On May 16, 2010, Satoshi Nakamoto addressed user concerns regarding the computational and storage overhead of generating limitless Bitcoin addresses. In a Bitcointalk forum post, the inventor clarified the lightweight nature of Elliptic Curve Cryptography (ECC) compared to older cryptographic standards, offering a quote that remains a cornerstone of Bitcoin's security philosophy: “When you generate a new bitcoin address, it only takes disk space on your own computer (like 500 bytes). It's like generating a new PGP private key, but less CPU intensive because it's ECC. The address space is effectively unlimited". This seemingly mundane technical clarification underscores a critical design choice: by utilizing the secp256k1 elliptic curve, Nakamoto ensured that wallet generation could occur instantly and infinitely on consumer-grade hardware without taxing local processing power(Documenting ₿itcoin 📄)