There was another commotion at the venue. Academician Wang personally proposed the question, and the question was about the winner of this year's Chen Shengshen Mathematics Award!

Such a situation is rare, and everyone's interest is greatly increased. Those scholars and professors who originally thought they had the ability to compete for the Chen Shengshen Mathematics Prize are even more eager to do so.

What if the two young winners on the stage failed to solve the problem proposed by Academician Wang, but he did it... Although it would not overturn the result of the award, it would undoubtedly make him famous.

After a wave of competition, the winning rate of the next competition for the Chen Shengshen Mathematics Prize will undoubtedly increase greatly!

I heard Academician Wang say to Hao Jianchang next to him: "This question and answer session will be extended for one hour, to around 12 noon, okay? President Hao."

Hao Jianchang said hurriedly: "Of course there is no problem. Qin Ke and Ning Qingyun's academic lecture will be the last one in the morning. It was originally scheduled to end. Now it is extended by an hour. There is nothing wrong with it, right, Qin Ke?"

Qin Ke was a little stunned. Extend it by an hour? This old academician Wang is not going to create any problems to trick us, is he?

In fact, he didn't know any of the three elders, but Mr. Qiu's photos were often seen on the school website, so he recognized them, but today was the first time he met them.

Professor Zhou mentioned Zhou's conjecture before, and Qin Ke could also guess his identity.

As for Academician Wang... Qin Ke really doesn't know who he is. After all, there are too many elders in the mathematics community of Xia State. Qin Ke can only be regarded as a "newcomer" and he has been in school. How can he know many elders? But Tian Jianlan

The professors were all sitting next to me. I think this Academician Wang must be the top boss in the number theory field.

He glanced at Mr. Qiu and Director Wei Yuanfu next to Academician Wang, and saw that they were all smiling. He immediately said with a smile: "Of course, if I have the opportunity to listen to your teachings, Mr. Wang, it will be better if I have a few more hours."

worth it."

Academician Wang couldn't help but laugh, shook his head and said: "You boy, you are as smooth as the rumors say. Okay, if you are stumped by my question later, don't accuse me of being shady."

He then looked around at everyone: "Because the time will be extended, if anyone has other arrangements, you can leave first."

No one moved. Everyone was very curious about what question Academician Wang was going to ask, and they actually reserved an hour for answering it?

Moreover, Academician Wang has been "retired" for many years and rarely appears in public anymore. No one knows whether he has developed any new theories in the past few years. Who is willing to miss such a rare opportunity?

Academician Wang took out a piece of paper, and Hao Jianchang next to him took it and handed it to the staff to project it.

Soon the first question appeared on the big screen.

This question seems very simple at first, just a few lines of numbers:

"2,3,5,,,......."

"1,2,2,4,2,4,2,4,6,2..."

"1,0,2,2,2,2,2,2,4......."

"1,2,0,0,0,0,0,2..."

"1,……"

"Define d0(n) as the nth prime number, dk

1(n)=| dk(n)? dk(n

1)|, where k is a non-negative integer and n is a positive integer. Prove: for all positive integers j, dj (1)≡1."

Everyone stared at the title in stunned silence, feeling familiar but unable to remember what it was.

However, those present were basically the best in the mathematics community of Xia State. Someone quickly recognized them and said in a voiceless voice: "Gilbraith conjecture?"

Everyone gasped in unison.

Any mathematics professor with more than ten or twenty years of experience, even if he is not in the field of number theory, will have heard of this Gilbreth conjecture more or less.

If you write out all the prime numbers and then calculate the difference between adjacent prime numbers to get a new sequence. If you repeat this action infinite times, except for the prime number sequence in the first row, the first numbers of all other sequences will be

it's 1.

This is the Gilbreth Conjecture. Written in mathematical expression, it is the last line of calculation in the question.

This is a prime number conjecture in terms of stacking. It is not very well-known. It is even inferior to Brokar's conjecture and Jebov's conjecture.

This is not difficult to understand. Although it describes the interval between adjacent prime numbers and is one of the external forms of the distribution of prime numbers, even if it proves that the first number in the sequence is all 1, it does not involve the core of the distribution of prime numbers.

The law is far less important than Zhou's conjecture, let alone compared with the twin prime conjecture.

This makes its research significance not very significant. There are ninety if not one hundred similar conjectures, so there are not many mathematicians who are really willing to invest time and energy to prove it.

But no matter what, it is still a world-class problem that has dominated the world of mathematics for 60 years, and no one has been able to successfully crack it and prove it.

Could it be that Academician Wang actually wants Qin Ke and Ning Qingyun to prove the Gilbreath Conjecture on the spot?

Impossible, absolutely impossible. How can this be considered a world-class difficulty conjecture? How can it be conquered without spending a few years? Even if you are a genius, it will only take a month or two, right?

Unless Academician Wang had prepared in advance, the two young people had been thinking about it for a year and a half in advance.

But this is even more impossible. Academician Wang has always been upright and has a reputation for never committing fraud. Even if Qin Ke and Ning Qingyun were his grandchildren, there is no way he would do such a thing that goes against his true intentions.

.

And seeing the two young people on the stage looking extremely surprised, they probably didn't know anything about it.

Ning Qingyun even asked Qin Ke in a low voice: "Qin Xiaoke, what is this Gilbraith guess - ah!" However, after the last "ah", she realized that her voice had come out, and she blushed and stopped it.

The two of them stood on the stage, and the microphone was always on. Although Ning Qingyun lowered his voice, it was still transmitted through the loudspeaker.

This chapter is not over yet, please click on the next page to continue reading the exciting content! Everyone was startled, and then they all shook their heads with a smile.

Ning Qingyun's reaction that was so real that it could not be more real could not be fake.

But it’s strange. Didn’t Academician Wang come to stand up for the young couple? But Ning Qingyun didn’t even hear this conjecture! Could it be that there was an overturn on the spot?

Those teachers and friends who cared about Qin Ke and Ning Qingyun, such as Professor Tian, ​​Coach Deng Hongguo, and President Hao Jianchang, all straightened up nervously, secretly worried about the two children.

Under countless strange looks, Qin Ke quickly regained his composure and briefly introduced the Gilbreath Conjecture to Ning Qingyun.

Thanks to the fact that he had learned about most of the famous number theory conjectures in the world in order to choose a suitable "attack target", he came to know this Gilbreth conjecture.

Just as everyone in the audience was whispering and discussing, Academician Wang spoke again, and he said with a smile:

"Qin Ke, I heard that when you were at Princeton University, you went to the bar and solved two prime number propositions in half an hour. Of course, now that time is limited, you may not have inspiration immediately, but you can think of it within an hour.

What do you think of my convincing proof idea, even if it passes my first test? Of course, everyone here who is interested can also think about it together."

If you have an idea for an hour, that's already amazing.

Everyone present asked themselves for an hour to figure out the idea, but they really weren't very sure that it could be done, so they all nodded in agreement.

I heard Academician Wang say again: "Okay, let's get started."

The audience quickly fell silent, and those ambitious mathematicians immediately took out their pens and papers and eagerly began to challenge this world-class problem.

Not to mention whether it can be proved in the end, as long as we can come up with a more feasible proof idea before Qin Ke and Ning Qingyun, and get the approval of Dean Wang, then we can make a big appearance.

Qin Ke was also thinking about the question on the projection screen, but unlike most people who frowned and thought hard, he quickly found the idea of ​​proof.

This Gilbreth conjecture is very difficult in the eyes of others, but in the eyes of Qin Ke it is not that difficult. At least it is inferior to Zhou's conjecture. It is just a number theory game, and it can be really cut open to see

In essence, it has a certain internal connection with Brokar's conjecture and Jebov's conjecture.

With the "fourth-order transformation method of lime number theory" used to prove the latter two conjectures as a foundation, it is much easier to figure out the proof of the Gilbreth conjecture or even prove it. Qin Ke asked himself if he could afford it.

thirty minutes.

Even if Ning Qingyun were to prove it alone, it would only take about two hours.

He couldn't help but look up and saw three old gentlemen looking at him with smiles, and he suddenly understood.

These three old gentlemen must have carefully studied the video of their previous academic report at Princeton University, and even thought of how to use the "fourth-order transformation method of lime number theory" to prove the Gilbreth conjecture. It's just that they respect their identities and don't want to

The academic achievements of two juniors were used to get this honor, and then they were thrown out in this "question and answer" session, and the two juniors were asked to prove it in front of everyone, so as to completely stop everyone's criticism.

At the same time, they are also worried that they will be self-defeating. If the two juniors are nervous on stage and fail to prove it within an hour, they will easily be unable to get off stage. Therefore, they have the so-called minimum guarantee requirement of "proposing a proof idea within an hour will be considered a passing test."

Come.

After thinking about this, Qin Ke couldn't help but sigh that these three old gentlemen had really good intentions.

He looked at Ning Qingyun, smiled and asked softly: "How is it, Jun'er, do you have any ideas?"

Ning Qingyun glanced at the microphone, leaned close to his ear, and said in a voice that could only be heard by two people: "I think it should be proven using the 'Green Lemon Number Theory Fourth-order Transformation Method', so I used something similar to prove Brokar's

The idea of ​​​​guessing.”

The girl exhaled like blue, and the familiar lime-like body fragrance made Qin Ke feel itchy. He gave a thumbs up with a smile: "That's right. Let's work together to prove it. I'll leave the first two stages of transformation to you.

I will be responsible for the subsequent third- and fourth-order transformations. All hypothetical naming rules are in accordance with our usual rules, is that okay?"

It’s not the first time that the two of them have collaborated on a paper, and they study together every day. In terms of tacit understanding, there is no third person in the world who can be chosen.

Ning Qingyun nodded and said it was okay.

"The difficulty of this question is too low. I will give you another requirement to increase the difficulty. Your first two-order transformation is relatively simple. It needs to be completed within 20 minutes. Are you confident that you can do it?"

Ning Qingyun clenched her fists: "I will go all out!"

"Don't worry, you can definitely do it. Come on, let those who are unconvinced see our level!"
Chapter completed!