Scholar’s Advanced Technological System

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 three numbers are prime, then the d obtained by multiplying the prime factors that do not repeat, looks like d Obviously larger than c.

For example, just give an example, a = 2, b = 7, c = a + b = 9, d = 2x7x3 = 42, where d is obviously much larger than c.

However, this statement may seem fine, but the fact is completely contrary to people's intuition.

Not only are there counter-examples, but there are many counter-examples.

For example, (5, 27, 32) this ternary array, d = 30, is obviously smaller than c equal to 32.

Later the mathematicians backed off and made a modification to the original formulation of Joseph Ostari, magnified rad (abc), and replaced it with a power of r greater than 1. It's called rad (abc) ^ (1 + e).

That is, when e is any real number greater than zero, a counterexample of d = rad (abc) ^ (1 + e)> c exists!

However, the number of these counterexamples is limited!

Ever since this question was asked, because of its "anti-intuition" feature, 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 have any relationship mathematically. of.

But 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-slaps in history, scientific conclusions such as "Newton's inertia theorem" and "Galileo's Leaning Tower of Pisa" that seemed to violate general common sense at the time were finally successfully verified.

Moreover, after these counter-intuitive theories were confirmed, they have, without exception, greatly promoted the scientific development of the time.

Just as Professor Dorian Goldfield's evaluation of it, although the abc conjecture is not as well known as Fermat's Last 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 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 back 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. 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 "relic 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 128 Anomaly Project, but also because he has seen three memories of the old universe civilization before, 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 the laws of mathematics, 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 work log of the 128 project, Lu Zhou always felt that although this "sacred relic" was curious about human civilization, it didn't seem to feel like trying 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, thinking about it, the laptop next to it was at the bottom corner, 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 email is very short, even as short as the body of the sentence:

[I've waited for you for half a year, presumably asking, are you finished with the things at hand? 】

Settlement name——

Satoshi Nakamoto.

Originally, when he saw the letter, Lu Zhou was still inexplicable. However, when he saw the name of the place behind the letter, he immediately reflected what he wanted to express in the email.

At the same time, the expression on his face became weird.

About the end of last year, when I had just completed the 524 qubit computer and the "Void Theory", the anonymous address with Satoshi Nakamoto sent an email to himself saying that he intended to discuss academic issues with himself.

Out of curiosity about the mysterious Bitcoin founder, he seemed to have promised him at that time, and after finishing the things 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 a cruise ship turnaround, so that after he returned to China, he forgot about the agreement.

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.

When Lu Zhou was thinking whether he should just mumble, he suddenly 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'm working on 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 knocked the abc speculation intact, clicked the send button, then closed the laptop and continued to the draft paper on the table Initiated a stay.

Time passes by every minute.

Just as Lu Zhou had gradually entered the state, and almost left this episode behind, his cell 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: "... ????"