Chapter 1378

ABC conjecture is different from other mathematical conjectures. Its biggest difficulty is not in calculation, nor in the abstract nature of proposition itself, but its existence is completely counter intuitive.

In short, there are three numbers a, B and C, in which C = a + B. if these three numbers are prime, then the multiplication of these three unrepeated prime factors leads to D. It seems that D is obviously larger than C.

For example, a = 2, B = 7, C = a + B = 9, d = 2 × 7 × 3 = 42, in which D is obviously much larger than C.

However, it seems that there is nothing wrong with this statement, but the fact is quite contrary to people's intuition.

There are not only counterexamples, but also many.

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

Later, mathematicians went back to the second place and modified Joseph ostali's original expression. They enlarged rad (ABC) and replaced it with an R power greater than 1, which is called rad (ABC) ^ (1 + ε).

That is, when ε is any real number greater than zero, the counterexample of D = rad (ABC) ^ (1 + ε) ＞ C exists!

However, the number of these counter examples is limited!

Since this problem was put forward, because of its "counter intuitive" characteristics, it has been the first-class problem in the field of mathematics.

In the algebraic sense, there are infinite possibilities for the interaction between addition and multiplication. Therefore, the prime factors of two natural numbers and the sum of them should not be mathematically related.

But this is the magic of ABC's conjecture.

It connects two algorithms which are irrelevant to mathematicians in a magical way, and discusses the mathematical laws between them.

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

Like countless confrontations in history, scientific conclusions such as "Newton's inertia theorem" and "Galileo's leaning tower experiment of Pisa" which seemed to violate common sense at that time were successfully verified.

Moreover, after these counter intuitive theories have been proved, all of them have greatly promoted the development of science at that time.

Just like Professor Dorian Goldfield's evaluation of it, although ABC conjecture is not as well known as Fermat's theorem, many people are confused about why mathematicians should study a conclusion that both positive and negative seem to be true, but because of its unique counter intuitive characteristics, its value is not less than Fermat's theorem at all.

If this conjecture is proved, many famous Diophantine equations will be solved at one stroke.

Among them, Fermat 's law is included

After coming back from Professor Perelman, Lu Zhou went straight back to his office in several institutes.

Compared with the environment of the Jinling Institute of higher learning and the space launch center, he prefers the atmosphere of the Institute to study mathematics.

I asked assistant Zhao to make a cup of coffee and sat in the boat in front of my desk for a long time. I took a ballpoint pen out of the pen holder and thought quietly to a blank draft paper.

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

And about that so-called relic.

Compared with the manned denghuo office and Chang'an Street, he actually knows more about it.

This is not only because he is the project leader of 128 outliers, but also because he has seen three memories about the old universe civilization before, and even communicated face to face with the observer civilization.

All kinds of clues indicate that the 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.

But for all sorts of reasons, just like many errors in the experiment, this gift not only arrived in the solar system hundreds of millions of years ahead of schedule, but also fell to a civilization unrelated to their plan.

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

According to the dialogue recalled by Dr. Fan and Dr. Fan, the land boat can even make a bold assumption that the so-called lost Martian civilization may have been "enlightened" by that thing.

After all, they call it a "relic"

"Is solving ABC conjecture the premise of dialogue?"

"I also thought that the first dialogue between human civilization and other civilizations would probably start with the dismantling of large prime numbers, or other issues that are more concise in form..."

"Directly on the mathematical conjecture, the threshold is set too high."Different from the simple numbers such as PI and Planck constant, mathematical conjecture involves not only the laws of mathematics, but also the understanding of mathematics by human mathematicians.

At least in the eyes of Lu Zhou, if it's for communication, it's not the best choice to say hello with mathematical conjecture.

Of course, the premise here is for communication.

If it's just for "testing", then it's another story.

Maybe it's my illusion. After reading the log of project 128, I always felt that although this "relic" was curious about human civilization, it didn't seem like I wanted to communicate with them very much.

What do you say?

In his opinion, at least, the topic really means "embarrassing".

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

[host, there's a new email! (??)?]

new mail?

Thinking about who is going to email him at this time, Lu said.

"Open it for me."

Bubbles disappear.

As the browser opened, the email soon appeared in front of the boat.

The content of the email is very short, even to the extent that there is only one sentence in the text:

[I've been waiting for you for half a year, so I dare to ask you, have you finished the work at hand? ]

signed name -

Nakamoto.

Originally, when he saw the letter, Lu Zhou was still confused. However, when he saw the name of the post, he immediately reflected what the email wanted to express.

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

At the end of last year, when he just completed the 524 quantum bit computer and the "virtual space theory", the anonymous address with Nakamoto's ID sent an email to him, saying that he intended to discuss academic issues with himself.

out of curiosity about the mysterious founder of bitcoin, he seemed to have promised him at that time, waiting for the next thing After that, I'll send him an email back.

As a result, he went to Stockholm later, and met with spicy excitement on the way to Copenhagen by cruise ship, so that he forgot the appointment after returning home.

But to be honest, this is not his pigeon.

After all, it seems that he has never dealt with the "things at hand"

Even now.

Looking at the e-mail, Lu Zhou couldn't help but make some mistakes.

What to do?

I'm not in the mood to discuss cryptography at all

What's there to discuss about that.

When Lu Zhou was wondering whether to coo or not, he suddenly got a brilliant idea and quickly edited an email by tapping the keyboard.

【…… I'm sorry that I didn't reply to your message in time. After I came back from Stockholm, there were so many things that I couldn't get away from, such as the topic I was studying at the moment. ]

[of course, if you can help me solve this problem, it would be great. I promise I will accompany you no matter what you want to discuss. ]This is probably the most euphemistic rejection.

Lu Zhou smiled sheepishly. At the end of the email, he tapped ABC guess intact, clicked the send button, then closed the pen and continued to stare at the draft paper on the desk.

Time passes by minute by second.

Just as the land boat has gradually entered the state, and almost put this episode back in the mind, his mobile phone screen suddenly flashes.

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

reply?

So fast?

Looking at the bubbles on the mobile phone screen, the whole person of the boat was stunned.

Out of curiosity about the content of the reply, he couldn't help reopening the computer and logging in to the mailbox through a browser.

As in the previous email, this reply is also a short line.

I have just studied this problem. If you are interested, I have attached the proof method. ]

land boat: "...??"