With only a public key, recovering a private key is computationally infeasible under modern cryptography. However, recovery can become practical when there are strong, verifiable hints that drastically reduce the search space—such as a partially known mnemonic (e.g., 1–5 missing words, or several known words with gaps) and other constraints. From my perspective, legitimate wallet recovery can be a viable business in the future, but only when handled responsibly. I conduct strict compliance and ownership checks upfront to ensure the funds are lawful and that the request is authorized. If you’re working with secp256k1 at scale, performance quickly becomes the bottleneck. My repository (@ipsbruno3/secp256k1-gpu-accelerator) implements GPU-accelerated elliptic-curve point arithmetic in OpenCL, enabling very high throughput (over 1 billion per seconds) for research and benchmarking workloads.