Whats to stop these bots from just stealing from bitcoin in every wallet thats been dormant for a few months/years in the same way they do with these puzzles?
Every extra bit doubles the effort for a bot. The entropy of like 69-bits is pretty low and can be solved within a few seconds.
70-bits doubles that, 71-bits double the 70-bit's effort and so on. The effort grows exponentially.
So if the entropy is 256-bit, that's way too much effort for a bot to solve within timely manner.
That’s not totally accurate, every bit does not double the complexity but multiplies it by sqrt(2). This is due to how the algorithm operates.
Edit : if you know the public key of the wallet
Forget exact divisors—division alone won’t reveal the key. You must work in parallel: scalars and points, two scripts running side by side. But that’s not enough. Beyond division, introduce subtraction—the interplay between these operations opens doors. This is how discoveries are made. I’ve followed this path and found my own truth, like a lone tree standing firm in the ocean’s expanse. The structure emerges when you stop forcing a single approach and let the operations guide you. Division fragments, subtraction shifts, and together they map the hidden lattice. The answer isn’t in one script or one method, but in their convergence. I’ve seen it. Now it’s your turn to trace the contours of the problem—not with brute force, but with layered reasoning. The tree is there. You just need to adjust your coordinates.