Finite fields | Primality tests

The AKS primality test (also known as Agrawal–Kayal–Saxena primality test and cyclotomic AKS test) is a deterministic primality-proving algorithm created and published by Manindra Agrawal, Neeraj Kayal, and Nitin Saxena, computer scientists at the Indian Institute of Technology Kanpur, on August 6, 2002, in an article titled "PRIMES is in P". The algorithm was the first that can provably determine whether any given number is prime or composite in polynomial time, without relying on mathematical conjectures such as the generalized Riemann hypothesis. The proof is also notable for not relying on the field of analysis. In 2006 the authors received both the Gödel Prize and Fulkerson Prize for their work. (Wikipedia).

From playlist Cryptography

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 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 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 testing - Andrey Kupavskii

Computer Science/Discrete Mathematics Seminar II Topic: Primality testing Speaker: Andrey Kupavskii Affiliation: Member, School of Mathematics Date: April 7, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Primality Quiz - Applied Cryptography

From playlist Applied Cryptography

Primality Test - Applied Cryptography

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

Prime Numbers - What is Known and Unknown, by Keith Conrad

This talk by Keith Conrad (UConn) was part of UConn's Number Theory Day 2017.

From playlist Number Theory Day

Primal-dual Optimization Methods for Robust Machine Learning

Stephen Wright University of Wisconsin-Madison, USA

From playlist Distinguished Visitors Lecture Series

Solving Cubic Equations - Benedict Gross

Speaker : Benedict Gross Date and Time : 06 Jan 12, 17:15 Venue : AG 66, TIFR, Mumbai I will discuss a problem which has been central in number theory for several centuries -- whether a cubic equation in the plane has infinitely many rational solutions.This led to a precise conjecture by

From playlist Public Lectures

Introduction to additive combinatorics lecture 5.8 --- Freiman homomorphisms and isomorphisms.

The notion of a Freiman homomorphism and the closely related notion of a Freiman isomorphism are fundamental concepts in additive combinatorics. Here I explain what they are and prove a lemma that states that a subset A of F_p^N such that kA - kA is not too large is "k-isomorphic" to a sub

From playlist Introduction to Additive Combinatorics (Cambridge Part III course)

Clément Canonne: What is deterministic amplification?

Abstract: Suppose we want to solve a given task (say, a decision problem) and have a randomised algorithm for it which is correct; but only with some non-trivial probability, for instance .51. We would like to "amplify" this probability of success to an arbitrarily small amount, as close t

From playlist What is...? Seminars

Home Chandalar Home | Life Below Zero

Glenn risks weather conditions to get back to his home in Chandalar, AK. ➡ Subscribe: http://bit.ly/NatGeoSubscribe ➡ Watch all clips of Life Below Zero here: http://bit.ly/WatchLifeBelowZero ➡ LIFE BELOW ZERO AIRS TUESDAYS 9/8c. About Life Below Zero: Life Below Zero follows six people a

From playlist Life Below Zero | National Geographic

Lecture 14: Discrete Exterior Calculus

CS 468: Differential Geometry for Computer Science

From playlist Stanford: Differential Geometry for Computer Science (CosmoLearning Computer Science)

Lecture 4 | Convex Optimization II (Stanford)

Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd lectures on subgradient methods for constrained problems. This course introduces topics such as subgradient, cutting-plane, and ellipsoid methods. Dec

From playlist Lecture Collection | Convex Optimization

A brief description of the "Basic Principle" and how it can be used to test for primality.

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