Terence Tao
π€ SpeakerAppearances Over Time
Podcast Appearances
There's almost no way to...
definitively rule out a conspiracy.
And the same is true in mathematics.
A conspiracy that is solely devoted to eliminating twin primes, you have to also infiltrate other areas of mathematics.
But it could be made consistent, at least as far as we know.
But there's a weird phenomenon that you can make one conspiracy rule out other conspiracies.
So, you know, if the world is run by lizards, it can't also be run by aliens.
Right, right.
So one unreasonable thing is hard to disprove, but more than one, there are tools.
So, yeah, so, for example, we know there's infinitely many primes that are, no two which are, so the infinite pairs of primes which differ by at most 246, actually, is the code.
So there's like a bound on the... Yes, right.
So, like,
There's twin primes.
There's a thing called cousin primes that differ by four.
There's a thing called sexy primes that differ by six.
What are sexy primes?
Primes that differ by six.
Got it.
The name is much less exciting than the name suggests.
Got it.