Terence Tao

So, like, conjecturally, we have a good model of them.

I mean, like, as I said, I mean, they have certain patterns, like the primes are usually odd, for instance.

But apart from these obvious patterns, they behave very randomly.

And just assuming that they behave... So, there's something called the Kramer random model of the primes.

That after a certain point, primes just behave like a random set.

And there's various slight modifications to this model, but this has been a very good model.

It matches the numerics.

It tells us what to predict.

Like, I can tell you with complete certainty the Trim-Priority Context is true.

The random model gives overwhelming odds that it's true.

I just can't prove it.

Most of our mathematics is optimized for solving things with patterns in them.

And the primes have this anti-pattern, as do almost everything, really.

But we can't prove that.

Yeah, I guess it's not mysterious that the planets are being random because there's no reason for them to have any kind of secret pattern.

But what is mysterious is what is the mechanism that really forces the randomness to happen.

And this is just absent.

Oh, yeah.

So it's a problem that you can explain.

It helps with some visual aids.