u/memestarbotcom

To preface, I don't have a cryptographic background. But I had an interesting thought:

People sometimes send Bitcoin to mistyped addresses, which no one ever has had the private key for. Or let's say I manually type a random address without using a private key, like a random jumble of characters that fits the length and format. But in theory, if by luck you got the private key by random typing, you have control of the address.

My conjecture is: does there exist a possible address where no possible private key exists?

If it exists, it is a true burn address and nothing can be returned from it, even by quantum computers or luck.

Forgive me if this has already been talked about or I am missing something.