if never used it will just show no transactions linked to that address.. when checking block explorers.
to 'save' all possible addresses would require storage beyond any measure/availability today
there are 904625697166532776746648320380374280100293470930272690489102837043110636675 possible private keys
--cool explanation--
That is insanely profound to me. The thought that that many private keys that can generate different addresses to one wallet is mind boggling.
But my question is how secure is the hashing algorithm? I don't know if I remember seeing this correctly somewhere, but I remember reading about how Bitcoin's hashing function could potentially be vulnerable. I don't remember any of the arguments as to why, but was wondering how safe SHA256 is.