[Name: Lin Fan]
[Level: LV4]
[LV4 Reward: Gain 10 yuan for every breath; gain 10 yuan for every second of sleep; gain 10 yuan for every step taken. Rewards are credited daily at 24:00.]
[Upgrade Consumption Amount: 2.97 million / 10 million (Excluding gifts to others, gambling, etc. Additionally, all items obtained from the system are prohibited from trading)]
[Skills: Professional Driving Skills, Charm Halo (5% chance to trigger love at first sight, unforgettable), Violent Aesthetics, Drinking Gentleman, Absolute Focus (5% chance to trigger a flash of inspiration), Professor-level Math Experience, Eye of Truth, Professional Basketball Skills, Pianist Performance Skills.]
[Funds: 11.5 million]
Lin Fan glanced at the system list, closed his eyes, and fell into a deep sleep.
The next day, a ray of warm morning sun gently streamed through the window into Dorm 104.
"Ding-a-ling!"
Almost simultaneously, three different alarm sounds rang out in the dorm.
Then, Ma Zhong, Song Yi, and Zheng Jinbao, who had been sleeping soundly, all sat up from their beds and quickly got dressed.
Lin Fan couldn't help but wonder, "What's wrong with you guys?"
Yesterday, they had dawdled for a long time before reluctantly getting out of bed.
Today, they were completely different people.
"Teacher Tian Tian's class, it's Teacher Tian Tian's class!" Zheng Jinbao exclaimed.
Lin Fan was still confused, but he followed suit and got dressed and washed up.
Walking towards the classroom, Lin Fan looked at their anxious pace and asked, "Is this Teacher Tian Tian's class very important?"
"Important! Too important! I feel uncomfortable all over if I don't see Teacher Tian Tian for a day!" Zheng Jinbao said.
Song Yi said, "Brother Fan, hurry up! Otherwise, there won't be any seats later."
No seats? University classrooms are very spacious.
Lin Fan had been in class for the past two days, and there were always many empty seats in the classroom.
Today, there would be no seats? Lin Fan, full of doubt, finally arrived at the classroom.
It was only then that he understood why Song Yi and the others had said that.
There were still more than ten minutes until class started.
But the classroom was already packed with people.
Zheng Jinbao pointed to the seats in the back row and excitedly said, "There are still four seats there, let's hurry over before someone takes them."
By the time Lin Fan and the others sat down, all the seats were already filled.
And those who entered the classroom again, seeing the seating situation, could only sigh helplessly and leave.
Lin Fan asked, "Why are there so many people in this teacher's class?"
"You'll know in a bit," Song Yi said excitedly.
"Ding-a-ling!"
Just then, the class bell rang.
In an instant, the originally noisy classroom became as quiet as a falling needle.
"Tap, tap, tap!"
A series of crisp footsteps approached from far away.
Soon, an extremely beautiful woman walked to the podium.
She had a cascade of beautiful hair like a waterfall, and on her flawless, delicate face were willow-leaf eyebrows, phoenix eyes, a small, exquisite nose, and a lively cherry mouth, all meticulously carved by God.
A white dress outlined her perfect figure (oYo).
Coupled with the special charm she exuded... just one look at her made it impossible to look away.
Lin Fan couldn't help but observe with the Eye of Truth.
Appearance: 98 Favorability: 60 An appearance of 98! Almost a perfect score!
Sinking fish and falling geese, closing moon and shaming flowers. Perhaps, that was describing her.
No wonder the students in the class were so eager to attend her class.
Favorability, 60? Reached the passing line of 60 points! Her favorability towards him seemed quite good? Could it be that this was a teacher who treated every student as a friend?
At this moment, Hu Tian, standing on the podium, said, "Today, we will continue to explain advanced algebra..."
Her voice, like her name, was very sweet and magnetic, making people not want to miss even a single word.
A moment later, Hu Tian wrote a problem on the blackboard: Find all prime numbers p, q, r such that p^q + p^r is a perfect square.
"You can try to solve it," Hu Tian said.
All the students immediately picked up their pens and began writing on their scratch paper.
They thought of solving the difficult problem in the shortest time possible to gain Hu Tian's attention.
However, soon, the students started scratching their heads.
Because they had no idea how to answer.
Zheng Jinbao anxiously said, "Ma Zhong, you still haven't solved it? It's been so long!"
Ma Zhong said, "Don't rush!"
"Don't let anyone get ahead! If Ma Zhong can't solve it, then I hope no one else can!" Song Yi silently prayed.
Hu Tian's bright, watery eyes scanned the classroom, seemingly looking for someone who could answer the question.
Unfortunately, no one raised their hand to answer.
So, Hu Tian said, "Lin Fan, can you come up and solve it?"
Lin Fan slowly stood up.
Immediately, all the students' eyes fell on Lin Fan.
It was envy, it was jealousy!
Lin Fan didn't understand why this Hu Tian suddenly called his name.
He didn't seem to have raised his hand? Lin Fan first looked at the question on the blackboard, thought for a moment, then walked to the podium and picked up the chalk to write quickly.
If q=r, then p^q+p^r=2p^q, so, p=2, q is a prime number.
Therefore, (2, q, q) is a triplet of prime numbers that satisfies the condition...
In summary:
(2, 2, 5), (2, 5, 2); (3, 2, 3), (3, 3, 2); (2, q, q), (q >= 3)
Soon, the blackboard was filled with a large number of calculations, and the answer was finally obtained.
Hu Tian nodded and said, "The solution is very correct, and it's even simpler than the calculation method I had in mind."
Lin Fan said, "But, this is still not the simplest way to solve the problem."
"Oh?" Hu Tian immediately became interested.
Then, under Hu Tian's expectant gaze, Lin Fan wrote out the solution steps, which were almost half simplified.
After seeing it, Hu Tian's beautiful eyes lit up slightly, and she praised, "I didn't expect prime numbers could be calculated this way..."
After a slight pause, Hu Tian said again, "If we use this method, perhaps..."
Hu Tian couldn't help but quickly write on the blackboard.
Q=p1m1+b1=p2m2+b2...pkmk+bkQ=41=2m+1=3m+2=5m+1...
Not long after, Hu Tian stopped holding the chalk.
Then, she looked at Lin Fan with a look seeking help.
Lin Fan said, "Twin Prime Conjecture?"
Since gaining professor-level math experience, he had read a lot of math-related materials, and of course, he knew the world-class problem - the Twin Prime Conjecture.
Hu Tian nodded and said, "Yes."
Lin Fan picked up the chalk and quickly wrote below Hu Tian's writing.
However, even with Lin Fan's professor-level math experience and Absolute Focus, if he couldn't trigger the 5% flash of inspiration, he wouldn't be able to solve the Twin Prime Conjecture at all.
After a while, Lin Fan also stopped.
Hu Tian said, "What do you think if the calculation above is changed to p^q+xb=3m+2...?"
Lin Fan thought for a moment and shook his head, "No, but changing it to 5p5m+p^q..."
The two discussed while writing the solution steps.
Soon, the entire blackboard was filled with dense calculations.
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