Stupid question on toilet: if prime numbers are 1s and other integers are 0s. What do we get from this “digital” landscape?
The first-order difference of the prime-counting function: https://en.wikipedia.org/wiki/Prime-counting_function
The decimal expansion of an irrational number https://oeis.org/A010051
If you plot the positive integers two-dimensionally in a square spiral arrangement, eg.
and so on, and mark all primes, what you get is the Ulam spiral: https://en.wikipedia.org/wiki/Ulam_spiral