THE BITCOIN PUZZLE (1000 BTC CHALLENGE) Complete Deep Research — From A to Z Compiled: July 2026 Context: The 1000 BTC Challenge is the most famous cryptographic treasure hunt in Bitcoin history, serving as a real-time benchmark of elliptic curve security. PART I: FOUNDATIONS — HOW BITCOIN WORKS 1.1 Public-Key Cryptography Overview Bitcoin's security model is built entirely on asymmetric (public-key) cryptography. Every Bitcoin user controls a private key (a secret 256-bit integer) from which a public key is derived, and from that public key, a Bitcoin address is hashed. The system works because: Derivation is easy: private key → public key (one-way scalar multiplication on an elliptic curve) Inversion is computationally infeasible: public key → private key (the Elliptic Curve Discrete Logarithm Problem, ECDLP) 1.2 secp256k1 — The Elliptic Curve Bitcoin uses the secp256k1 curve, defined by the Standards for Efficient Cryptography Group (SECG): Curve equation...
BITCOIN INTERNAL INFRASTRUCTURE — DEEPEST CORE From Cryptographic Primitive to Network Consensus This is the absolute bedrock layer. Not how Bitcoin is used — how Bitcoin IS. Every number, every equation, every byte format. The machine beneath the abstraction. "I hope the reader understands the beauty and power of what I'm about to explain." — based on every great technical explanation ever written VOLUME I: THE CRYPTOGRAPHIC ENGINE Chapter 1: The secp256k1 Elliptic Curve — Complete Specification 1.1 Domain Parameters Bitcoin uses the secp256k1 curve as defined by the Standards for Efficient Cryptography (SEC 2, version 2.0). These are the exact bytes that define the curve: p = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F = 2²⁵⁶ − 2³² − 2⁹ − 2⁸ − 2⁷ − 2⁶ − 2⁴ − 1 = 115792089237316195423570985008687907853269984665640564039457584007908834671663 a = 0x00000000000000000000000000000000000000...