And what I want you to notice is that when you compute P of N
你們要注意的是當通過N計算P時
for N congruent to four mod five
N等于4模除5
the answer is a multiple of five
答案是5的倍數
So the first person to notice this was Srinivasa Ramanujan
最早發現這一點的人是斯里尼瓦瑟拉馬努金
In the beginning of the 20th century
在20世紀初
he proved that it was the case for all
他證明了所有全等于
numbers congruent to four mod five
4模除5的數字都是如此
So he proved that P of five N plus four
他證明了P等于的倍數加
is congruent to zero mod seven
等于0模除7
and that P of eleven N plus six
P等于11的倍數加6
is congruent to zero mod eleven
全等于0模除11
Good?
還好嗎
You drive like an old lady
你開車慢死了
It's Florida, I'm blending in
這里是佛羅里達 我是入鄉隨俗
How was school?
在學校怎么樣
Hmm, fun
挺有趣的
Not like regular school fun but interesting
不是普通學校那種有趣 但也不錯
What is this book?
這是什么書
Discourse on Method René Descartes
方法論 勒內笛卡爾所著
What's it about?
講什么的
Existence
存在
Existence?
存在
Yup "I think therefore I am"
是的 我思故我在
Well of course you are
你當然在
That's obvious
這很明顯
I think about Fred therefore I am
我思弗雷德 故我在
Cogito ergo, Fred?
我思弗雷德 故我在
He's a dude and he's a guy
它是只公貓 是雄性
And he only has one eye
只有一只眼
Fred Fred Fred!
弗雷德 弗雷德
Freddy Fred Fred!
弗雷德 弗雷德
All right, here we are
好了 到了
Hey! Wait till I come to a stop
喂 等停車后再開門
Then come to a stop already!
那就快停車啊