Terence Tao

But if the primes are structured, they can be structured in a specific way that eliminates the twins.

And we can't rule out that one conspiracy.

Right, yeah.

So the one funny thing about conspiracies is that any one conspiracy theory is really hard to disprove.

That, you know, if you believe the world is run by lizards, you say, here's some evidence that it's not run by lizards.

Well, that evidence was planted by the lizards.

You may have encountered this kind of phenomenon.

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.