The Math Behind RSA #4: Breaking RSA and the Rise of Elliptic Curve Cryptography
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This article has a more math-focused version with formal proofs on Folio. In the previous three parts, we built RSA from the ground up: modular arithmetic, Euler's theorem, and a working Python implementation. Now we tear it all down. This final article explores why RSA is showing its age, how elliptic curve cryptography (ECC) offers a compelling alternative, and what the quantum future holds. Part I: Attacks on RSA The Factoring Arms Race RSA's security rests on a sing