
But it was quickly crossed out.
The famous Polignac conjecture says that for all natural numbers k, there are an infinite number of pairs of prime numbers (p, p+2k). When k=1, it is the twin prime conjecture. The study of the distribution law of Mason prime numbers, in a sense, also provides a way of thinking to solve the problem of the infiniteness of twin prime numbers.
At the moment when Zhou's conjecture was just restored, he seemed to find something vaguely.
Squeezing his eyebrows, Lu Zhou felt a headache.
No, no idea at all...
The inspiration in that moment is fleeting, missed the opportunity, it is difficult to seize it.
MMP!
This number theory is really not played by ordinary people.
"System, give your master a little inspiration."
Lu Zhou shouted silently in his heart, but the system did not respond.
Ok.
It seems that this kind of directional problem-solving problem is also outside the scope of the system.
"Student, we are closing."
After sobering up from contemplation, Lu Zhou discovered that the aunt librarian was standing beside the table. Looking back at the library, the students who had not left in the whole library seemed to be the only one left.
"Ah, I'm sorry, I'll pack up." Lu Zhou smiled apologetically, reaching for the drafts on the table.
He couldn't bear it any longer.
It's better to go outside and eat something first.