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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Appearances
So it's if I think I start with two two has so that's all no, let's see, two, three
Yeah, so so I did start with a what I'm gonna mark one for one just to start this kick off the sequence.
And then two is a prime number, it has only one prime factor, it's an odd number, three is an odd number of prime factors, four is two because it's two squared, so it has an even number of prime factors, and so on and so forth.
So five is prime, it has one odd number.
Six is two times three, so it has two, an even number of prime factors, so on and so forth.
It looks kind of harmless.
What's really interesting, so this is even number so
If you staring at this for a while, even it's very, very hard to to recognize a pattern.
And what's really interesting is that to know the parity of the next number, if you if you have an algorithm that can tell me the parity of this in an efficient way, you will have um an equivalent formulation of the Roman hypothesis.
So that's actually an extremely hard sequence to predict.
So if if you if you can tell me within with some confidence, more than 50% what the next non number is, um without looking up some table, then you can probably end up cracking every bank in the world.
Interesting.
Because this is equivalent to the Riemann hypothesis.
So I'm just giving three so trivial.
Kind of okay ish.
Um really, really, really hard.
So now you can think about a question.
How if I were to feed sequences like this into some neural network, how would a neural network do?
Um, so one way to do it, so this goes a bend.
So we go w way back to the very very beginning, to the question of what is mathematics?
Showing 661–680 of 1,500 · page 34 of 75
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