Chapter 1378: "Anti-intuition" conjecture

The abc conjecture is not the same as other mathematical conjectures. The biggest difficulty is not the calculation, nor the abstractness of the proposition itself, but its existence is completely "anti-intuitive".
In simple terms, there are three numbers a, b, and c, where c = a + b. If the number is prime, then d obtained by multiplying the prime factors that do not repeat, it seems that d will obviously be better than c Be big.
For example, just give an example, a =, b =, c = a + b =, d = =, where d is obviously much larger than c.
However, this statement may seem fine, but the facts are completely contrary to people's intuition.
Not only are there counter-examples, but there are many counter-examples.
For example, the ternary array (,,), d = 0, is obviously smaller than equal c.
Later the mathematicians backed off and made a change in the original formulation of Joseph Ostari, magnified rad (abc), and replaced it with a power greater than r, that is, So-called rad (abc) (+ e).
That is, when e is any real number greater than zero, a counterexample of d = rad (abc) (+ e)> c exists!
However, the number of these counterexamples is limited!
Ever since this question was asked, because of its "counter-intuition" characteristics, it has always been a first-class problem that plagued the mathematical community.
In the algebraic sense, there is an infinite number of possibilities for the interaction between addition and multiplication. Therefore, the prime factors of two natural numbers and the prime factors of their sum should not be mathematically related. of.
However, the magic of abc's conjecture is here.
It brings together two algorithms that seem to have nothing to do with mathematicians, in a magical way, and discusses the mathematical laws between the two.
Even though it may seem wrong at first, no one can falsify it, and even based on the results of distributed computing, it is likely to be correct.
Just like countless face-scratchings in history, scientific conclusions such as "Newton's inertia theorem" and "Galileo's Leaning Tower of Pisa" that seemed to be contrary to common sense at the time were successfully verified.
Moreover, after these counter-intuitive theories were confirmed, without exception, they greatly promoted the scientific development of the time.
Just like Professor Dorian Goldfield's evaluation of it, although the abc conjecture is not as well known as Fermat's Theorem, many publics are confused about why mathematicians should study a conclusion that seems to be positive and negative, but because Its unique counter-intuitive properties are no less valuable than Fermat's Great Theorem.
If this conjecture is confirmed, it will solve many famous Diophantine equation problems in one fell swoop.
And this includes Fermat's theorem ...
After returning from Professor Perelman's side, Lu Zhou went straight to his office in the Academy.
Compared to the environment of the Jinling Institute of Advanced Research and the Space Launch Center, he still prefers the atmosphere of Mathematics Institute when studying mathematical problems.
Asked Assistant Zhao to make a cup of coffee, and Lu Zhou, who was sitting at his desk for a long time, pulled a ball-point pen from the pen holder and quietly thought about a blank piece of draft paper.
In fact, at this moment, he is not only concerned with academic issues.
There is also about the so-called "sacred relic".
Compared to the manned boarding fire office and Chang'an Street, he actually knew more about it.
This is not only because he is the person in charge of the anomaly project, but also because he has seen three paragraphs of memories of the old universe civilization and even communicated face-to-face with the observer civilization.
All clues indicate that the sacred relic is probably not an extraterrestrial civilization, at least not the extraterrestrial civilization imagined by other high-level people except him, but a piece sent to the solar system by the observer civilization is said to be The "things" that can change the fate of the universe.
According to them, it was a gift.
But for various reasons, like many errors in the experiment, this gift not only arrived in the solar system many billion years in advance, but also fell on a civilization that had nothing to do with their plans.
From this perspective, there is no small possibility that it comes from the old universe.
According to the content of the conversation recalled by Dr. Fan Tong, Lu Zhou can even make a bold assumption that the so-called disappeared Mars civilization may well be the
enlightenment
of that thing.
After all, they call it a "sacred relic" ...
"Is resolving the abc conjecture a prerequisite for dialogue?"
"I also thought that the first dialogue between human civilization and other civilizations would probably start with the disassembly of a large prime number, or other simpler questions in form ..."
"Go straight to mathematical conjecture. The threshold is too high."
Unlike concise and easy-to-understand numbers like Pi and Planck's constant, mathematical conjectures involve not only mathematical laws, but also the understanding of mathematics by human mathematicians.
At least in Lu Zhou's opinion, if it is for communication, greeting with mathematical conjecture is definitely not the best choice.
Of course, the premise here is for communication.
If it is purely for "temptation", then there is another story.
Perhaps it was his own illusion. After reading the project's work log, Lu Zhou always felt that although this "sacred relic" was curious about human civilization, it didn't seem to feel like he wanted to communicate with them.
What do you say?
At least in his opinion, the topic really meant something "embarrassing".
Just as Lu Zhou thought about a blank piece of draft paper thoughtfully, the laptop next to it was at the bottom corner again, and suddenly a bunch of bubbles popped up.
[Master, there is new mail! (????????????) ????]
New mail?
Thinking about who would email himself at this time, Lu Zhou said.
"Help me open it."
The bubbles disappear.
With the browser open, the email quickly appeared in front of Lu Zhou.
The content of the e-mail is very short, even as short as one sentence
[I've waited for you for half a year, and presumably asked, have you finished the things at hand? 】
Settlement name
Satoshi Nakamoto.
Originally when he saw the letter, Lu Zhou had some inexplicability in his mind, but when he saw the name of the deposit at the back, he immediately reflected what the email wanted to express.
At the same time, the expression on his face became weird.
About the end of last year, when I had just completed the qubit computer and the "Void Theory", the anonymous address with Satoshi Nakamoto sent an email to himself saying that he was planning to discuss academic issues with himself.
Out of curiosity about the mysterious founder of Bitcoin, he seemed to have promised him at that time, and after finishing the matter at hand, he returned an email to him.
As a result, I went to Stockholm later, and encountered a spicy excitement on the way to Copenhagen on the cruise ship turnaround, so that he returned the agreement to the forgetfulness after returning home.
But to be honest, this is not his pigeon.
After all, it seems that he has never dealt with "the matter at hand ..."
Even now.
Looking at the e-mail, Lu Zhou couldn't help but be in trouble.
How to do?
No mood to discuss cryptography ...
Anything to discuss about that thing.
Just as Lu Zhou was wondering if he should just mumble on it, suddenly he had a clever idea and thought of a brilliant idea, so he quickly typed an email by typing on the keyboard.
[... I'm sorry I didn't respond to your message in time. After returning from Stockholm, too many things prevented me from getting away, such as the subject I am studying at the moment. 】
[Of course, it would be better if you could help me with this trouble. I promise that whatever you want to discuss, I will be there. 】
This is probably the most euphemistic rejection.
Lu Zhou smiled embarrassedly. At the end of the email, he typed abc's guess intact, clicked the send button, then closed the laptop, and continued to face the draft paper on the table. Initiated a stay.
Time passes by every minute.
Just as Lu Zhou had gradually entered the state ~ EbookFREE.me ~ when this episode was almost left behind, his mobile phone screen suddenly flickered.
[Master, your reply! (????????????) ????]
reply?
Is it so fast?
Looking at the string of bubbles on the phone screen, Lu Zhou froze.
Curious about the content of the reply, he couldn't help turning the computer back on and logging in to his mailbox through a browser.
Like the previous email, this reply also has a short line.
[I just researched this problem. If you are interested, I will put it in the attachment. 】
Lu Zhou "... ????"
xuebadeheikejixitong
.