No one said prefixes aren't rare, but seems the ignorance is on your side, because:

- no one is gonna waste a ton of power to find the exceptional case where two sequential keys result in a very long common prefix; that's a waste of time. Having infinitely small chances of a collision is the main reason why you don't see two near keys colliding, not because you've just found some prefix and that would somehow mean it has any sort of relevance for the very next hash, be it the next one or 500 billion keys later.

- all of your science is bogus techno-babble; we're still waiting an explanation on why waiting 10 minutes to continue flipping a coin changes the probabilities of the future outcomes. Ouch, excuse, me, I meant skipping some keys here and there, on basis of a totally refutable religion that it's in any way different from continue scanning the next key.

If I'm going to the groceries store today, than this somehow changes the chances that Satoshi ate oranges today. This is pretty much the whole basis of your theories.

I wrote some time ago a post that you deleted because you didn't like that I can understand what your code does without having to execute it. Man - you're the one that needs to come up with the validity of your theories, not on us to get on our knees and being called "you didn't understand it" every time. We did understand it.