Terence Tao

And there's various ways, as I said, you can modify the primes a little bit and you can destroy the Riemann hypothesis.

So it has to be very delicate.

You can't apply something that has huge margins of error.

It has to just barely work.

And there's all these pitfalls that you have to dodge very adeptly.

The prime numbers is just fascinating.

That's a good question.

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.