Miller-Rabin Primality Test in Python ๐
Learn how to implement the efficient probabilistic Miller-Rabin primality test in Python to determine if a number is prime. Perfect for cryptography and number theory enthusiasts!

dionyziz
5.6K views โข Aug 18, 2016

About this video
The Miller-Rabin primality test: https://en.wikipedia.org/wiki/Miller%E2%80%93Rabin_primality_test
A python implementation of the probabilistic Miller-Rabin primality test. This test runs in polynomial time O(k polylog(p)) and has a negligible probability of failure 4^(-k), making it suitable for cryptographic applications.
This video builds up from Fermat's primality test. Watch my previous video where I explain it: https://www.youtube.com/watch?v=qDakpCEW5-0
Euclid's lemma: https://en.wikipedia.org/wiki/Euclid%27s_lemma
Fermat's little theorem: https://en.wikipedia.org/wiki/Fermat%27s_little_theorem
Soup's number theory book: http://www.shoup.net/ntb/ntb-v2.pdf
If you enjoyed this video, please ๐ and +Subscribe. This is one of my first videos. Please leave feedback about what you think I can improve and what other topics you would like to see.
I've just created a Patreon where you can buy me a cup of coffee. Thanks so much for supporting me! https://www.patreon.com/dionyziz
A python implementation of the probabilistic Miller-Rabin primality test. This test runs in polynomial time O(k polylog(p)) and has a negligible probability of failure 4^(-k), making it suitable for cryptographic applications.
This video builds up from Fermat's primality test. Watch my previous video where I explain it: https://www.youtube.com/watch?v=qDakpCEW5-0
Euclid's lemma: https://en.wikipedia.org/wiki/Euclid%27s_lemma
Fermat's little theorem: https://en.wikipedia.org/wiki/Fermat%27s_little_theorem
Soup's number theory book: http://www.shoup.net/ntb/ntb-v2.pdf
If you enjoyed this video, please ๐ and +Subscribe. This is one of my first videos. Please leave feedback about what you think I can improve and what other topics you would like to see.
I've just created a Patreon where you can buy me a cup of coffee. Thanks so much for supporting me! https://www.patreon.com/dionyziz
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Video Information
Views
5.6K
Likes
68
Duration
30:40
Published
Aug 18, 2016
User Reviews
4.4
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