🔑 Magic Internet Math Episode 4: Why the Inverse Problem Works

Bitcoin's security rests on the inverse problem — but why does an inverse even EXIST?

This isn't "the math is hard." This is PROOF that every non-zero element in a finite field 𝔽ₚ has a multiplicative inverse.

We cover:

Euclidean Algorithm (computing inverses)
Fermat's Little Theorem (a^(p-1) ≡ 1 mod p)
Why secp256k1 uses a prime field
Group & field axioms (closure, identity, inverse)
LibSecP implementation
92 minutes with @Rob Hamilton 📖 Study guide: ecc-study-guide.magicinternetmath.com/guide.pdf
🎧 Listen: fountain.fm/show/2gdYQCIV0eZEuYOW3nGJ

Bitcoin isn't probably secure. It's PROVABLY secure.

⚡ Value-enabled.