snip~
Thanks! With your math skills, you've just exposed the pioneer creators of vanity address software by estimating how often you're likely to encounter an N-character prefix. They should be ashamed of themselves for implementing an inefficient calculation.

It would have been more productive to simply pinpoint where you started to disagree.
But you are correct: the calculation of how often you're likely to encounter an N-character prefix is an
estimation indeed! Good catch! So, you agree that a uniform distribution does not mean that you get evenly-spaced same-size predictable amounts of prefixes, so you are on a good path.