a137x/plutus-rustus ? reverse-engineered prompt

Build me a Rust demo that shows how Bitcoin keys and addresses work, but without trying to find or brute force real wallets.

I want it to generate random private keys, turn them into public keys and Bitcoin style addresses, and check them against a small local sample list that I provide for testing. If there’s a match, save the results to a text file. Make it fast and multithreaded if that fits the codebase, and keep the command line simple so I can run it locally.

If you need to, look up current Rust or secp256k1 docs online while you work.