Perhaps explore plotting the Ulam spiral too? https://en.wikipedia.org/wiki/Ulam_spiral

Of course the pressing question is, if this is the start field for a Conway game-of-life, do any interesting patterns evolve?

It would be fun to brute-force a few starting grid sizes and seeing how long the game continues. Games that last more than a few steps can be set aside for human evaluation.

Because if it turns out that some particular smallish grid or spiral of primes causes something interesting to happen in game-of-life, then you can imagine HN melting down!?