with all these addresses being created, wouldnt some be the same as someone elses address out there?
It is like finding an atom in the universe.
[/quote]
From private keys to public keys, and public addresses. Finding private keys of the others is impossible.
The range of 256-bit numbers (and therefore the number of possible private keys) is unfathomably large. Just as it's impossible for the human mind to visualize the true scale of the universe, it's impossible for the human mind to comprehend the sheer size of 256-bit numbers.
So if you have any doubts about the safety of your 256-bit number, it's either because you didn't use a reliable enough random number generator, or because you don't appreciate the magnitude of the numbers we are dealing with.
[/quote author=https://github.com/bitcoinbook/bitcoinbook/blob/develop/ch04_keys.adoc]
The size of Bitcoin’s private key space (2256) is an unfathomably large number. It is approximately 1077 in decimal. For comparison, the visible universe is estimated to contain 1080 atoms.
So if you have any doubts about the safety of your 256-bit number, it's either because you didn't use a reliable enough random number generator, or because you don't appreciate the magnitude of the numbers we are dealing with.
[/quote author=https://github.com/bitcoinbook/bitcoinbook/blob/develop/ch04_keys.adoc]
The size of Bitcoin’s private key space (2256) is an unfathomably large number. It is approximately 1077 in decimal. For comparison, the visible universe is estimated to contain 1080 atoms.