2 add on 3 add on 5 add on 7... to make 2357111317192329
A reddit user improved my earlier code with generators. That old code is here. And using the generators from this code I got a prime number checker from here.
With 10k steps this looks like
and a million steps (digits)
Five million digits
1000 digits from primes
100 digits looks like an album cover
Here every one tenth of the total distance changes the colour so roughly the blue part on the top left is the previous image. These are primes in the base 10 which is probably why the pattern repeats like that.
These seem really similar to each other. The Champernowne constant seems to do something similar, so maybe most sequences of natural numbers stuck together make repeating patterns like this. I tested the even and off numbers and they kind of do.
even numbers 100k digits
odd numbers 100k digits
Numbers from a sequence in the base ten make a similar pattern that gets ten time bigger each round. Which doesn't sound surprising said like that. Still the pictures look cool I think.