snip
You keep reciting the definition of "
uniform distribution" like a mantra, but you don't understand that this is precisely the argument that's sinking you.
Nobody questions that
the H160 is uniform. What
I question is your lack of strategic vision. In a uniform distribution, each key has the same probability. Therefore, there's no logical reason to choose a sequential scan that prevents you from looking at the last 35% of the range. If everything is uniform, skipping based on a signal (prefix) is a way to optimize the scan, not to change the key's probability.
You say that a continuous scan of X% is "
identical" to my prefix scan.
False. In your continuous 65% scan, if the key is in the remaining 35%, your probability is ZERO.
In my prefix scan, I cover 100% of the range in a skipping fashion. If the key lies within that 35% you're ignoring, my method can find it because it doesn't have an arbitrary exclusion zone.
You talk about "
basic computer science" but you ignore the fact that the world's most advanced search algorithms, like Google or AI, don't use flat sequential scans; they use heuristics. My method isn't magic; it's resource optimization. Your insistence that
sequential is better because it's simpler is why you're stuck in theory while others are advancing in practice.
So you can keep trying to lecture on
independent events, but the reality of the puzzle is simple:
coverage is key. Your "guillotine" blinds you to the 35% potential success rate because of an obsession with continuity that contributes nothing to finding the key.
If my "
magic theory" bothers you so much, it's because it exposes that your clean method is simply a quick way to give up on a third of the puzzle. The forum isn't polluted with technical debate; It becomes tainted by the arrogance of those who prefer to be right on paper rather than have a real chance of finding the key.
Keep your perfect scan; I'll stick with the method that doesn't force me to ignore the treasure if it falls outside your comfort zone.
I know it's a uniform distribution, I know what independent events are, but this is about
search heuristics, not a
statistics exam, which is based on an infinite assumption where questions are
averaged. Remember, you're looking for a
single, discrete event (
the private key), not how many prefixes are in 2^256.