Rebirth of science and technology academic master

Chapter 44 Mersenne Primes

Qin Yuanqing ignored the dazed girl and borrowed a copy of Basics of Modern Analysis of Didone from the bookshelf. Although it was only a basic book, there were still some things worth learning.

When Qin Yuanqing was reading a book introducing prime numbers, Mersenne prime numbers were mentioned in it, and he immediately became interested.

When talking about Mersenne prime numbers, we have to mention a great Chinese mathematician and his Messenne Prime Distribution Law published in 1992, which turned the Mersenne prime numbers into a formula that can be expressed by mathematical symbols, that is Internationally known as Zhou's guess.

Previously, although the English mathematician Shanks, the French mathematician Tolota, the German mathematician Burley Hart, the Indian mathematician Ramanujan and the American mathematician Gillis had all made speculations respectively. , but their guesses have one thing in common, that is, they are all presented with approximate expressions, and the degree of closeness to the actual situation is unsatisfactory.

The accurate formula of Zhou's guess: when 2^(2^n)\u003cp\u003c2^(2^(n+1)), 2^(n+1)-1 of Mp are prime numbers.

Looks simple, right?

However, just such a guess has not been proven or disproven so far. It has become a famous mathematical problem and has troubled the entire mathematical community for more than 20 years.

This year, Norwegian computer experts Oder Strindmer discovered the 47th Mersenne prime number, which is 42643801 of 2 by participating in an international cooperation project called the Internet Mersenne Prime Search (GIMPS). Subtract 1 to the power.” It has 12837064 digits. If this huge number is written down continuously in normal font size, its length will be more than 50 kilometers, but it is not as big as the Mersenne prime number discovered in 2007.

As for why people spend so much energy and money studying Mersenne primes, does it have any use?

It's actually of no use?

If I have to say it, the RSA algorithm counts. Every time I shop online, I have to thank the large prime numbers hidden in the password that cannot be broken down. At the same time, large prime numbers are also used to test computer performance. For example, Intel uses the GIMPS program to test chips, and BUGs were discovered in SKYLAKE chips.

In addition, there is actually no point in worrying about whether mathematics is useful. Many times, the motivation for trend mathematicians' actions is not necessarily how much economic benefit can be gained from solving a calculation, but because it is there.

Speaking more broadly, human beings cannot just live with what is in front of them, but also have poetry and a distant future.

As soon as Qin Yuanqing came into contact with Mersenne primes, he was very interested. He wrote Zhou's guess on a piece of paper, and then began to look for relevant research results.

Qin Yuanqing's roommates didn't know that Qin Yuanqing was trying to prove Zhou's guess about Mason's quality. After all, they were all preparing for tomorrow's military training.

Sunscreen, thick socks. . . . . . And the legendary military training artifact sanitary napkin!

Qin Yuanqing returned to the dormitory at eleven o'clock in the evening. The little fat man shyly took out a pack of sanitary napkins and gave it to Qin Yuanqing.

Little fat man, you took the wrong medicine. I'm not a woman and I don't have my period. Why did you give me a sanitary napkin? Qin Yuanqing said to the little fat man angrily.

Why is this little fat guy so wretched? A boy just goes to buy sanitary napkins and wants to give them to him. Doesn't this make him laugh?

The little fat man explained anxiously: Boss, this is for padding your feet. I checked with the seniors and found that there will be no blisters if you pad your feet.

Qin Yuanqing rolled his eyes and said angrily: I'm a child from the countryside. I just went through military training. I'm not that delicate. I even have blisters on my feet.

Qin Yuanqing didn't bother with this thing even if he was beaten to death. Isn't this a big joke? And he doesn't need this because of his physical fitness.

Early the next morning, the freshmen all took off their jeans, put on green military uniforms, and accepted the military baptism.

Everyone is here, stand at attention! News! Sit down! The military training instructor began to assert his authority on the first day. From the moment he stood in the military posture, everyone was miserable, and he also punished a few naughty ones.

The boys from the three classes were training together in the military training. There were not many people, seventy or eighty of them, just one queue. I don’t know if the instructors did it on purpose, but there was a female military training team near the two male military training teams. Whenever the boys were scolded by the instructors, the girls next door would laugh, which stimulated the boys’ self-esteem and tried their best. Military training on the strength of sucking milk.

Stand in a military posture, turn left and right, walk forward and backward, walk in step, and walk forward. . . . . . Under the military training of the instructors, the freshmen's discipline and posture became more and more like soldiers, and the daily folding of quilts and tofu cubes became more and more like a military camp.

Of course, military songs such as Green Flowers in the Army and We Soldiers are also indispensable. . . . . . Every day is full of students on campus, even when returning to class after military training, they walk neatly. Occasionally there are freshmen social gatherings in the evening, or instructors check the dormitory hygiene and give grades.

Qin Yuanqing participated in military training during the day and spent time in the library at night. As for the boys becoming warm men and buying breakfast and water for girls, sorry, that doesn’t belong to him.

On the fifth day of military training, the little fat man actually managed to seduce a girl from the finance department. When Qin Yuanqing found out, he had to give the little fat man a thumbs up, tough!

Between military training and library visits, Qin Yuanqing's life was boring and simple. Sometimes he would even turn off his cell phone while reading, and he would have to give various explanations if he didn't answer the call from the young lady.

As for the squad leader, he is not very competent and is basically left to the deputy squad leader and various class cadres.

On weekends, the intensity of military training weakened, and there was national defense education in the evening. The young lady returned to the capital and called him. Qin Yuanqing ran away after class, and was destined not to stay in the dormitory at night.

Seeing that Jingtian was driving a beautiful-looking red sports car, Qin Yuanqing felt envious in his heart. Such a sports car would cost millions to start.

can not afford! can not afford!

After having a late-night snack together, when they returned to Jingtian's house, Qin Yuanqing picked up Jingtian anxiously, kicked the bedroom open, threw Jingtian directly on the bed, and jumped on him.

I haven’t seen him for more than ten days. This is like trying to hold in your stomach until you see a sow.

After one exercise and three consecutive rounds, he was feeling refreshed. He hugged the beauty and chatted in a low voice. Qin Yuanqing talked about military training. For example, a girl liked an instructor and was chasing after him. For example, an instructor wrote a love letter to a female counselor.

Jingtian was talking about things in the entertainment industry. For example, The General of the Northern Wei Dynasty in which she starred was broadcast on Zhejiang TV Station, but the ratings were poor. Everything from the plot to the actors was criticized for being useless, except for the ending song Fireworks Easily Cold 》Except for good reviews, none of them have received good reviews.

Haha, it's normal, it's normal. Do bad movies always come out with great songs? Qin Yuanqing was quite proud.

You, don't care. Your Fireworks Easily Cold has reached the number one spot, with more than double the number of downloads than the second one. When people contacted you, you didn't even reply. They even called me. . Jingtian said angrily when he talked about this.

The results are so good!? Qin Yuanqing was a little surprised. He had not paid attention to Jingtian since he uploaded it to Kugou. After registration, he was either doing military training or going to the library. Who would pay attention to this?

Does that mean I can get a lot of money? Qin Yuanqing became excited when he thought of this. If the young lady hadn't been weak and limp now, Qin Yuanqing would have thought of doing it again.

The account is your own, don't you know it yet! Jingtian rolled his eyes, this prodigal!

Qin Yuanqing took Jingtian's notebook from the bedside. It was a pink ultra-thin notebook. Jingtian entered the password to unlock it. Qin Yuanqing secretly complained that it was such a simple password. What settings were there? He remembered it at a glance.

Qin Yuanqing entered his account and found that the balance in the account had reached 15.2 million. In less than a month, Fireworks Easily Cold had brought him more than 14 million in income.

So much money? Is it so easy to make money as a star?

How is it possible? It's because your song is very popular. Many people download lossless sound quality and download ring tones, which is why I have such a high income. Last year, I only had 300,000, and I still had to pay taxes! Jingtian said angrily, It sounds like making money is easy.

She worked hard for a year, but the result was less than Qin Yuanqing's.

You must know that she is said to have the most potential in level 07. With such a mix, it is even more conceivable for others.

Hey, I told you to register a studio before, but now you have to pay taxes... It hurts! Jingtian said.

Qin Yuanqing was dumbfounded when he thought that he had to pay 40% personal income tax. Before I went there, all he had received were bonuses, which were either tax-free or after-tax, and he did not need to pay tax. But now. . . . .

Qin Yuanqing immediately felt unsatisfied, and hurriedly held various discussions with the beauty, and finally decided to open Qingtian Entertainment, taking one character from each of their names. If there is anything in the future, it will be in the name of Qingtian Entertainment, and then there will be no need to pay. So high personal income tax, but corporate income tax, as for value-added tax? This thing can make a small profit or even a loss in accounting, so how can it be possible to pay VAT.

As for daily expenses, they can also be reimbursed by the company, perfect!

Jingtian said sourly that he also wanted to sing, but unfortunately there were no good songs.

Qin Yuanqing had just solved the tax avoidance problem and was in a good mood. After hearing what Jingtian said, he directly took some pieces of paper and wrote down a few songs: Wrong Wrong Wrong, Perfume Is Poisonous, The Wind Rises!

These three songs do not require too advanced singing skills, which are just suitable for Jingtian.

By the way, Qin, Yuan and Qing were all marked as composing the music, so the lyrics and music were all his.

Listening to Qin Yuanqing humming these three songs, the young lady was overjoyed.