early morning.

Wang Hao got up from his laziness and tried his best to restore the normal rhythm of life.

Run, exercise.

After running about six laps around the school playground, feeling a little heavy on his feet, he picked up his coat and walked towards the restaurant.

On the way, I met Professor Wang Huanxin who came for a walk.

Elderly people always like to walk in the morning and evening, and Wang Huanxin is the same. Walking around the school every morning, breathing fresh air and doing simple exercises can also improve his spirit.

"It's Wang Hao!"

Wang Huanxin turned his head and greeted Wang Hao, and the two walked forward together.

Recently, Wang Huanxin is in a good mood. He was specially promoted to full professor with his teaching expertise, and he got rid of the embarrassment that he is still only an associate professor after he is about to retire.

He talked to Wang Hao while walking, "Your research some time ago is amazing. Many people dare not touch Arting's conjecture and Arting's constant."

"I always thought that you attached great importance to teaching, but I didn't expect that you were also very strong in research and development. It's amazing, it's amazing."

"Thank you." Wang Hao expressed his gratitude politely.

"It's not being polite, it's telling the truth." Wang Huanxin sighed and shook his head, "I can't do it anymore. I knew from a young age that my talent is limited, and it is impossible to go far on the road of mathematics."

While talking, Wang Huanxin asked casually, "What research have you been doing recently?"

"Mersenne prime number." Wang Hao said four words very simply.

Wang Huanxin was taken aback when he heard this, and smiled wryly, "Mathematics is, the simpler it is, the more difficult it is. Mersenne prime numbers, this is not a field that ordinary people can touch."

He suddenly said, "Speaking of Mersenne prime numbers, I seem to have read a report this morning, saying that a new Mersenne prime number was discovered, and it was discovered by a Chinese volunteer named Wang... Hao?"

Wang Huanxin glanced at Wang Hao, a little suspicious of his poor memory, immediately took out his mobile phone, put on reading glasses to look carefully, and smiled after a long time, "It's really Wang Hao, with the same name as yours, you said this Is it a coincidence?"

"Yeah?"

Wang Hao was also very curious. He leaned over and took a closer look. It was a report citing an English announcement, saying that he had discovered a Mersenne prime number from a Chinese volunteer...

Wang Hao?

"What a coincidence..." Wang Hao felt something was wrong as he spoke.

At this time, the phone rang.

It's Zhang Zhiqiang.

After pressing the answer button, Zhang Zhiqiang shouted excitedly, "Wang Hao, come to the laboratory, come to the laboratory! Great discovery! Great discovery!"

"coming."

Wang Hao nodded to Wang Huanxin with a promise, and then walked quickly to the computer laboratory building.

Wang Huanxin looked at his back suspiciously, thought about it carefully, and couldn't help opening his mouth, "This...isn't it possible?"

"Is there such a coincidence?"

...

The sixth floor of the computer laboratory building, the central laboratory.

Zhang Zhiqiang pointed to the computer screen and said excitedly, "Look! I saw it when I came here, and a new Mersenne prime number was detected."

"I looked at the records, and only detected the second number in 'File One', which happened to be a Mersenne prime number!"

"The official website of GIMPS has released the news, take a look! The new Mersenne prime number was discovered by Wang Hao, a volunteer from China!"

Zhang Zhiqiang kept talking excitedly.

In fact, he didn't have much confidence in finding Mersenne prime numbers. He just felt that he should participate in it. After all, it was a research test with a chance. He never expected that the program could successfully find Mersenne prime numbers only on the first night of its operation.

This is an exciting enough result.

Anyone can participate in the search for Mersenne primes, and GIMPS only said “volunteers” in the announcement. Those who found Mersenne primes were probably not scholars. For example, among the participants of GIMPS, there were dentists, couriers and other occupations who found Mersenne primes.

However, every time a new Mersenne prime appears, it will still attract international attention, and there will be many domestic reports.

The Academy of Sciences, the Science Foundation, the mathematics institutes of major universities, and professional academic media will all report on the news.

In addition, the emergence of new Mersenne prime numbers will also usher in a wave of "science popularization".

In some elementary and middle school test questions, there may be examples of Mersenne prime numbers being discovered. Considering that the discoverers of new Mersenne prime numbers are Chinese, perhaps the examples will also be named.

Although the research was completed by Wang Hao, he also helped to type the core code, and he also asked other people to help, not to mention the achievements, bonuses, etc., when there are reports, it would be nice to be mentioned. .

Wang Hao was also a little surprised, he still has knowledge of his own research.

Because he didn't fully study the law of Mersenne prime numbers, the judgment conditions he made were not accurate, but the "probability of being a Mersenne prime number" was higher.

File 1, there are twenty-six numbers in it, and the highest probability of determination is less than 6%.

The judgment probability of the second number is 3.98%. Compared with other discovered Mersenne prime numbers, the judgment probability is relatively smaller.

The result is really a Mersenne prime?

"Good luck!" Wang Hao couldn't help but sigh with emotion. If the prime analysis of all the numbers is done, it is not surprising that a Mersenne prime appears in it. It only appears when the second one is assigned, and luck has a lot to do with it. Element.

"I just wanted to try it at the beginning. From this point of view, the analysis still needs to go on." Wang Hao calmed down and said.

"Of course we have to continue. What if we find another one?" Zhang Zhiqiang was filled with beautiful longing. "One is already great, but if you find another one, you will become the number one Mersenne prime number."

While the two were talking, several doctoral students and graduate students had already come over.

They chattered and discussed, "Did you see the news? A volunteer named Wang Hao found a new Mersenne prime number."

"I feel that this Wang Hao is Teacher Wang Hao, otherwise there would be such a coincidence."

"Come on, it might be!"

They confirmed the news when they arrived at the entrance of the central laboratory.

Zhang Zhiqiang shouted excitedly, "Our research results have been found, and Mersenne prime numbers have been found. I told you to join in?"

"It really is!"

"This is too amazing, I found it in one day!"

"Teacher Wang Hao, have you already cracked the mystery of Mersenne prime numbers?"

This question is very critical, and everyone else has read it.

Wang Hao shook his head and said, "That's not true. I feel that even if Mersenne primes are regular, it is difficult to express them. The way I judge is to compare the existing Mersenne primes and make a probability judgment."

The others nodded in understanding, but they were still excited, "That's amazing too, it's possible to determine the probability of a Mason number."

"Is this the way to find the next one?"

"Find a number of one hundred thousand dollars, if it is more than 100 million digits, there are one hundred and fifty thousand dollars, I think I can find a few more..."

"It makes sense!"

Several Ph.D. students and postgraduates began to look at Qian.

Wang Hao shook his head with a smile and said, "Don't think too much about it, you are lucky to find one, but it is very difficult to find another one."

"Exactly, you are here."

As he spoke, he took out a large wad of cash from his bag, which was prepared yesterday, and simply distributed fifteen hundred-yuan bills to each student, "The extra five hundred yuan will be treated as a bonus."

Some students declined a few times before accepting it.

Now that they have found a new Mersenne prime, even if it's just for celebration, as a research participant, it doesn't matter if they get an extra five hundred yuan.

...

In the morning, the reports began to ferment.

The morning report was just a reference to the GIMPS announcement, but the more people saw the news, the more reports there were.

However, when the media reported it, they didn't know exactly which "Wang Hao" found the Mersenne prime, they just reported that it was "Chinese volunteer Wang Hao".

Wang Hao, this name is too popular. Some people think of Wang Hao from Xihai University, and they think it is impossible to be such a coincidence.

There are a lot of media reports, but the reports are almost all in the same format. First, it is stated that a new Mersenne prime has been found, and then it is said that it is from a domestic GIMPS enthusiast.

The following is an introduction to what is a Mersenne prime number, what is distributed computing, and the history of discovering Mersenne speed, and so on.

When the media continued to report, the central laboratory became more and more lively. People who knew that Wang Hao and Zhang Zhiqiang were researching "Finding Mersenne Prime Numbers" immediately came to see the report.

Including Chen Qinghua, including Qi Xiao, and others from the School of Information.

Even including Li Ming.

Li Ming came to the computer lab to look for Wang Hao that day, and he remembered that he said a Mersenne prime number, so he came to see the news, but he did not expect that it was Wang Hao who found the Mersenne prime number.

The few people who came were very shocked.

Whether it's Chen Qinghua, Qi Xiao, or Li Ming, they all thought it was a fantasy when they heard "finding Mersenne prime numbers".

A group of people piled up in the corridor, talking non-stop, "I saw this message in the morning, and immediately thought of Wang Hao, but I didn't expect it to be true."

"How did you find this? It's amazing!"

"Wang Hao, have you cracked the mystery of Mersenne primes, otherwise how could you find Mersenne primes so easily?"

Wang Hao was surrounded by a group of people and kept asking, so he had to repeat it again, "I just made a judgment compared with other Mersenne prime numbers, and it was really lucky."

"Sometimes luck matters too!"

Li Ming nodded vigorously and asked, "Tell me about the situation carefully. I'll go back and make an announcement at the school. This matter needs to be publicized to let them know that our mathematics research and computer research at Xihai University are all It's very powerful."

Mathematics Research, Wang Hao.

Computer research means writing code together and using equipment for computer experiments.

Of course, the school's publicity is not so clear, whether it is mathematics or computers, it is a good publicity for the school.

In fact, finding the Mersenne prime number itself would be good luck from the outside world, but Wang Hao is the first Chinese to find the Mersenne prime number, and he is also a mathematician, algorithm expert, and scholar.

This achievement is definitely worth publicizing.

After Wang Hao spoke briefly, Li Ming immediately went back to write the news announcement, revised it with several people from the office of the Science and Technology Department, and released the announcement--

Congratulations to Professor Wang Hao from our school for finding a new Mersenne prime.

With the help of Professor Zhang Zhiqiang and other students, Professor Wang Hao relied on his own research on Mersenne prime numbers. After nearly a week of hard work, he finally discovered a brand new Mersenne prime number using the computer in the computer laboratory.

M6XXXXXXX, the new Mersenne prime number...The following is the science popularization of Mersenne prime numbers.

After Xihai University's announcement was released, it was immediately reposted by various media, and it quickly became the top search list on the Internet.

Netizens who read the university announcement were very surprised that the so-called "Chinese volunteer Wang Hao" who discovered the Mersenne prime was actually Professor Wang Hao from Xihai University.

"Professor Wang Hao's luck is too good!"

"I remember seeing it a few days ago, saying that he was studying Mersenne prime numbers, and some people said that it was a waste of talent, but now he found a new Mersenne prime number?"

"You may not have noticed the key point. According to the announcement, Wang Hao found the Mersenne prime number in just a few days."

"I have been involved in GIMPS for several years, and it is too difficult to calculate a number now. I assigned a number two months ago, and I hang up for more than four hours a day, and I haven't finished the calculation yet."

"Even if he uses a better computer, and it's fully fired, it's probably two or three numbers? What kind of character is this?"

"Hearing what you said, Xihai University's announcement is too Versailles, isn't it? After a few days, he is still 'working hard'. What did he work hard for?"

As for the "relying on my own research on Mersenne prime numbers" in front of the announcement, it has been ignored by most people.

Mersenne primes?

Research?

If the Mersenne prime number can find the law, it is not to find a Mersenne prime number, but to find a set of Mersenne prime numbers.

...

While the media reports continued to ferment, Wang Hao finally sent the "onlookers" to the small office next to the central laboratory to start research with peace of mind.

It is really not easy, or even impossible, to find a definite law of Mersenne primes.

Wang Hao's research content is "the test algorithm of Mersenne prime number". When he wanted to try to do "the probability analysis that the exponent P corresponds to the Mersenne number is a Mersenne prime number", the inspiration value of "Task 2" was only 70 points.

Later, I wrote the code with Zhang Zhiqiang and the students, and in the process of building the entire algorithm, the inspiration value continued to rise, faster than the growth rate of teaching.

"It seems that leading the team to do projects and doing research together will also help increase the inspiration value." Wang Hao had a new understanding of the task inspiration value, and when he checked the task system, he couldn't help but smile.

【Task 2】

【Research Project Name: New Mersenne Prime Number Test Algorithm (Difficulty: A). 】

[Inspiration value: 101 points. 】

Have!

He immediately used 100 points of inspiration, the knowledge and inspiration in his mind, and quickly formed a complete pathway.

Then, he was a little surprised.

"Algorithm research, the results turned out to be mathematical? But that's right, it must be related to the law of Mersenne prime numbers, otherwise it would be impossible to use the exponent P to make a judgment."

"this……"

"It doesn't matter, write it down first!"

"..."

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