It might be interesting to calculate the 'primeness' of complex numbers and then render the values as shades of grey on the complex plane. Some years I did som

It might be interesting to calculate the 'primeness' of complex numbers and then render the values as shades of grey on the complex plane. Some years I did something similar for the 'divisibility' of prime numbers and the result was pretty interesting: http://www.gibney.de/does_anybody_know_this_fractal http://www.gibney.de/does_anybody_know_this_fractal The most common interpretation of a 'complex prime' is the gaussian prime. When rendered on the complex plane looks like this: https://commons.wikimedia.org/wiki/File:Gauss-primes-768x768.png https://commons.wikimedia.org/wiki/File:Gauss-primes-768x768... Looks rather random. Maybe going from 'is prime or not' to 'primeness' would reveal some more insight.