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How prime numbers protect your privacy

Most of us have probably heard about encryption before, but have you ever wondered how it works? This video explores the math behind the RSA cryptosystem, a very popular encryption method that set the stage for asymmetric cryptography. ► Join my Discord server:   / discord   This video was made as part of the Summer of Mathematical Exposition organized by ‪@3blue1brown‬ ► Sources: - https://en.wikipedia.org/wiki/RSA_(cr...) -   / rsa-gradually-leaves-the-stage-after-more-...   - https://en.wikipedia.org/wiki/Prime_n... ► Learn more about... - Bézout's identity: https://en.wikipedia.org/wiki/B%C3%A9... - The extended Euclidean algorithm: https://en.wikipedia.org/wiki/Extende... - Modular exponentiation: https://en.wikipedia.org/wiki/Modular... ► Stock footage from: https://pixabay.com/ 🎵 Music from Epidemic Sound, register with my link to support the channel and get a discount: https://www.epidemicsound.com/referra... Chapters: 0:00 - Intro 0:35 - Alice and Bob 01:10 - Encryption 02:01 - Asymmetric cryptography 03:22 - Rivest-Shamir-Adleman 03:50 - Modular congruence 04:59 - The RSA Equation 05:52 - Prime numbers 07:27 - Generating a keyset 09:19 - Implementation 10:25 - Proof of correctness 12:42 - Conclusion #SoME2