And what I want you to notice is that when you compute P of N
你们要注意的是当通过N计算P时
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的倍数
So the first person to notice this was Srinivasa Ramanujan
最早发现这一点的人是斯里尼瓦瑟拉马努金
In the beginning of the 20th century
在20世纪初
he proved that it was the case for all
他证明了所有全等于
numbers congruent to four mod five
4模除5的数字都是如此
So he proved that P of five N plus four
他证明了P等于的倍数加
is congruent to zero mod seven
等于0模除7
and that P of eleven N plus six
P等于11的倍数加6
is congruent to zero mod eleven
全等于0模除11
Good?
还好吗
You drive like an old lady
你开车慢死了
It's Florida, I'm blending in
这里是佛罗里达 我是入乡随俗
How was school?
在学校怎么样
Hmm, fun
挺有趣的
Not like regular school fun but interesting
不是普通学校那种有趣 但也不错
What is this book?
这是什么书
Discourse on Method René Descartes
方法论 勒内笛卡尔所著
What's it about?
讲什么的
Existence
存在
Existence?
存在
Yup "I think therefore I am"
是的 我思故我在
Well of course you are
你当然在
That's obvious
这很明显
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
它是只公猫 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 等停车后再开门
Then come to a stop already!
那就快停车啊