"For another example, a=5 and c=31, a=13 and c=61..."
"We can find that it's all achievable!"
This Brazilian, probably named Ronald, listed seven sets of numbers, all of which came true.
At this moment, some people around were also attracted by the discussion here, and many people also came here. They were a little surprised when they saw Ronald's display.
It seems... something?
Can it really work?
But at this moment, after observing the formula, Lin Xiao suddenly said, "Try a equal to 29, and c equal to 67."
Hearing Lin Xiao's words, Ronald was taken aback, then found a calculator from the side, and tried it.
As a result, everyone was silent.
When entering the two values mentioned by Lin Xiao, the original formula can be divided evenly, but it cannot get a Mersenne prime number!
People around couldn't help looking at Lin Xiao in shock, how did he see it?
Chapter 1 It can be seen directly
For any conjecture, as long as there is such a counterexample, it means that the conjecture cannot be established, and it was only a mathematical coincidence that it was established before.
Without a rigorous proof, the correctness of any proposition is just a coincidence.
Just like Riemann's conjecture, people have found ten trillion points to confirm that Riemann's conjecture is correct, but they are still looking for more points, because as long as there is a counterexample, it can prove that it is wrong.
Therefore, the counterexample given by Lin Xiao also directly declared that the Ronal conjecture, which was born less than 10 minutes ago, was successfully falsified. The name of this conjecture is currently only known to two people, one is The proposer, one is the falsifier.
Ronald wanted to cry, but he discovered this formula a few days ago. After trying more than a dozen sets of numbers, he was convinced of it, and then he came here to make a blockbuster, but it didn't work. Thinking of it made me feel lonely.
The surrounding people who were originally watching also laughed.
Originally they thought that they would witness the emergence of a new achievement in mathematics, but they did not expect to set up an oolong.
And Ronald probably still had some emotions in his heart, so he couldn't help asking the question that everyone wanted to know: "How did you see it?"
Lin Xiao spread his hands: "It's good to see it directly. First of all, I know that when c=67, 2^67-1 is definitely not a Mersenne prime number. After that, I can add a to equal 29."
He has studied Mersenne primes for so long before, and he basically memorized the first twenty or thirty Mersenne primes. Naturally, he knew that when c=67, it would not be true.
But people are still a little hard to understand.
"But how do you know that if a=29, you can make them divisible?"
Lin Xiao shrugged: "Probably, you can feel it?"
Anyway, he just saw it at a glance.
This comes from the number sense. As the development of the brain reaches 3.4%, and his math level reaches the third level, his number sense has been strengthened again, so he can accomplish this kind of thing that seems unbelievable to others. It was a little easier for him.
When the people around heard what Lin Xiao said, they fell into disbelief again, did they feel it?
What kind of god is this?
Looking at this young man from Huaguo, they all felt a little unbelievable.
Doesn't he look like he's under 20 years old?
At this time, Ronald was ready to leave with the small blackboard. He came by car, and the car was nearby.
At this time, Ronal glanced at Lin Xiao's badge again. Because of Lin Xiao's action, the badge was turned over to the detailed information side. Ronal was stunned when he saw it, "Are you ……reporter?"
Seeing his gaze, Lin Xiao couldn't help but look down. There was the English letter "speaker" on his badge, which meant that he was different from ordinary participants.
He nodded and said with a smile: "Yes, the report I plan to give is also about Mersenne prime numbers. If you are interested, you can take a look at it then."
The people around were suddenly even more shocked.
If they were impressed by Lin Xiao's ability just now, it would be unbelievable to know that he was invited by the International Congress of Mathematicians to give a report.
At such a young age, he was able to report at such a high-level meeting...
They just couldn't believe it.
And it's no wonder that he was able to find the counterexample in the formula just now at a glance.
When Ronald heard Lin Xiao's words, he felt even more embarrassed. Is this the fake Li Gui meeting the real Li Kui?
He is only at a half-baked level, let alone whether he can understand those reports, even whether he can enter the exhibition is still a problem. After all, he does not have the participation card hanging around Lin Xiao's neck.
So he waved his hand, "Thank you, I don't need it."
Then, he ran away with the blackboard.
Lin Xiao felt helpless. As for running so fast?
run slowly...
"Boom!"
As soon as he said something in his heart, he saw Ronald's blackboard fell to the ground because of the roughness of the ground.
Lin Xiao shook his head, forget it, don't go shopping here.
Get ready to enter the venue.
But at this moment, a voice came from the side: "Excuse me, is this Mr. Lin Xiao?"
Lin Xiao was taken aback for a moment, then turned his head to look, and saw an old man in a suit coming over and shouting at him.
Seeing this person, Lin Xiao's eyes lit up, "Professor Pompieri!"
"Hehe, we meet again."
Pompieri came over. The last time he participated in the IMO, he was wearing regular clothes. Now that he put on a suit, he immediately felt the majesty of a professor.
Of course, although he feels more majestic, when he has a smile on his face, he is much more amiable.
"What is this doing?"
"Uh, I was looking at a Mersenne prime number judgment formula created by that gentleman just now."
Hearing Lin Xiao's words, Professor Pompieri couldn't help laughing: "Didn't you figure out the law of the distribution of Mersenne prime numbers? You still need to look at others?"
"I just want to see..." Lin Xiaogang wanted to explain, but suddenly realized: "Huh? Do you know what I did?"
"Hehe, because of a coincidence, I know." Professor Pompieri smiled and told Lin Xiao that Professor Sarnac and Professor Deligne had looked for him together before, and then said: "You, you have solved this problem." The problem, they didn’t even send me a separate email to talk about it.”
Lin Xiao scratched his head embarrassingly: "Sorry, professor, I was too busy with IMO at that time, so I forgot about it later."
"Haha, it's okay, it's at least a surprise to me."
Professor Pompieri waved his hand, expressing that he didn't care, and then said: "Are you going to the group speaker meeting? I happen to be going to another meeting."
"Yes." Lin Xiao nodded, looked at the time, and was suddenly surprised: "Ah, my meeting is about to start in ten minutes."
Before I knew it, I had stood here for more than ten minutes.
Professor Pompieri said with a smile: "Don't worry, there are still ten minutes left, let's go now."
Lin Xiao nodded and wanted to walk with Pompieri.
But suddenly someone next to him asked Pompielli: "Excuse me... are you Professor Enrique Pompielli from the IAS?"
Pompieri nodded with a smile: "It's me."
"Nice to meet you!" The man said excitedly, this is the winner of the Philippine Award!
"I'm also very happy." Pompieri responded politely, and then left here with Lin Xiao without stopping.
Seeing the old and the young walking farther and farther, the others couldn't help feeling envious of Lin Xiao.
Probably only this kind of young genius can communicate with the winner of the Philippine Award like this?
Chapter 1 One hour report? !
Lin Xiao and Pompieri walked into the exhibition center together, and the staff naturally wouldn't stop them.
Soon, at the parting place, Pompieri patted Lin Xiao on the shoulder and said, "Then I look forward to the day of your report, and I will come on time."
"Okay, I'm also waiting for your arrival." Lin Xiao nodded and said with a smile: "In short, thank you very much for the manuscripts you gave me. Without those manuscripts, I would not be able to produce this kind of results."
"But it's you who make those manuscripts valuable, otherwise, they can only stay in my bookcase until the day they rot, and I don't have the means to preserve them there." Pompi Eli smiled and said, "When the conference is over, I will burn your paper on Fibonacci numbers and your paper on Mersenne primes to Selberg."
"Tsk, the paper on the Fibonacci sequence was burned to tell him that my theory was correct, but the paper on Mersenne primes was burned to tell him that his theory was correct. Hey, if the old boy found out in heaven, I'm afraid Be happy."
The old professor shook his head, with a smile on his face, probably because he was happy for his lost friend.
Then he patted Lin Xiao on the shoulder, "Then let's go first, goodbye."
Lin Xiao nodded: "Goodbye."
Then he walked towards the conference room.
Soon, they came to the place, and there were more than a dozen people inside.
There are a total of thirteen people reporting in the field of number theory, so there are also several staff members.
One of the staff members saw him coming in, and saw that he was so young, so he thought he had gone to the wrong place, so he said, "Sir, there will be a meeting here soon, did you go to the wrong place?"
Lin Xiao said, "I'm Lin Xiao, and I'm also here to attend the meeting."
The staff member was taken aback, and remembered that there was indeed a reporter named Lin Xiao. He lowered his head and looked at Lin Xiao's badge. After confirming his identity, he couldn't help but feel embarrassed, and then quickly stepped aside: "Please come in." .”
After seeing Lin Xiao enter, the staff member was secretly surprised, isn't this too young?
Is there 20 years old?
Especially Chinese people generally don't look as precocious as foreigners, Lin Xiao still looks like a teenager.
And when Lin Xiao entered the meeting room, many professors sitting inside couldn't help turning their heads to look at him.
This reporter is a bit too young.
At this time, one of the reporters suddenly waved to Lin Xiao, "Lin Xiao!"
It is Chinese.
Lin Xiao was taken aback for a moment, then turned his head to look.
It is a face of Chinese descent and looks quite thin.
He stepped forward and asked, "Who are you?"
"Chen Wei." The man replied with a smile.
Lin Xiao recalled it for a while, and then remembered that this Professor Chen Wei is a professor in the Department of Mathematics of the Massachusetts Institute of Technology, and he is also from Huaguo.
When he came here before, he heard that this Chinese mathematician in the United States was also invited by the conference to give a report here, but he did not expect that he and he were both in the field of number theory.
As for the other party not returning to China, but staying in the United States, Lin Xiao did not comment on this, and it is impossible for him to mention this matter in front of others. He can only say that everyone has his own ambitions.
At least, this Chen Wei's nationality is still Hua, and has not been changed to the United States.
"I've heard of your name a long time ago. There is a genius in our country." Chen Wei said with a smile.
Lin Xiao smiled: "There is no such thing as a genius, it's just hard work. Edison has already said that genius is 99% sweat and [-]% talent."
Chen Wei shook his head: "That being said, we all know the importance of talent."
Although Edison's original words did not include the phrase "one percent of talent is more important" that has been rumored on the Internet, but in the scientific community, everyone obviously knows how important talent is.
"Forget it, let's not talk about this, when will you report? I didn't find your name on the official website."
"Not my name?" Lin Xiao was taken aback, "According to the email they sent me earlier, they arranged for me to be on August 8nd."
Seeing that Lin Xiao didn't know what was going on, Chen Wei said, "Let's talk about it later in the meeting, they may have an explanation."
Lin Xiao put aside the doubts in his heart for the time being, and didn't ask any more questions.
At this time, a person walked in from the outside. After seeing the person sitting inside, he came to the front and said with a smile: "Dear speakers, hello, I am Emmanuel who is in charge of academic conference arrangements." Carneiro."
"I've kept you waiting for a long time. I called you to this meeting today, mainly to answer your questions, and then let me tell you about our arrangements."
"But before that, may I ask if Mr. Lin Xiao is there?"
Lin Xiao raised his hand: "I'm here."
"Mr. Lin, it's a great pleasure to meet you. Due to the particularity of your report, according to the discussions between the organizing committee and several directors of the International Mathematical Union, we plan to arrange another one-hour meeting for you to facilitate You have more time to present your paper."
Emmanuel Carneiro smiled and said to Lin Xiao.
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