There’s a surprisingly straightforward answer to how many numbers are needed to fill an infinite grid so that identical numbers never get too close together.
https://www.wired.com/story/a-computer-assisted-proof-solves-the-packing-coloring-problem/?utm_source=dlvr.it&utm_medium=blogger
https://www.wired.com/story/a-computer-assisted-proof-solves-the-packing-coloring-problem/?utm_source=dlvr.it&utm_medium=blogger