Okay, so, uh, Stanislaw Ulam, brilliant mathematician, physicist, nuclear bomb, I, I seem to remember was involved with all of those shenanigans, and he got bored in a meeting one day and started doodling, and what happened next?

He took a piece of squared paper, and in the middle of this piece of squared paper, he wrote a one.

And then he wrote the rest of the numbers, two, three, four, in the squares on this squared paper, going around that center number one in a squared spiral going anticlockwise.

So you keep going until you've filled up your squared paper, and then you shade in the prime numbers.

So he started to notice that the prime numbers started to sort of form lines, diagonal stripes in this squared spiral.

Despite all the conjectures, hypotheses, and spirals, do we have any idea what's going on with prime numbers?

I think there's an inherent unpredictability in the primes.

So what we see by looking at the Ulam spiral is some structure in the primes that you might not expect, especially if you were comparing it with just random numbers.

And what happened next?

He took a piece of squared paper and in the middle of this piece of squared paper, he wrote a 1.

And then he wrote the rest of the numbers, 2, 3, 4, in the squares on this squared paper, going around that center, number 1, in a squared spiral going anti-clockwise.

So you keep going until you've filled up your squared paper, and then you shade in the prime numbers.

So he started to notice that the prime numbers started to sort of form lines, diagonal stripes, in this squared spiral.

Despite all the conjectures, hypotheses and spirals, do we have any idea what's going on with prime numbers?

I think there's an inherent unpredictability in the primes.

So what we see by looking at the Ulam spiral is some structure in the primes that you might not expect, especially if you were comparing it with just random numbers.