689 twin primes

Lin Yuan looked at the napkin, only to see that there were twenty-four numbers written on it, each number was seven digits, Lin Yuan took it and asked Hilbert, "What should I see from above?" ”

Hilbert smiled and said, "Say what you see?" Please don't tell me you see a string of numbers. ”

Lin Yuan said: "These numbers are all odd numbers, I don't know if the road is prime...... Lin Yuan said and couldn't help thinking: "These are all seven-digit numbers, they are all millions of numbers, if you want to calculate whether they are prime numbers, then when will they be calculated." ”

Seeing Lin Yuan's embarrassed appearance, Hilbert smiled mildly and said, "Your knowledge is good, but it's a pity that you don't have enough talent in mathematics, I'm sorry, I'm going to continue thinking about the problem." After Hilbert finished speaking, he returned to the state he had just been, with a knife and fork in his hand, staring at the plate in a daze.

Lin Yuan thought to himself: "I can't understand it, but it doesn't mean that no one can understand it, I have one here, although Zhang Yuanyi is engaged in physics research, but in this era, there is nothing bad about physics and mathematics, because physics is mathematics to the depths." Lin Yuan thought of Zhang Yuanyi, so he began to look around, but he didn't find him after looking in the hall for a long time.

Lin Yuan was looking for it, and suddenly his eyes swept over a dining table on the side, only to see that Wang Genbao was chatting with Zhang Yuanyi at the dining table, and the two were chatting with their eyebrows, very speculative, not only that, looking at the situation of chatting, it was more like Wang Genbao was giving a lecture to Zhang Yuanyi!

Lin Yuan thought to himself: "Zhang Yuanyi, as a super genius, is actually listening to a chef's lecture, and I don't know what Wang Genbao is telling him. Lin Yuan walked up to the two of them and asked, "What are you talking about?" ”

Zhang Yuanyi smiled at Lin Yuan: "I was listening to Lao Wang tell me about cooking, I found that this is an area that I have been ignoring, he just told me about the method of fried shredded potatoes, I found that the knowledge is actually very deep, we take the taste of shredded potatoes as an objective function, and the variables that control it are the amount of salt added, the temperature of the fire, the cooking time, etc., there are a lot of variables in it, I want to build a mathematical model of these variables, and then make the best taste of shredded potatoes ......"

The two of them were talking, when they heard Wang Genbao on the side say: "The numbers on this cloth are so interesting!" ”

Lin Yuan almost fell to the ground in surprise when he heard Wang Genbao's words, and thought to himself: "He, a chef who only knows how to cook, can he understand the puzzles made by the top mathematicians in the world!" ”

Lin Yuan was just about to ask what the mystery of the numbers on it was, and suddenly it occurred to him: Ancient China did not use Arabic numerals, ancient Chinese numbers were represented by arithmetic chips, and China's application of Arabic numerals had to wait until the early 20th century, and this Wang Genbao was able to understand Arabic numerals! So Lin Yuan asked, "Can you read the numbers on it?" ”

Wang Genbao nodded and said, "Of course, I saw the literacy training class that Lin Shuai opened in Fengtian, and it was there that I studied. ”

Lin Yuan thought to himself: "It seems that our literacy work has made great progress!" Lin Yuan continued: "Then you tell me, what is the mystery of these numbers?" ”

Wang Genbao said: "There are a few numbers in this that are subtracted to get 2. As he spoke, he pointed with his finger, and Lin Yuan suddenly realized, thinking: "Just thinking about how profound these numbers are, I didn't expect to forget such a simple thing." ”

As soon as Zhang Yuan heard Lin Yuan's words, he immediately leaned his head over, just glanced at the numbers on it lightly and exclaimed, "Oops, who wrote these numbers?" The person who wrote these things is a master! ”

Lin Yuan hurriedly asked, "What's wrong with these numbers?" ”

Zhang Yuanyi said: "These numbers are prime numbers, also called prime numbers, and can also be called irreducible numbers. ”

Lin Yuan said in surprise: "These are all seven-digit numbers, you can actually know that they are prime numbers at a glance?" ”

Zhang Yuanyi asked Lin Yuan in surprise: "It's only seven digits, is it difficult to judge whether it is a prime number?" ”

Lin Yuan nodded helplessly and said, "These numbers were all written to me by Hilbert, and he said that if I want to chat with him, I have to tell him the secrets in the numbers." ”

Zhang Yuanyi said helplessly: "How simple is this, isn't what he wants to say is the twin prime conjecture?" Go tell him. ”

Lin Yuan asked, "Twin primes?" What do you mean? ”

Zhang Yuanyi said: "This is a famous mathematical conjecture, Hilbert mentioned it in his twenty-three questions, this is a mathematical conjecture with the same name as Goldbach's conjecture, its content is like this, in the prime numbers we already know, there are many prime numbers that are different from 2, such as 3 and 5, 7 and 9, etc., is such a number always existing?" Prove it or falsify it. ”

"This question has not been convincingly answered since it was raised, and then people have used computers to find such numbers, and now the largest number is more than 100,000."

Lin Yuan said: "Okay, just use this conjecture, let's go, let's go together and get him to China." ”

Zhang Yuanyi said: "What did you say? Use this conjecture to get Hilbert to China? ”

Lin Yuan said: "That's right, let's go, you cooperate with me, I can definitely get him to China, you go and chat with him, I will translate for you, the key is to use your ability to conquer his heart." ”

Zhang Yuan smiled and said: "I understand, you want to conquer him with science and technology beyond the times, he will definitely be interested, and then he will go to us, it's good, there is no problem, and I don't need you to translate for us, we are all mathematicians, and the communication between mathematicians does not need language." ”

Lin Yuan and Zhang Yuanyi found Hilbert, this time Hilbert had an extra glass of beer in front of him, Hilbert held a fork in his hand, stirring in the wine glass, looking at the whirlpool formed by the wine in a daze, Zhang Yuanyi walked in front of him, reached out and ripped off the pen he was holding in his chest pocket.

Zhang Yuanyi's action obviously made Hilbert very unhappy, Hilbert looked at Lin Yuan and said, "What's the matter with your friend?" ”

Lin Yuan hurriedly apologized, but Hilbert couldn't care about him anymore, he was already attracted by Zhang Yuanyi's following actions, only to see Zhang Yuanyi take a napkin, and then write a string of numbers on it with a pen, Hilbert was attracted by his string of numbers, Lin Yuan looked at those numbers, and found that they were every two in a group, and they were all 2, so he knew that he was also writing twin primes, but soon found that it was not the case, because several of them were even numbers.

Zhang Yuanyi finished writing more than two dozen sets of numbers, then drew circles on several of them, and pushed the napkin in front of Hilbert, Hilbert looked at the remaining groups of numbers, drew circles on several of them, and then waved a waiter and said, "Get me a stack of napkins." ”

The waiter next to him walked over, but instead of handing over the napkin, he frowned and said, "Sir, you can't scribble on our napkin." ”

Hilbert angrily said, "Hurry up! ”

But the waiter didn't look submissive at all, turned his face blank, and said angrily: "No! ”