🧩 3.2 The Discrete Log Problem — How Bitcoin Hides Your Secret Key 🔒

How can something as simple as a logarithm become one of the hardest problems in mathematics? In this video, we explore the Discrete Logarithm Problem (DLP) — the mathematical puzzle that secures your digital world. You’ll discover: 🧮 What the Discrete Logarithm Problem actually is ⚙️ How it differs from the familiar logarithm on continuous curves (real numbers) 🚫 Why finding a discrete log in modular arithmetic is so hard 🔐 How this hardness forms the backbone of Diffie–Hellman, ElGamal, and Elliptic Curve Cryptography (ECC) 🧠 The geometric intuition behind “why we can go forward easily but not backward” Through simple examples and visual explanations, you’ll see how the beauty of modular arithmetic creates an asymmetry — easy to compute one way, nearly impossible to reverse.