Chapter 6 Answers to a Proof Question
As a mathematics student, Lu Zhou certainly knew what a Mersenne prime was.
After all, when it comes to Mersenne primes, we have to mention a great Chinese mathematician, and his publication "The Law of Distribution of Mersenne Primes" in 1992, making Mersenne primes a formula that can be expressed in mathematical symbols. It is also known internationally as Zhou's guess.
Previously, although British mathematician Shanks, French mathematician Tolotta, German mathematician Berlehart, Indian mathematician Ramanujan and American mathematician Gillis had all put forward speculations respectively, but they The guesses have one thing in common, that is, they are all presented in approximate expressions, and they are all difficult to approximate the actual situation.
The exact formula of Zhou's guess is very simple, that is, when 2^(2^n)
Seems easy, doesn't it?
I can do it too, right?
However, just such a guess, which has not been proved or disproved so far, has become a famous mathematical problem and has plagued the entire mathematical community for more than 20 years.
However, this thing is like the Riemann conjecture. Although it cannot be confirmed, it does not prevent future generations from assuming that he is established and using it.
Of course, even if there is an accurate calculation formula, even if the job of treasure hunting is handed over to the computer, it is still not an easy task to find Mersenne primes.
Up to now (2014), a total of 44 Mersenne primes have been discovered in the mathematics community.
What is the use of Mersenne primes?
It doesn't seem to work either.
If I insist, the RSA algorithm counts as one, and every time I shop online, I have to thank the large prime numbers hidden in the password that cannot be disassembled. At the same time, large prime numbers are also used to test computer performance. For example, the Intel test chip uses the GIMPS program, and the SKYLAKE chip has also found a bug.
Also, there is no point in wrestling with whether math is useful. Many times the motivation for trend mathematicians to act is not necessarily how much economic gain there is to solve an equation, but because it is there.
In a big way, human beings can't only have the troubles in front of them, but also have poetry and distance.
However, Lu Zhou is not happy. He doesn't want any poetry and distant places.
Moreover, why is it the proof method for Zhou's conjecture! Give me a Riemann conjecture! Or a slightly lower level of Bill's conjecture!
Leaving aside the academic value, the bounty for Bill's conjecture has been turned to $1 million, which will be provided by Bill himself, a well-known banker in Texas.
As for Zhou's conjecture, many people have tried to prove it, but it seems that no one has offered a reward for this thing.
Seeing that a house flew away like this, Lu Zhou's mood was not beautiful in an instant.
But if you think about it in a good place, even if it is just Zhou's conjecture, if you can prove it by yourself, it will be a good thing that can leave a name in the history of mathematics. As for material rewards, although there is no bounty for this speculation, I think I won't treat myself badly when I come to the school. At least the scholarships for the next three years are stable.
Isn't that student Liu, who proved Sitapan's conjecture in his sophomore year, the best proof? It is said that NTU directly gave 1 million RMB, of which 500,000 was used for scientific research and 500,000 was used to improve life.
Jin Da can be ranked in the top ten in the country, although the mathematics department is a little weak, but even for the sake of face, it can't be compared by the top ten Nan University, right?
Thinking of this, Lu Zhou felt a little better.
After calming down, he took out the proof process and glanced at it.
Unlike the bottle of Coke labelled as [garbage], the proof method of Zhou's conjecture as a category of [drawings] is not specifically presented on paper or electronic files. When you want to see it, just recite it in your mind, and the whole set of proof steps can directly emerge in your mind.
"I don't understand it at all... It seems that it will take a while to understand the proof process."
Lu Zhou was thinking in his heart, how to take out the proof process at hand in a logical way.
First of all, light will be useless, you have to understand it yourself.
Second, you have to package yourself as a scholar.
Not to mention anything else, you can even solve such a mathematical problem as Zhou's conjecture. If you carelessly lose a 1-point roll, it will be 99.
However, this Lu Zhou is not very worried. In the past two days, he has completely understood the two courses of mathematical analysis and advanced algebra. University tutors generally do not deliberately embarrass students, and the knowledge points to be inspected are definitely in the textbooks.
A boiled duck won't run anyway. As for the proof of Zhou's conjecture... Lu Zhou plans to wait until the summer vacation is over before taking it out. In the past two months, he will make every effort to present himself as a true scholar and maximize the benefits he can get.
It is necessary to find more tutors to exchange academic problems.
Math LV1 is required.
Summer vacation is also a must.
At that time, I have to call my father and mother, and the next time I go back may be New Year's Eve.
The reward thing came to an end, and another question popped up in Lu Zhou's heart.
Will the [drawings] obtained by the lottery be related to the [subject level]?
This question is critical.
Otherwise, why is it so coincidental that if you don't draw anything else, you just draw a special "proof answer"? Instead of the first prize "Space Battleship"?
As soon as this thought came out of his head, he couldn't get rid of it, and the more Lu Zhou thought about it, the more he thought it was possible.
"The most urgent task is to improve the subject level, raise mathematics to LV1 as soon as possible, and unlock the upper limit of LV1 level of other subjects. In the meantime, should the lottery opportunities be collected first? However, if the lottery is not used, the task list cannot be refreshed, and the lottery opportunities can be hoarded. Not realistic..."
He also clearly remembered that after receiving the task reward, the task list turned gray. It was not until he ran out of two lottery chances that the option of the task list became selectable again.
About this, we can only know after a few more draws.
If several consecutive prizes are "answers to proof questions", then undoubtedly your conjecture is the correct solution.
In addition, having said that, new quests seem to be available for collection.
What could it be?
Thinking like this, Lu Zhou thought silently in his heart.
"Open the task list!"
A translucent holographic screen appeared in front of him.
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Task 1: The Art of Fishing in Troubled Waters
Explanation: Fishing in troubled waters is also an art. You can make money while lying down. Why do you work hard in the laboratory?
Requirements: Use language art skillfully, and be listed on scientific research projects with millions of scientific research funds. In line with the principle of no effort, no effort, with the least energy consumption, to achieve the greatest merit. So, try to fish as much as possible, boy!
Reward: Gain subject experience (experience type is determined by project type, experience value is positively related to scientific research project funding value, and negatively related to the host's contribution to the project). One chance to draw (100% rubbish)
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Task 2: Practicing Basic Skills (Physics)
Explanation: Rome wasn't built in a day, and neither was the edifice of science.
Requirements: Solve 200 university physics exercises (the exercise book is provided by the system, tailored to the host's knowledge reserve)
Reward: Question difficulty factor*2. 50 points. Props - Deep Learning Time (Category: Special. Effect: Valid for 24 hours, reading books during the duration of the effect can enter the deep reading state, and permanently master the knowledge points learned.)
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Task 3: Academics start with the thesis.
Explanation: Thesis is the foundation of learning. A scholar who can only write papers may not be able to do university questions, but a scholar who can't write papers must not be able to do university questions. Please don't argue with the system on this point, the system is the truth! Now, publish a sci paper and start your academic career!
Requirements: Publish a sci paper.
Reward: Subject experience (determined by academic value, with a lower limit of 100 experience). 200 points. One chance to draw (95% trash, 5% sample).
】
Seeing the last mission, Lu Zhou's expression was a little weird.
Is the rewarded experience based on the academic merit of the thesis?
If I send the proof process of Zhou's conjecture to the sci journal, I don't know how much experience I can exchange.
If you think about it, the idea is quite tempting...
Ask for a recommendation ticket~~~~~~Please ah~~~