I really just want to be a scholar

Chapter 159 Proof Method II

Yang Ye is pretty good at geometry, and he frowned when he saw this question.

After thinking about it for a while, I still haven't proved my idea yet. It is roughly estimated that it will take an hour and a half at the fastest to prove it with a certain possibility.

jump over!

Yang Ye made a decisive decision and looked at the second question.

Yang Ye: "..."

The second question is actually a number theory question, and it is a very difficult number theory question!

"2. Let P be a prime number, and given P+1 different positive integers, prove that such a pair of numbers can be taken out so that after dividing the larger number of the two by the greatest common divisor of the two, the obtained The quotient is not less than P+1."

In Mathematics Olympiad, geometry and number theory have always been difficult among the difficulties, such as the complicated geometric figure proof problem that made people dizzy, and this problem that only has a simple sentence, but it takes at least one day to solve it. A number theory question that takes a whole page and takes more than an hour to prove is enough to make countless candidates feel like a tiger.

There are many world-class problems in number theory, and most of them have not been cracked, such as the famous "Fibonacci sequence and Bezu number estimation", "NP complete problem", "Hodge conjecture", "Poincaré conjecture", "Riemann Hypothesis", and the "Goldbach Conjecture" that almost even non-mathematicians have heard...

This shows how difficult number theory is.

Of course, this number theory question is not so scary, but it is estimated that [-]% of the candidates will be blinded, and even Yang Ye has no confidence to prove it.

Damn it, is the question group of this year's national competition crazy?Didn't it mean that the difficulty of the questions is random? Why are the first two consecutive questions so difficult?Wouldn't it be a surprise attack, provoked by Qin Ke, and temporarily changed the paper?

Yang Ye cursed secretly in his heart, but then he thought about it, how could this be possible, the papers for the national competition were finalized and printed ten days ago...

Yang Ye thought hard for a moment and decided to give up.

Damn it, it's a bad start, and I want to show Qin Ke next to him what is the strength of a god of learning, but I didn't expect to encounter obstacles at the beginning!
At this moment, out of the corner of his eye, he unexpectedly saw a group of middle-aged and elderly people who looked like experts and professors passing through the corridor outside the examination room, and seemed to be heading towards the back door.

Yang Ye couldn't help but take another look curiously. That's right, most of these people are wearing glasses, and they have a pedantic demeanor, so it's not difficult to judge at all.

Moreover, Yang Ye also recognized a well-known mathematics professor from Chenghai City among them, so he joined the question group of this national competition after hearing about it.

Hey, could it be that the question group wants to see how they are doing?

It's not surprising that Yang Ye thinks this way. He was the runner-up in last year's National Mathematical Olympiad, that is, No.2, and he is also very famous in the National Olympic Mathematical Committee.

What's more, when he took the exam in Chenghai Middle School, teachers often came to see him to do the questions. In the words of the principal, "Seeing Yang Ye do the math questions makes me feel better than drinking Moutai for 20 years." To describe his speed and smoothness in solving problems is an eye-opener.

Yang Ye is always proud of it.

But... the problem is that in today's national competition, the first two difficulties are a bit too much!
Hearing light and chaotic footsteps approaching from behind, Yang Ye knew that those experts and professors were approaching, so he couldn't help crying secretly.

I didn't even come up with a single question, how could I pretend to be forceful?Maybe it will disappoint these experts and professors.

He flipped through the test paper in a panic to see if the questions on the second page would be easier, but he saw that the seventh question was another geometry question.

And it is another complex geometry proof problem that is daunting just looking at it!
Damn, what happened to the test paper this time?

Fortunately, Yang Ye was quick to wit, and quickly pretended to be "sweeping the paper" calmly, flipping through the paper slowly, as if he was just judging the difficulty of each question.

Of course, this will lose some of the godhood of learning gods to a certain extent, but it is better than not being able to do anything.

The only thing that comforted him was that, taking the opportunity of flipping through the papers, he quickly peeked at the candidates in front of him and to the left, and saw that they were all blue-faced and sweaty on their foreheads, and they were obviously stumped.

Oh, let me just say, even I can't do it, let alone other candidates.

After peeking at the left side, he habitually glanced at the right side casually, but unexpectedly found that Qin Ke had already started to write with a pen.

And it seems that Qin Ke didn't write it on the draft, but answered it directly in the answer area!
Is there any mistake, this kid found a simple problem so quickly and started to solve it?

Yang Ye couldn't sit still, and couldn't help but want to take a sneak peek at what question he was working on.

Huh?
Although I couldn't see the content of the question clearly, judging from the vaguely visible geometric figures, Qin Ke was working on the first question, the first geometry proof question that I thought was very difficult and time-consuming!

Qin Ke is crazy?He planned to spend all his time on this first question in this national competition?But even if it is, it's impossible for Qin Ke to come up with the idea of ​​proof in such a short period of time, right?Even if I focus on this question, I'm afraid I won't be able to figure out the entry point of the proof in less than half an hour!

Does this guy not understand at all, just writing nonsense?
When Yang Ye was thinking wildly, he heard a gasp coming from behind him.

He couldn't help but glanced back, only to find that there were five experts and professors standing behind Qin Ke, watching Qin Ke answer the questions, their faces full of shock.

Hey, didn't the experts come to see me to answer the questions?Why did they all stand behind Qin Ke?

And what's up with their expressions?Qin Ke answered so badly that the experts and professors couldn't bear to look directly at him?
It's not like... The expressions of the experts and professors are more like seeing some incredible and unbelievable scene.

Could it be... Qin Ke... really proved it?

Impossible, impossible, how could a mere bastard student, a guy in a weak province who sits in a well and watched the sky, easily solve a complex geometry problem that he couldn't prove himself?
It's impossible!

Yang Ye took a deep breath and wanted to concentrate on the paper and start working on the questions as soon as possible, but the "rustling" sound from Qin Ke writing quickly on the right seat was so harsh that the sound of writing could only be heard from one place in the entire examination room. , so that Yang Ye couldn't calm down at all.

Not only him, but even the candidates next to him couldn't help casting suspicious glances at Qin Ke's side, but when they saw several experts and professors standing behind Qin Ke, they immediately looked away in fright.

Even if their psychological quality is good, they feel uncomfortable when they think of several big bosses staring at them answering questions behind them.

But Qin Ke didn't seem to notice the gaze behind him at all, the pen in his hand moved like clouds and flowing water, and the sound of "rustling" fell on everyone's ears, like a storm!
The more Yang Ye forced himself to focus on the questions of the test paper, the more he was affected by the "rustling" sound. His mind was in a mess, and countless thoughts flashed in his mind:
"Is this guy writing nonsense?"

"But if you write nonsense, those experts and professors would have left long ago. It wouldn't be such a shocked expression!"

"Did he really think of the idea of ​​proof after reading the question?"

"But even if he has an idea, how can he write it directly in the answer area without going through the draft calculation? Isn't he afraid of making mistakes and altering it? If there are too many alterations and it makes it difficult to grade, points will be deducted! Even all points will be deducted There is no place to cry!"

He couldn't bear it anymore, and peeked at Qin Ke again, and immediately vaguely saw that the answer area on Qin Ke's left was filled with words, then Qin Ke stopped and began to write in the answer area on the right of the first question. up.

Although I can't see what characters Qin Ke wrote, judging from the trajectory of his strokes, it seems to be "proof method two"...

(End of this chapter)