Asymmetric-key algorithms | Primality tests
A primality test is an algorithm for determining whether an input number is prime. Among other fields of mathematics, it is used for cryptography. Unlike integer factorization, primality tests do not generally give prime factors, only stating whether the input number is prime or not. Factorization is thought to be a computationally difficult problem, whereas primality testing is comparatively easy (its running time is polynomial in the size of the input). Some primality tests prove that a number is prime, while others like Miller–Rabin prove that a number is composite. Therefore, the latter might more accurately be called compositeness tests instead of primality tests. (Wikipedia).
Primality (1 of 2: Fermat's Test)
From playlist Cryptography
Faster Primality Test - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Primality Quiz - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Primality Test Solution - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Primality Quiz Solution - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Primality Test - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Primality Testing - Miller-Rabin
Using the Miller-Rabin (probabilistic) primality test. NOTE: if bo (and only bo) had been either +1 OR -1, n would be prime (it was 263, in this example). BUT for b1, b2, and so on, +1 implies composite, -1 implies prime. Questions? Feel free to post them in the comments and I'll do my b
From playlist Cryptography and Coding Theory
From playlist Cryptography
Here's a second (better) example for how to use the Miller-Rabin primality test.
From playlist Cryptography and Coding Theory
Niles Weed :Weak limits for entropic optimal transport II
CONFERENCE Recording during the thematic meeting : "Meeting in Mathematical Statistics " the December 15, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on
From playlist Probability and Statistics
Summary (what's next?) | Journey into cryptography | Computer Science | Khan Academy
Why is factorization hard, yet generating primes easy? Where do we go from here? Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/random-algorithms-probability/v/randomized-algorithms-prime-adventure-part-8?utm_source=YT&utm_medium=Desc&utm_campai
From playlist Journey into cryptography | Computer Science | Khan Academy
Primordial Black Holes and Gravitational Waves by Misao Sasaki
PROGRAM LESS TRAVELLED PATH OF DARK MATTER: AXIONS AND PRIMORDIAL BLACK HOLES (ONLINE) ORGANIZERS: Subinoy Das (IIA, Bangalore), Koushik Dutta (IISER, Kolkata / SINP, Kolkata), Raghavan Rangarajan (Ahmedabad University) and Vikram Rentala (IIT Bombay) DATE: 09 November 2020 to 13 Novemb
From playlist Less Travelled Path of Dark Matter: Axions and Primordial Black Holes (Online)
Support Vector Machines - THE MATH YOU SHOULD KNOW
In this video, we are going to see exactly why SVMs are so versatile by getting into the math that powers it. If you like this video and want to see more content on data Science, Machine learning, Deep Learning and AI, hit that SUBSCRIBE button. And ring that damn bell for notifications
From playlist The Math You Should Know
Machine Learning Lecture 24 "Kernel Support Vector Machine" -Cornell CS4780 SP17
Lecture Notes: http://www.cs.cornell.edu/courses/cs4780/2018fa/lectures/lecturenote14.html
From playlist CORNELL CS4780 "Machine Learning for Intelligent Systems"
Is the Sieve of Eratosthenese past its prime?
The Sieve of Eratosthenes is an amazing tool for teaching people about prime numbers and composite numbers but it's not without its limitations. I've tried to answer the question, 'Is there a better way of representing a sieve like this?' 0:00 Sieve of Eratosthenes In the first part of t
From playlist Summer of Math Exposition Youtube Videos
Decision Making and Inference Under Model Misspecification by Jose Blanchet
PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear
From playlist Advances in Applied Probability 2019
DDPS | Model reduction with adaptive enrichment for large scale PDE constrained optimization
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From playlist Data-driven Physical Simulations (DDPS) Seminar Series
2023: New Year, New Primality Testing…
Check out the main channel: @polymathematic Happy New Year! 2023 has at least one advantage over 2022 already: it could be prime! 2022 ends in an even number, so it's obviously even itself. That's called a divisibility test, and it's the same for determining if a number is divisible by 5
From playlist polymathematic #shorts
A brief description of the "Basic Principle" and how it can be used to test for primality.
From playlist Cryptography and Coding Theory
The Biggest Known Prime Number - Keith Conrad [2018]
Slides for this talk: https://ctnt-summer.math.uconn.edu/wp-content/uploads/sites/1632/2018/05/mersennetalkCTNT.pdf May 29: Keith Conrad (UConn) Title: The Biggest Known Prime Number. Abstract: There are infinitely many primes, but at any moment there is a biggest known prime. Earlier t
From playlist Number Theory