The Distribution of Prime Numbers: A Geometrical Perspective
https://blog.computationalcomplexity.org/2025/06/the-distribution-of-prime-numbers.html
> We [introduced](https://arxiv.org/abs/1801.01540) a prime number visualization called **Jacob’s Ladder**. The algorithm plots numbers on a 2D graph that oscillates up and down based on the presence of prime numbers, creating a ladder-like structure. The path ascends or descends based on the primality of subsequent numbers. When a prime number is encountered, the path alters direction, leading to a zig-zag pattern. Number 2 is prime, so it flips and goes down. Now 3 is prime, so the next step changes direction and goes up again, so we move up. But 4 is not a prime, so it continues up, and on it goes.
A nice little video also, further down the article.
https://youtu.be/DTImOesprL8?si=y4oVb6Wy0rnwPbv9
A colleague recently sent me this. Some here may appreciate this kind of fun with primes, similar to what I had shared a while back: https://stacker.news/items/755400/r/south_korea_ln by 3Blue1Brown.
https://stacker.news/items/1469158
https://blog.computationalcomplexity.org/2025/06/the-distribution-of-prime-numbers.html
> We [introduced](https://arxiv.org/abs/1801.01540) a prime number visualization called **Jacob’s Ladder**. The algorithm plots numbers on a 2D graph that oscillates up and down based on the presence of prime numbers, creating a ladder-like structure. The path ascends or descends based on the primality of subsequent numbers. When a prime number is encountered, the path alters direction, leading to a zig-zag pattern. Number 2 is prime, so it flips and goes down. Now 3 is prime, so the next step changes direction and goes up again, so we move up. But 4 is not a prime, so it continues up, and on it goes.
A nice little video also, further down the article.
https://youtu.be/DTImOesprL8?si=y4oVb6Wy0rnwPbv9
A colleague recently sent me this. Some here may appreciate this kind of fun with primes, similar to what I had shared a while back: https://stacker.news/items/755400/r/south_korea_ln by 3Blue1Brown.
https://stacker.news/items/1469158