The ABC conjecture is different from other mathematical conjectures, and its greatest difficulty lies not in the computational or abstract nature of the proposition itself, but in the fact that its existence is completely "counter-intuitive".

To put it simply, there are three numbers a, b and c, where c = a + b, if these three numbers are coprime factors, then the d obtained by multiplying the three non-repeating prime factors will obviously be larger than c.

For example, if you take a random example, A=2, B=7, C=A+B=9, D=2×7×3=42, where D is obviously much greater than C.

However, this may seem like a good idea, but it turns out to be the opposite of what people intuitively think.

There are not only counterexamples, but also many counterexamples.

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

Later, mathematicians relented and modified Joseph Ostaly's original formulation by amplifying rad(abc) and replacing it with a power of r greater than 1, which is known as rad(abc)^(1+ε).

That is, when the ε is an arbitrary real number greater than zero, the counterexample of d=rad(abc)^(1+ε)>c exists!

However, the number of these counterexamples is limited!

Since this question was raised, it has been a top problem in the mathematical community because of its "counter-intuitive" characteristic.

In an algebraic sense, there are infinite possibilities for the interaction between addition and multiplication, so that the prime factor of two natural numbers and the sum of them should be mathematically unrelated.

But that's where the magic of the ABC conjecture comes in.

It magically connects two algorithms that mathematicians seem to have nothing to do with each other, and discusses the mathematical laws between the two.

Even if it seems wrong at first glance, no one can falsify it, and even according to the results of distributed computing, it is likely to be correct.

Just like countless slaps in the face in history, scientific conclusions such as "Newton's theorem of inertia" and "Galileo's Leaning Tower of Pisa experiment", which seemed contrary to common sense at the time, were finally successfully verified.

Moreover, after these counterintuitive theories were confirmed, they all had a great effect on the development of science at that time.

As Professor Dorian Goldfeld commented on it, although the ABC conjecture is not as well-known as Fermat's theorem, and many members of the public are puzzled by why mathematicians should study a conclusion that seems to be true and pros and securities, it is no less valuable than Fermat's theorem because of its unique counterintuitive properties.

If this conjecture is confirmed, many of the famous Diophantine equation problems will be solved in one fell swoop.

Among them, Fermat's theorem......

After returning from Professor Perelman's side, Lu Zhou went straight back to his office in the Academy.

Compared with the environment of the Jinling Institute for Advanced Study and the Space Launch Center, he still prefers the atmosphere of the mathematics academy when studying mathematical problems.

Asked Assistant Zhao to help make a cup of coffee, Lu Zhou, who was sitting at the desk after a long absence, took out a ballpoint pen from the pen holder and thought quietly about a blank piece of scratch paper.

In fact, at this moment, he is not just worried about simple academic issues.

And about that so-called "holy relic".

Compared with the manned fire office and the side of Chang'an Avenue, he actually knew more about the inside story.

This is not only because he is the person in charge of the 128 Outliers project, but also because he has seen three memories of the old cosmic civilization before, and even communicated with the observer civilization face-to-face.

All kinds of clues show that the holy relic is probably not an extraterrestrial civilization, at least not the extraterrestrial civilization imagined by other high-level people except him, but a "thing" sent to the solar system by the observer civilization that is said to be able to change the fate of the universe.

According to them, it was a gift.

It's just that for various reasons, like many errors in the experiment, this gift not only arrived in the solar system in an unknown number of billions of years in advance, but also fell to a civilization that had nothing to do with their plans.

From this point of view, it is quite possible that it came from the old universe.

According to the content of the conversation recalled by Dr. Fan Tong, Lu Zhou could even make a bold assumption that the so-called vanished Martian civilization might still be "enlightened" by that thing.

After all, they call it a "holy relic......

"Is solving the ABC conjecture a prerequisite for dialogue?"

"I was thinking that the first dialogue between human civilization and other civilizations would probably begin with the dismantling of large prime numbers, or other more concise questions in form......"

"Directly on the mathematical conjecture, this threshold is set too high."

Unlike simple and easy-to-understand numbers such as pi and Planck's constant, mathematical conjecture involves not only mathematical laws, but also human mathematicians' understanding of mathematics.

At least in Lu Zhou's opinion, if it is for communication, it is definitely not the best choice to greet with mathematical conjecture.

The premise here, of course, is for communication.

If it's purely for the sake of "temptation", that's another story.

Maybe it's his own delusion, Lu Zhou, who has read the work diary of Project 128, always feels that although this "holy relic" is curious about human civilization, it doesn't seem to be like a feeling of wanting to communicate with them.

What do you say?

At least in his opinion, this topic is really a bit "embarrassing".

Just when Lu Zhou was thinking about a blank piece of scratch paper, a string of bubbles suddenly popped up in the lower corner of the laptop next to him.

[Master, there is a new mail!] (????????????)???? 】

New mail?

Thinking about who would send an email to him at this time, Lu Zhou spoke.

"Open it for me."

The bubbles disappear.

As the browser opened, the email was quickly presented in front of Lu Zhou.

The content of the email is very short, even to the point that the body is only one sentence:

[I've been waiting for you for half a year, and I take the liberty of asking, have you finished dealing with the matter at hand? 】

Name of the payment -

Satoshi Nakamoto.

Originally, when he saw this letter, Lu Zhou was still a little puzzled in his heart, but when he saw the name at the back of the cashier, he immediately reflected what this email wanted to express.

At the same time, the expression on his face also became strange.

It was probably at the end of last year, when I had just completed the 524-qubit computer and the "Void Theory", this anonymous address with Satoshi Nakamoto ID sent an email to myself, saying that he planned to discuss academic issues with him.

Out of curiosity about the mysterious Bitcoin founder, I did seem to have promised him at the time that I would send him an email back when I had dealt with the matter at hand.

As a result, he went to Stockholm and encountered something so exciting on the way to Copenhagen on a cruise ship that he forgot about it when he returned home.

But to be honest, that's not a pigeon either.

After all, he seems to have never dealt with the "matter at hand......

Even now.

Looking at the email, Lu Zhou couldn't help but feel a little embarrassed in his heart.

What to do?

I'm not in the mood to talk about cryptography at all......

Anyway, there's something to talk about about that thing.

Just when Lu Zhou was thinking about whether to simply grunt, he suddenly had an idea and thought of a brilliant idea, so he quickly typed on the keyboard and edited an email.

【…… I'm sorry I didn't reply to your message in time, but there are so many things that I can't take a break from when I came back from Stockholm, such as the topic I'm working on at the moment. 】

[Of course, it would be great if you could help me solve this problem.] I promise that whatever you want to discuss, I'll be there for you. 】

This is probably the most euphemistic refusal.

Lu Zhou smiled embarrassedly, and at the end of the email, he typed the ABC conjecture unchanged, clicked the send button, and then closed the laptop and continued to stare at the scratch paper on the table.

Minutes and seconds passed.

Just when Lu Zhou had gradually entered the state and almost left this little episode behind him again, his mobile phone screen suddenly flickered.

[Master, your reply!] (????????????)???? 】

Reply?

So fast?

Looking at the string of bubbles on the mobile phone screen, Lu Zhou was stunned.

Out of curiosity about the content of the reply, he couldn't help but turn on his computer again and log in to his mailbox through a browser.

Like the previous email, this reply is just a short line.

[I just studied this problem, if you are interested, I put the proof method in the attachment.] 】

Lu Zhou: "......??? ”