Quote from: BlackHatCoiner on Today at 07:32:28 AM

Quote from: shinohai on March 01, 2021, 11:03:52 PM

Since 2^256 is likely a number larger than the number an atoms in the known universe, better get to crackin' with that abacus or wait for the advent of quantum computers if/when machines capable of doing this come to exist in our lifetimes.

2²⁵⁶ is not the number of the addresses. Even if you brute force private keys, that are around 2²⁵⁶, you want to find a collision, not necessarily someone's private key. A RIPEMD-160 hash (which is the address decoded) is 160-bits long, which means 2¹⁶⁰. So you're brute forcing this number:

1,461,501,637,330,902,918,203,684,832,716,283,019,655,932,542,976

Since private keys are ~2²⁵⁶ and all possible combinations of addresses 2¹⁶⁰, then you're trying to find one of the ~2⁹⁶ private keys that collide with the same address. So next time you create an address, keep in mind that besides your private key, there are around 79,228,162,514,264,337,593,543,950,335 more.

did not understood this well?
do you want to say that beside private key that I am holding for my address there is around this number private keys that will resolve into my address or something else? if that is a fact, I really did not know that, but that does not seems as a good thing, is it?