What do numbers look like? ( John Williamson) https://johnhw.github.io/umap_primes/index.md.html

Very interesting visualizations have been obtained relatively recently. Just the integers from 1 to 1 mio have been considered, each integer converted to a vector corresponding to its prime decomposition, thus obtained a dataset in higher-dimensional space, and final step is applying dimensional reduction technique (UMAP (see e.g. John Baez's blog for discussion)) to get 2-dimensional matrix which is visualized.

Other sequences can be processed in a similar way to get more beautiful pictures (see the link above).

What do numbers look like? ( John Williamson) https://johnhw.github.io/umap_primes/index.md.html

Very interesting visualizations have been obtained relatively recently. Just the integers from 1 to 1 mio have been considered, each integer converted to a vector corresponding to its prime decomposition, thus obtained a dataset in higher-dimensional space, and final step is applying dimensional reduction technique (UMAP (see e.g. John Baez's blog for discussion)) to get 2-dimensional matrix which is visualized.

Other sequences can be processed in a similar way to get more beautiful pictures (see the link above).

PS

Imho, the outcome is very unexpected, it might happen that certain patterns more likely due to UMAP, rather due to hidden patterns in integer numbers.