i revived the scientist

Chapter 335 The second question is solved, and the audience is boiling!
Half an hour was very long and tormented for the mathematicians on the field. Finally, when the door of the Merlin Tower opened again, Master Lu Zhishen held up the yellow scroll and said: "The above 11 people are mathematics researchers with correct answers. "

"I read the name, please enter."

Swish, the yellow roll unfolded.

"Deva, Luke, Pino, Gauss, Stevin, Pochettisky, Ivan Emily, Abbe..."

The answers of Gauss and Abbe are correct, and they are qualified to enter the tower at the same time!
"Sir, Professor Gauss and Professor Abe won the qualification to enter the tower at the same time. The two professors are really amazing." Ren Fengkai gave a thumbs up and said with great admiration.

"Well, they are the outstanding figures in the mathematics field of earth civilization. It is not surprising that they can solve difficult problems and be selected and get the qualification to enter the tower." Su Sheng smiled lightly.

The dazzling ones will always be dazzling. They are all real gold and silver in essence. Even if they are buried, if they are dug out, as long as they are placed in the sun, they will be dazzling. Su Sheng believes in the theory of innate talent, and his own efforts are important, but He is limited in height and has a low starting point, but what is his talent?Talent represents a person's starting point. With a high starting point, it is easier to achieve achievements than ordinary people, not to mention that the future development path is broad and broad?

Later, Master Lu Zhishen continued: "Next, the 11 of you have two choices. First, enter the tower to study and terminate the exam. Second, you have the courage to challenge, and those who fail will not lose their entry." Tower qualifications, but there may be damage to personal reputation."

Then Lu Zhishen added: "But maybe you will get a good reputation for being brave enough to challenge."

In fact, it may be true that academic scholars don't care about money, but when it comes to not loving "reputation" and not cherishing feathers, that's pure nonsense!And it's extremely nonsense!
As everyone knows, isn't one of those well-known big scientists all blessed with countless honors?You say they contribute to science and mankind?In a broad sense, this is undeniable, but when it comes to not seeking fame and fortune?Then why do you know his name?And do you worship and admire each other?Moreover, how many treasures are there for the touching deeds he has done and the outstanding achievements he has achieved?
People, you can look down on life, but after all, it belongs to the category of "people". There is a saying that the bustling world is for profit. Stay away as soon as possible, it's too scary, and try to think about how to harm people as a whole.

So, for these big scientific researchers, fame is the most important thing.

However, Gauss and Abbe looked at each other and expressed their wishes at the same time, "I am willing to continue taking the exam!"

Lu Zhishen glanced at Gauss and Abei in surprise. He personally checked the test papers of these two people, and it was brilliant. The solution to the problems was rather peculiar, and it belonged to the type of slanting swords. "Yes!"

Except for Gauss and Abbe, one after another, other mathematicians hesitated for a while, and all expressed their willingness to continue to take the exam and solve another problem.

Clap, clap... Hundreds of millions of viewers applauded, not bad!Dare to try, awesome!On the road of mathematics, overcoming thorns and thorns, one cannot be proud and complacent with a few achievements. It is necessary to maintain the original aspiration and carry forward the past.

Lu Zhishen said: "Next, the mathematicians who have obtained the qualifications to enter the tower will collectively continue the exam and answer the second and third questions. At the same time, I will publish the answer to the first question for mathematics lovers all over the world." Appreciate together."

With that said, a group of staff released eleven answer sheets and rebroadcasted them to all the virtual big screens to show the public. Lu Zhishen said: "In the announced answers, it is worth mentioning that there is a Mr. Gauss, His way of solving the questions is surprisingly consistent with the answer of Master Fei Yang, the question maker of our Merlin Tower. If it weren’t for Master Fei Yang, I would have almost doubted the authenticity of Mr. Gauss’s answer sheet. Here, please allow me I'm sorry to Mr. Gauss, I shouldn't doubt your mathematical achievements and the level of mathematical research."

Lu Zhishen bowed slightly, Gauss raised his head and smiled, waved his hands to express his indifference, then lowered his head to meditate and solve the problem.

Then, countless people focused their attention on the draft checking paper on Gauss's answer sheet.

As we all know, the product of all primes is negative one-twelfth, that is, the product of all prime numbers not exceeding n is less than 4n1. If p is used to represent a prime number, then it can be recorded that ∏p≤np<4n1. In fact, by more Deep tricks can greatly improve this estimate, because π(n)nlnn is known by the prime number theorem, so ∏p≤npen, that is, for any ε>0, there exists N(ε)>0 such that for any n> N(ε), all have ∏p≤np<(e+ε)n.

So what?

Gauss has his own unique thought and methodology.

For the current number X, if it is not determined to be a composite number, it is a prime number, insert it at the end of the prime number list, multiply X with all the numbers in the prime number list from small to large, and determine the product as a composite number, if X is Multiples of the current prime number are no longer multiplied by the next prime number.

So he began to analyze this problem-solving idea. When a number is judged to be a composite number, it must be filtered out through its smallest prime factor.

There is a problem-solving idea, and then the methodology and calculation formula need the help of Euler's achievements.

Define S ( x , y ) S(x, y)S(x, y), which means that in [ 2 , x ][2, x][2, x], after passing through all the prime numbers not greater than y, the The sum of numbers not judged to be composite...

Countless mathematics enthusiasts began to calculate, deduce, and repeatedly deduce, and finally turned into sighs and surprises.

"Can you solve problems like this? Improve your knowledge, increase your knowledge!"

"A clever problem-solving idea. With this clever idea, I can solve the Nage conjecture and Romano's number fallacy."

"The idea of ​​solving problems is important, but the methodology is equally important! Pay attention to the equations and formulas he used, which is a method of integrating functions, using sequence and model building. This brand-new method of mathematical formulas is a great pioneering work? Or was it ever Is there a deduction result of a certain mathematician in a similar set type?"

"Gauss? I remember him. He is really a rare mathematical genius. You see, he is young and handsome, and I happen to have a beautiful daughter. Well, yes, this kid looks more and more pleasing to the eye. She and my daughter are a match made in heaven!"

……

But at this time, Su Sheng looked bewildered. I am also a graduate of a prestigious university, and a man who once scored 99 points in high math. Why am I so confused?Of course, if he said he couldn’t understand anything, he would really be sorry for Hangzhou University Education. He could only see the first part of the application of Euler’s screening formula, and after that, he was at a loss.

On the field, 11 people, each buried their heads in meditation, began to calculate with the pen in their hands, and walked on the draft paper. In fact, when they reached the second question, the "candidates" were allowed to use computers and other scientific equipment, but the eleven mathematicians were all Without the use of advanced scientific research equipment, for mathematicians, advanced scientific research equipment cannot support what they think in their minds. The idea of ​​solving problems is the most important. As for non-digital calculations, there is no need for auxiliary tools such as computers.

Time slipped away again every minute and every second.

Dangdang!
Three gongs sounded, which means that someone has answered the second question.

The entire onlookers were in an uproar. Can anyone really solve the second question?
Since the Interstellar Mathematical Debate Contest was held, less than [-] people have been able to solve the second question, and there are more than [-] people in a billion years. It can be said that anyone is a "rare-in-a-thousand-year" mathematics talent. The second questioner is Master Lu Zhishen in front of you and Master Fei Yang mentioned above.

Lu Zhishen once solved the second problem more than 100 years ago and successfully entered the tower to study. In the next [-] years, he achieved a series of achievements and finally became a master of mathematics. This shows that it is difficult to get the title of master of mathematics. It actually took a hundred years!Moreover, Master Lu Zhishen is extremely talented. If he were replaced by an ordinary person, he might spend his whole life, and may not be able to become a "mathematical master" and be recognized by mathematicians until his death.

……

When Su Sheng looked up, it was Gauss!The "little prince" honored by the history of earth mathematics in the previous life means the real son of mathematics!

Just after the second question was solved, the other ten people shook their heads and sighed, some pondered, and some looked crazy... Then, Abe raised his hand, "I solved it!"

Whoa!

The whole audience was in awe, and then they were surprised, what day is it today, there are two dragons in one day!

As soon as Abe finished speaking, the little Pino raised his hand suddenly, "I figured it out too!"

Whoa!
The audience watching the broadcast was completely excited, an unprecedented grand occasion!
The three of them almost made three questions, which was really shocking and surprising.

“The interstellar math community is going crazy!”

"A grand math event? No, I think it's a grand math event!"

"I'm so excited! In one day, three people actually solved the second problem? Could it be that the exam questions in this year's Interstellar Mathematical Debate Competition are too simple?"

"Easy? The three questions are not a closed book, so they have been announced to the public. If you think it is easy...you can do it, you can go!"

……

"Organize the mathematics team to check the calculation immediately!" Lu Zhishen instructed the mathematics workers of Merlin Tower with a smile.

This year's math contest held by Melinta will be recorded in the annals of history!

Then, to everyone's surprise, the three Gaussians took their seats and continued to calculate the third question.

Hey!
What do the three of them want to do?
Could it be that……

The whole place was in a state of complete excitement, with whispers and discussions, and intense discussions in small and small groups.

"Tell me, among Gauss, Abbe and Pinault, who has a chance to solve the third problem?"

"I think Gauss may be able to solve the third problem. You haven't seen Master Lu Zhishen's high hopes and importance for him!"

"Gauss likes to go off the beaten path, but the subject of mathematics itself is very complex and needs to be studied in depth, and Pinault is more stable. From the ideas and methods of solving problems, it can be seen that Pinault has very solid basic skills. There is hope that we can pass the third level.”

"I am more optimistic about Abe. He is very tricky in solving problems, very novel and surprising, and he is steady and steady. He is most likely to break through the third problem!"

"Let's wait patiently for the results of the second question. Moreover, the debate and answer session has not yet started, and no one can say the final result. Maybe the answer to the second question of the three of them is wrong? All of them end at the second question, or , the three of them failed to pass the defense? All in all, wait for the result!"

Since it is called a mathematics debate competition, the word debate is about the interpretation of academics, answers, and mathematical views. After all, sometimes, the problems that Merlin Tower poses are difficult for even the master of mathematics who lives in Merlin Tower to study them thoroughly. At this time, the defense of the "candidate" is extremely important.

……

Su Sheng doesn't pay much attention to the results of winning or losing. Academic exchanges are about absorbing knowledge and learning more knowledge fields that are conducive to his own development. Besides, he is only interested in harvesting waves of technological points. The mathematics competition that came just to join in the fun, unexpectedly scored tens of millions of technology points for him!What a surprise!

This means that among the tens of billions of people who watched the scene, tens of millions of people became "fans" of Gauss and Abbe.

Half an hour later, the Merlin Tower Mathematics Group announced that the three people's ideas and methods for solving problems are good, but they need to discuss and explain in front of the world. The second question is correct!
In fact, there is no definite answer to the second and third questions. They are all mathematical questions of conjecture. Mathematics itself is rigorous and cannot be sloppy in the slightest. It requires countless people’s approval and repeated confirmation before the final answer can be determined. Mathematics The mysterious and attractive thing about guessing is that no one knows the correct answer. If you want people to believe that your answer is the correct answer, you have to make everyone think that your answer is correct.

Like 1+1=?Why is 2, everyone thinks the answer is 2, that is 2, 2 is the real answer, and it is also people's definition and understanding of 2!

The second and third questions belong to the unknown field of mathematics. If you want to verify and confirm the real answer, you must convince everyone!
(End of this chapter)