It’s not impossible, it’s just that the number space is so enormous that it’s exceedingly unlikely that it will ever be found: every random private key you generate will map to one of 2

math

bitcoin

bitcoin_beginners

What actually makes a address be a burn address?

0xbitcoiner

It’s not impossible, it’s just that the number space is so enormous that it’s exceedingly unlikely that it will ever be found: every random private key you generate will map to one of 2<sup>160</sup> possible P2PKH addresses.

Also see, Bitcoin Stack Exchange [Is each Bitcoin address unique?](https://bitcoin.stackexchange.com/q/8804/5406)