I reach the pinnacle of life by learning

Learning some mathematics knowledge is not too difficult for Qiao Yu now.

Even if he is studying a field that many people have never heard of.

Whether you are a category theorist or an applied mathematician, if you want to make a breakthrough in your research field, it is always right to learn the latest knowledge on a large scale.

If possible, it is best to have a private chat with leading scholars or industry experts who are researching this area.

Qiao Yu doesn't have this condition, but in today's society, the dissemination of knowledge is not considered blocked.

It is difficult to learn the cutting-edge mathematical theoretical knowledge in the last year, but if you study the last three years, as long as you are willing, you can always get some dry goods.

Qiao Yu has been busy with this matter throughout the summer vacation.

He has an IQ, a system, and Li Chujie's one-on-one tutoring.

But there is still a sense of inadequacy.

At the beginning, Li Chujie was able to answer the questions fluently, but as Qiao Yu deepened his study, the knowledge reserve of this Yanda professor seemed a bit stretched.

After all, the entire mathematics world is a very broad category, and it is common for fluid geometers and linear geometers to fail to understand each other's papers; let alone fluid geometers and number theorists.

Li Chujie asked: Do you want to study analytic number theory and prime numbers?

Qiao Yu: Yes.

Hearing this, Li Chujie gave a thumbs up immediately.

Li Chujie: /qiang

If mathematics is the field of geniuses, then those who have the courage to study number theory and achieve certain results must be geniuses among geniuses.

After all... Cough, there are too many scholars who have repeatedly gnawed at their laurels but failed to achieve results.

It would be even worse if someone suddenly burst out with a groundbreaking new paper.

In the next half a year, the job of most scholars is to study this paper to see if they can make money in related fields, or prove it wrong*.

The papers that Qiao Yu read were often fifty or sixty pages or even hundreds of pages, all of which were in English without exception.

The only Chinese book in it was left by Mr. Chen Jingrun.

Chu Xining also wanted to help share some of the burden, but Qiao Yu's progress was too fast. When he was still struggling with the proof process of the previous thesis, Qiao Yu had already jumped to the next one.

So, in the end, it became Qiao Yu's battle alone.

When the battle reached the week before school started, Qiao Yu couldn't help but slam into the wall too.

I have learned a lot of knowledge, but there is almost no progress.

"Write the p1, p2 points of prime numbers in increasing cardinality order, and the prime number interval is the integer p{n+1}-p_n..."

"The basic question is whether there exists a constant c such that p{n+1}-p_n/lt_c is always infinite."

"So, what then?"

And then, no more, he stuck.

Qiao Yu has never been in love, but now, he seems to be in love with the twin prime guess.

Not seeing it for 1 minute, thinking about it.

Open your eyes and close your eyes, it's all in your mind.

Qiao Yue was so worried about her son's condition that she didn't tell Qiao Yu much about the demolition of the old house.

The apartment that Qiao Qianlong left in the city center was finally about to be demolished.

Although there are only two people in their family, the demolition funds allocated are still very considerable, enough for ordinary people to lie down for a lifetime.

Qiao Haifeng, who was far away in his hometown, heard about this incident from somewhere, and wanted to share a share.

"Big sister, if you write one more person in your household registration book, you will get an extra apartment. That is a house in Tianhai. We are willing to pay [-] yuan for this quota! We are all relatives, so can't we help each other?" Qiao Haifeng His tone was full of encouragement, but Qiao Yue seemed a little absent-minded.

Qiao Yue's social experience has always been very shallow, but in the past few years she has been dragged by Qiao Yu to witness all kinds of big scenes. She has signed tens of millions of orders, and when she went to Xun'an Biopharmaceutical, she was called Qiao respectfully. In short, he even opened a store directly under his banner, so naturally he won't be coaxed by Qiao Haifeng now.

What's more, Qiao Yue understood very clearly that Qiao Yu hated this family very much, and even having a similar blood relationship could not alleviate the estrangement.

Now Qiao Yue has already changed places to live, and her life circles are not compatible.After she changed her mobile phone number, Qiao Haifeng lost her contact information.

Three days before school starts.

In the middle of the night, Qiao Yu put down his pen.Beside the table, there are draft books piled up as high as a hill.

Because he didn't know which drafts would suddenly become useful, Qiao Yu still hasn't thrown away these used drafts.

Qiao Yu frowned: "Join Flanders published a paper in the "Acta Mathematica", saying that assuming vartheta{1}{4}+omega,...using the same formula as before to define lambda(n), A condition can be attached to the index d, that is, the product of d divided by a prime number is less than x^{omega}. According to this idea, I only require the sum of small prime factors on d without square factors."

"System," Qiao Yu asked at this moment, "is my train of thought correct?"

"Wrong." The system replied without a trace of emotion.

Benefits given by the system: Each time you spend 100 points, you can make a correct or wrong judgment on Qiao Yu's thinking.

Qiao Yu was silent for a moment, and turned over the draft paper.

I don't know what other people's college entrance examination champions are like, anyway, Qiao Yu didn't have a very comfortable summer vacation.Seventh Middle School invited him back to school to give a speech, but Qiao Yu directly refused.The social status is basically 0.

Mental work is no easier than physical work, and even more exhausting.

Just as he was about to take a break, the phone vibrated slightly.

Qiao Yu took it over and took a look, and found that the system prompted that the Tech Tree APP had been updated.

The technology tree is an APP installed by the system for him.Qiao Yu tried it, but no one could see it except him.

Since upgrading to system version 3.0 two years ago, this system is no longer updated as if it has come to an end.

But that doesn't mean it's useless to Qiao Yu.

Regarding academic questions, as long as Qiao Yu asks for advice, the system will transfer a document to his mobile phone after deducting a certain amount of points.

Most of what it sends are papers or academic works that already exist in this world, and Qiao Yu needs to study them by himself.

But compared to searching aimlessly, a lot of energy has been saved.

For this update, Qiao Yu glanced at the announcement above.

The announcement said that it has been detected that the user has not purchased new products for more than a year, which coincides with the third anniversary of the user's use of this product, and the points mall is hereby updated.

The update is only 3MB, and it will not take more than three seconds from loading the resource pack to decompressing.

After the update was completed, Qiao Yu directly clicked into the Points Mall.

The product that ranked first was a book with only seven words on it, "Proof of Twin Prime Numbers".

Below is the list price, 1000 points, 1% discount for remarks.

Obviously, like other items, this is also a cheat given to him by the system.

The system said: "Now the system has been bound to the host for three years, and this is the third anniversary event. Today, all items in the mall are [-]% off."

Qiao Yu stared at it for a moment, then turned off the phone.

This is probably a great temptation for any scholar who is studying the twin prime number conjecture.It was the same for Qiao Yu.

It's like the Ming Dynasty hundreds of years ago. Even though they knew they would die, some people still flew to the sky with their own hang glider.

However, Qiao Yu could not accept this kind of victory.

It's not success, it's proving yourself to be a total failure.He knelt tremblingly in front of this monument, and every time his honor was mentioned by others since then, it was a kind of torture for himself.

If he really read it and plagiarized the paper according to the process written above, then he is just a plagiarist who deceives the world and cannot bear any glory.

The previous biological enzyme system also gave Ludwig an experiment manual, but the above only gave a general direction, and the rest were the products of Qiao Yu's step-by-step trial and error.

If he didn't want to publish Qiao Qianlong's posthumous manuscript, Qiao Yu might just read it.

The desire for knowledge is the constant pursuit of human beings, and Qiao Yu is a person who can't help but be tempted.

He will study hard and bury it in his heart from then on. He only smiles knowingly when he sees others sprinting repeatedly on the twin prime conjecture and brother guess.

But Qiao Qianlong has been dead for 13 years.

His grandfather had few relatives and friends, and even fewer heirs.I am afraid that the number of people who still remember him now will not exceed single digits.

Qiao Yu wanted to tell others that his grandfather had been here and had made a remarkable contribution to this world, at least he could be included in the annals of mathematics in Huaguo together with Chen Jingrun.

At the end of August, I don’t know how many freshmen bid farewell to their parents in tears and embarked on a long journey to study.

Qiao Yu also said goodbye to her mother.Compared with the others, he was more worried that Qiao Yue was alone in Tianhai.

Fortunately, there is a nanny and aunt to accompany her. She usually works in a dessert shop, so it is not too boring.

Song Tianyu, who was studying medicine, went to Yenching University with him.

When he arrived in Yanjing, Song Tianyu was dumbfounded when he compared the address.

The School of Life Sciences of Yanda University is located at the main campus, on the north side of Weiming Lake, facing Tsinghua University, but the School of Medicine is two streets away!

Two streets!

He went to see Qiao Yu, and it took him 15 minutes by car, even if there was no traffic jam.

As for chance encounters on campus, listening to academic lectures or visiting the library together, it is even more useless.

As soon as the two of them got off the plane, looking at the map, Song Tianyu's eyes darkened suddenly: "Why are you not in the same campus? Is there still time for me to change my major?"

Qiao Yu said "Hey": "Don't you really want to study medicine? How do you change your major? And you have been studying in this blog for eight years, can't you change?"

Song Tianyu replied aggrievedly: "...Oh."

It is also a metropolis. Compared with Tianhai, Yanjing is not the same as prosperous.This feeling is especially evident when passing by the Forbidden City by car.

Qiao Yu didn't like to bring too many things with her when she went out, she only brought toiletries and a few sets of clothes, and planned to buy the rest when she arrived in Yanjing, so she didn't drag her suitcase, so she just carried a bag.

Song Tianyu was even more exaggerated. He only brought the admission notice, a charging cable, a mobile phone, a bank card, three door cards, and a car key.

The door card is the access control card, elevator card and room card of a high-end residential area.

The other three are in Qiao Yu's hands.

Song Yiben originally wanted to buy a building near Yanda University, but it turned out that there were no suitable new buildings.After all, the commercial development here is early, and there are only a handful of new buildings.There were people watching everywhere.

So Song Yiwen chose to buy a large flat floor as his son's residence near the university.

The developer originally had a cooperative relationship with Song Yiwen, and planned to send a set directly, but Song Yiwen firmly refused, and the final cost of more than 300 square meters was less than 2000 million.

However, buying this house is not of much use, because Yanda requires students to live on campus.

Except those who go out for internships and those with infectious diseases.

Song Yiwen is a very shrewd businessman. He knows that if he accepts this apartment, next time out of face, the gross profit may be ten apartments.

Qiao Yu observed for a long time, but he didn't feel that Song Yiwen was going bankrupt now, instead, various industries were blooming everywhere.

He thought about it, and according to the timeline of his previous life, it would be more than two years before Song Yiwen went bankrupt, so he slowly relaxed.

If he can help change Song Yiwen's bankruptcy future, then Qiao Yu will naturally help, but if he can't...

For Qiao Yu now, raising one more person is not a big deal.

Compared with ordinary families, Song Tianyu's consumption is considered extravagant, but his life is not extravagant. At most, he buys new electronic products, occasionally goes abroad for vacation, and likes to eat Michelin restaurants everywhere. Generally speaking, he is still very easy to raise.

The author has something to say: *Note: After searching for a long time, I couldn’t find any information, so the ecology of the number theory academic circle in the article is purely based on the information (translated the catalog of "Mathematics Annals" with translation software, browsed the post bar, Zhihu, etc. ) to make a bold guess.