RSA - The Elegance of Public Key Cryptography
Do you know what powers the web security all over the Internet? Its a cryptographic algorithm which relies on inconvenience of prime factorization. This vide...
About this video
Do you know what powers the web security all over the Internet? Its a cryptographic algorithm which relies on inconvenience of prime factorization. This video talks about RSA - a public key cipher which uses two very large primes to create keys for encryption/decryption. Developed in the 1970s by three MIT researchers, RSA remains one of the most important tools in modern digital security.
00:00 Factoring a Large Number
01:24 Background of RSA
02:27 Key Generation
04:31 Example of RSA
07:01 Application of RSA
08:27 Conclusion
Determining Multiplicative Inverse : https://extendedeuclideanalgorithm.com/multiplicative_inverse.php
Proof of phi(ab) = phi(a).phi(b) : https://sumantmath.wordpress.com/2020/11/03/proof-why-phiab-phiaphib-when-ab1/
Proof of Euler's Theorem : https://math.stackexchange.com/questions/50542/proof-of-eulers-theorem-without-abstract-algebra
RSA Original Paper (1978) : https://people.csail.mit.edu/rivest/Rsapaper.pdf
This video wouldn't be possible without the open source library manim created by 3blue1brown: https://github.com/3b1b/manim
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Duration
8:50
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Published
Jun 25, 2025
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