Chapter 271: Goldbach Conjecture

"Wow ... wow ..."
Zhaicheng Space Center, bedroom on the top floor lounge.
Zhang Zhai sat cross-legged on the ground, turning the book gently.
The title of the book is "Millennium Problem and Three Major Mathematical Problems of Modern Times"
Zhang Zhai is turning page by page. This book records the introduction of the mathematical conjectures and research progress of the Millennium Awards (the seven major mathematical problems in the world) and the three major mathematical problems in the world.
The seven major mathematical problems are the most famous mathematical problems with a reward of one million dollars for each problem.
Inclusion: np complete problem, Hodge conjecture, Poincaré conjecture, Riemann hypothesis, Young-Mills existence and quality gap, Nawell-Stoker equation, Bsd conjecture.
The Poincaré conjecture has been cracked by the Russian mathematician Grigory Perelman.
This mathematician who proved Poincaré's conjecture was a very special person. He was the first to reject the Fields Award, the highest award in mathematics, and also rejected the $ 1 million prize offered by the Clay Institute for Mathematics.
Zhang Zhai looked at the record and smiled, "This is a very pure mathematician ... well, more pure than me."
The reason why Zhang Zhai is going to read this book is because ... he wants to do something and get enough popularity points.
So he opened the book, and he only needed to crack any one of the ten mathematical problems to make a big sensation.
"One of the seven major mathematical problems has been proven, with six remaining. Two of the three major mathematical problems of modern times have been proven, and one remains ... No, strictly speaking, the three major mathematical problems of modern times have only been proven one. "
Zhang Zhai continued to look, he looked very carefully, thinking while watching, and choosing which question to study after thinking.
Three major mathematical problems in modern world, including: Fermat's conjecture, four-color conjecture, and Goldbach's conjecture.
Among them, Fermat's conjecture was proved by British mathematician Andrew Wiles in 1994, and Fermat's conjecture became Fermat's Last Theorem.
However, the four-color conjecture can only be regarded as barely proven. It was completed by American mathematicians Appel and Harken in 1976 with the help of a computer, which is called the four-color theorem.
Although it is proved by the exhaustive method of the computer, although it can be proved from the perspective of probability statistics, it still says that there is still no specific proof of thought.
The Goldbach conjecture is the most famous conjecture of the three major mathematical problems. From 1996, the Chinese mathematician Chen Jingrun advanced to 1 + 2. This is also the best result so far.
The last 1 + 1 has never been proven, because the previous method of proving 1 + 2 does not apply to 1 + 1 at all, and a new method needs to be developed, so to this day, it still plagues countless mathematicians.
"Seven problems or eight ... Which one to choose as the breakthrough?" Zhang Zhai turned the whole book over and over and murmured in his mouth.
"The Riemann hypothesis, or the np problem, or the Goldbach conjecture?"
"These three questions are relatively well-known, because the questions are simple and easy to understand, and everyone feels that they can answer them ..." Guess, I want to laugh.
"The title can be understood by anyone, but the connotation is so profound ..." Zhang Zhai's eyes moved on these three questions, and finally locked on Goldbach's conjecture.
"Goldbach's conjecture has the deepest connection with Hua Guo, and the best result so far was also introduced by Mr. Chen Jingrun, a Chinese mathematician." Zhang Di whispered.
"It doesn't make sense to prove that Goldbach's conjecture is not Chinese."
"Then start with Goldbach's conjecture ..."
Zhang Zhai's eyes firmed, and Shen Sheng said, "a1, help me collect all the proof ideas and relevant mathematical data of Goldbach conjecture so far."
"Okay, father," a1 said.
"Father, the relevant information is already displayed on the holographic screen."
Zhang Zhai looked up and looked at the holographic screen. Suddenly, Zhang Zhai looked at a1, "a1, do you have any way to prove Goldbach's conjecture?"
"Father, I can only say that after deduction, Goldbach's conjecture was correct, but ... in a short time, I could not give a proof of thought." A1 replied.
Zhang Zhai heard the words, shook his head, and began to look at the information.
The so-called Goldbach conjecture is simple: any even number greater than 2 can be written as the sum of two prime numbers.
But such a simple problem has made countless mathematicians exhaust their brains and spend their entire lives.
The so-called proof 1 + 2, proof 1 + 1, is actually a proof of Goldbach's conjecture from the direction of 殆 prime numbers.
殆 Prime numbers are positive integers with few prime factors. Now that n is an even number, although it cannot be proved that n is the sum of two prime numbers (prime numbers), it is enough to prove that it can be written as the sum of two unitary prime numbers, that is, n = a + B.
Among them, the prime factors (prime factors) of a and B are not too many, for example, the number of prime factors is only 1o. Use "a + b" to represent the following proposition:
Each large even number n can be expressed as a + B, where the number of prime factors of a and B is no more than a and b, respectively. Obviously, Goldbach's conjecture can be written as "1 + 1"
Therefore, just need to prove 1 + 1 to prove Goldbach conjecture.
"The title is very simple, and the proof of thinking is very clear. Using the sieve method is sufficient to prove that 1 + 2 ... but ... 1 + 1 is not applicable to any previous method. It seems ... I have to be busy." Zhang Zhai Slightly smiled.
"Spider, get me a stack of manuscript paper ... forget it, just move a box of a4 paper over and take two boxes of gel pens and two boxes of marker pens!" Zhang Zhai shouted at the door.
The spider standing at the lounge door hesitated after hearing the words, and he was a little skeptical that he had heard it wrong.
"Is it a box of a4 paper? Mr. Zhang?"
"Yes! Hurry up!"
"Okay, Mr. Zhang!"
...
Five minutes later, the spider carried a box of a4 paper, two boxes of gel pens and two boxes of marker pens.
After the spider turned around, Zhang Zhai took out a pen with excitement, and a stack of manuscript papers began to calculate.
Goldbach's conjecture is definitely a big problem, it can be said to be a bright pearl in the palace of mathematics.
But because it is difficult enough, Zhang Zhai is so excited! Even to the extent of excitement!
He didn't believe that there were any problems in the world that he couldn't solve at all!
"A1! Turn off the holographic screen." Zhang Zhai said.
"Okay, father!"
Zhang Zhai took a deep breath, dispelled the thoughts in his mind, and then solemnly wrote the title of Goldbach's conjecture on the first page.
Then ... Zhai Zhai did not choose to face the ultimate proof step of 1 + 1 directly, but chose to start from 9 + 9 and follow the same path as the predecessors.
"Wow ... wow ..."
Without thinking long, Zhang Zhai began to prove.
One page, two pages, three pages ... When the fifth page is removed from the top.
9 + 9 proved ...
Then ... it's 7 + 7 ... 6 + 6 ...
Zhang Zhai's brushwork has never stopped, and these relatively simple proof processes have not stopped him at all for even a second ~ EbookFREE.me ~ and then ... 5 + 7 ... 4 + 9 ...
When this step was proved, suddenly ... Zhang Zhai's fluent proof was interrupted.
Zhang Zhai held the tip of the pen in his hand and hovered in the air without falling.
The nib trembled a little, and Zhang Zhai frowned, staring at the page without moving.
Time passed by one minute and one second ... until three minutes later ... Zhang Zhai was like a stagnant body, and finally resumed his movements. He again performed 5 + 5 with extremely fast speed and extremely smooth strokes. Perfect proof.
...

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