Top Student at Their Peak
Chapter 37 - 37 37 The Terrifying Execution Power

37: Chapter 37 The Terrifying Execution Power 37: Chapter 37 The Terrifying Execution Power There are many intelligent people in this world, and a lot of people are clamoring that they will definitely strive hard, but those who truly have the ability to execute are few.

Coincidentally, in the Qiao Family, both Qiao Xi and Qiao Yu are strong executors.

This attitude of intermittently being full of ambition while continuously slacking off and waiting to die has nothing to do with these two.

Once they make up their mind, the next step is overcoming difficulties and fulfilling their mutual promises.

So right after finishing the meal, Qiao Yu carried the stored wine from home and went out the door.

After five trips, the living room and balcony of their home felt noticeably larger.

Indeed, while Qiao Yu was busy moving the wine out, Qiao Xi had already taken those piled-up wine cans on the balcony and sent them over to the grandma downstairs who liked to collect bottles to sell.

Out of sight, out of mind.

“I’m going to study,” said Qiao Yu.

“Wait a minute, you have to give me something to do.

If I can’t drink, I can’t just stay home scrolling through my phone all day, right?” Qiao Xi said with distress.

“How about playing mahjong?” Qiao Yu suggested.

“No, I don’t like it.” Qiao Xi shook his head and said, “This way, I’ll start learning to cook from tomorrow.

You study well, and I’ll research recipes online for you.

We can even invite Keke over for dinner on the weekend, so you shouldn’t bring food from outside anymore.”

Qiao Yu hesitated for two seconds, seemingly recalling some not-so-pleasant scenes, but in the end, he nodded firmly, “Okay!

But when you cook, you have to set an alarm to ring every five minutes.”

The biggest challenge hindering Qiao Xi from learning to cook is that he tends to zone out easily.

This also taught Qiao Yu from a very young age that any overly heated ingredient ends up being carbonized.

While carbon is edible, it doesn’t taste good at all.

But people need something to do to avoid boredom and idle thoughts.

Even if it’s a challenge to his weakness, Qiao Yu felt the need to be supportive.

As for himself, it was simply a matter of overcoming his aversion to difficulty and studying hard.

“Okay, I’ll remember to set the alarm.”

“Let me set it for you.”

“Oh!”

…

For others, studying hard might be a difficult task.

When Qiao Yu came to school the next day, he clearly felt that his deskmate seemed not in the best spirits.

“What were you doing last night?” Qiao Yu asked.

“Got tired of memorizing vocabulary, so I started memorizing formulas, all the way until 1 AM,” Zhou Shuang replied casually with a yawn.

It seemed this guy was serious; just not sure how long he could keep it up.

Qiao Yu didn’t say much, just reminded him, “You still need a balance of work and rest,” and then couldn’t be bothered to pay attention to this fellow anymore.

If he could truly keep it up for a week, then it means there’s still hope for him.

But it seemed like Zhou Shuang really got into a bout with studying, as he simply chatted a bit with Qiao Yu before picking up his 8th-grade English book again and quietly memorizing it.

A smart choice, as there was an English test scheduled for the morning.

As they say, sharpening your axe just before cutting doesn’t mean it won’t shine.

Just hope it’s more than just a fleeting moment of enlightenment.

Qiao Yu also couldn’t be bothered to pay attention to his hardworking deskmate and laid down to catch up on sleep.

He was really quite tired last night, all because he read that book sent by the good guy, “Introduction to Algebra and Number Theory.”

Perhaps it was a change in mindset.

What used to seem very difficult to understand, when he looked at it again, it felt quite interesting now, especially the analysis and properties regarding prime numbers.

It successfully rekindled Qiao Yu’s interest in mathematics.

This book simply discussed the Twin Prime Conjecture and the Riemann Conjecture.

This led Qiao Yu to further research the specific content of these two conjectures, which prompted a feeling of respect and awe towards past mathematics giants.

These people went to extraordinary lengths to solve this problem.

For example, to prove the Twin Prime Conjecture, contemporary mathematicians constructed a finite number system.

For instance, in a finite number system with only five elements, 4 plus 3 equals 2.

In this system, other operations must follow the same rules.

With this prerequisite theorem, the concept of prime numbers becomes meaningless.

For example, 7 can be directly divided by 3 to equal 4.

The reason is simple, in this finite field, 7 and 12 are the same as they both occupy the 2 position on a clock face.

Through this series of transformations, the Twin Prime Conjecture in finite fields becomes related to direct prime polynomials.

Of course, to truly understand this concept, one would also need to learn what prime polynomials and twin prime polynomials are…

In short, this mindset allowed subsequent mathematicians to transform integer problems into polynomial problems, and even the simplest finite fields can accommodate an infinite number of polynomials.

Through this approach, mathematicians proved that the Twin Prime Conjecture holds in finite fields: there are infinitely many pairs of twin prime polynomials separated by any arbitrary interval.

This deeply shocked Qiao Yu; it turns out mathematics could be used in such a playful way…

When there’s no tool to solve a problem, invent one yourself.

It’s like when you’re playing a game and get stuck at a certain level that seems impossible to beat.

The player can transform into a magical artifact creator; with enough imagination, you can forge a wand that, upon merely touching the boss, instantly deducts 9999 health points…

Of course, the construction of this wand must be reasonable within the grand framework.

Isn’t this much more interesting than playing games?

Especially when Qiao Yu found out during his research that prime numbers are nearly integral to all mainstream modern internet encryption systems, it sparked his immense interest.

For example, the most widely used RSA encryption algorithm relies on the mathematical property that the product of prime numbers is difficult to factorize.

The core of encryption and decryption depends on Euler’s function φ(n) = (p−1)(q−1) and modular exponentiation.

In simple terms, when two large primes p and q are chosen randomly and others don’t know their values, it becomes extremely hard to calculate φ(n) from N.

Aside from this, Diffie-Hellman key exchange, elliptic curve cryptography are also closely related to prime numbers.

In other words, if he can completely grasp the secrets of prime numbers, for instance, finding a method to quickly factorize prime numbers, it would render the mainstream encryption algorithms of the internet useless against him.

The potential earnings seemed unfathomable to Qiao Yu.

Especially in the financial sector, digital signatures, authentication, even blockchain technologies, rely on RSA/ECC signatures and a heap of other encryption algorithms, subsequently leaving smart contract systems vulnerable to tampering.

Honestly, after seeing such a promising financial future, what once seemed like difficult mathematics suddenly became intriguingly interesting, so much so that last night he directly studied until 3 AM and still felt energized.

If Qiao Xi hadn’t gotten up at night and forced him to sleep, Qiao Yu might have spent the entire night studying prime number problems.

Indeed, mastering mathematics is truly profitable!