Yang-Hui He
speaker
1,500 appearances
1 recordings
1 series
first heard Jan 2025
last heard Jan 2025
Yang-Hui He’s voice in public audio — every appearance, attributed to the second.
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I plotted this and it's kind of a vr v really, really, you know, jaggedy
curve and it's a step function.
It's step it's a step function because it it it it jumps ever whenever you hit a prime.
But Gauss was just able to look at this when he was sixteen and said, Well, this is clearly x over log x.
How did he even do this?
Experience?
I mean, he had to do compute this by hand, and he did, and he got some of the wrong even.
Uh, you know, primes.
He had tables.
Uh, by by his time, the tables of primes were up in uh tens and hundreds of thousands.
He has to go up in the hundred thousand range.
And you can just look and this is x or log of x.
And then but this is very beautiful, it's very important because he was able to raise a conjecture before the method.
was even conceived of by by Coshi and Rima.
And that's a very important fact.
So he just kind of felt that this was x over log x.
And you had to wait for 50 years before Hademad and Delavai Poussan to prove this fact.
Um, because this technique known as which we now take for granted, this technique called complex numbers, complex analysis wasn't invented by Cauchy, uh, wasn't invented yet.
You had to wait for that to happen.
So that's kind of that's how it happens like this in mathematics all the time.
Showing 561–580 of 1,500 · page 29 of 75
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