Primality tests

Lucas primality test

In computational number theory, the Lucas test is a primality test for a natural number n; it requires that the prime factors of n − 1 be already known. It is the basis of the Pratt certificate that gives a concise verification that n is prime. (Wikipedia).

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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

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Blender test: Simple parallax mapping through composite and material nodes only

The original render output is flat. :) For similar technique see the node setups here: http://www.blendpolis.de/viewtopic.php?f=14&t=25226 http://www.kaikostack.com

From playlist Random Blender Tests

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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

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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

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A record- breaking Prime Number for 70 years ! | An insane calculation.

We discuss Édouard Lucas and his discovery of a Mersenne prime with 39 digits ! It remained the largest known prime for almost 70 years. My free consultation service: https://forms.gle/KoBA7TurwLjteMHcA Accepting bitcoin donations: 1LfLNqxJ38n4g8wwodFzmvrq8YxXNSF2vf #mersenneprime #prime

From playlist Something you did not know...

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Blender test: Flame

Test done with Blender 2.5. http://www.kostackstudio.de

From playlist Random Blender Tests

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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

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Miller-Rabin Primality Test

Here's a second (better) example for how to use the Miller-Rabin primality test.

From playlist Cryptography and Coding Theory

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My #MegaFavNumbers is 2^82589933-1 // The largest Mersenne prime…..yet

This video is part of the #MegaFavNumbers series where a tonne of math youtubers like @numberphile @standupmaths and @3blue1brown share their favourite MEGA numbers, i.e. numbers over a million. Check out the full playlist here: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPs

From playlist MegaFavNumbers

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How they found the World's Biggest Prime Number - Numberphile

Featuring Matt Parker... More links & stuff in full description below ↓↓↓ See part one at: https://youtu.be/tlpYjrbujG0 Part three on Numberphile2: https://youtu.be/jNXAMBvYe-Y Matt's interview with Curtis Cooper: https://youtu.be/q5ozBnrd5Zc The previous record: https://youtu.be/QSEKzFG

From playlist Matt Parker (standupmaths) on Numberphile

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Discrete Structures: Multiplicative inverse, Euler's totient function, and Euler's theorem

This is a continuation of the previous live stream session. Learn more about Euler's totient function and how we can use it, along with Euler's theorem, to compute the multiplicative inverse of any number (a mod n). We'll also learn about the extended Euclidean algorithm to compute the mul

From playlist Discrete Structures, Spring 2022

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Math tutorial for how to use and apply the rational zero test

👉 Learn how to use the Rational Zero Test on Polynomial expression. Rational Zero Test or Rational Root test provide us with a list of all possible real Zeros in polynomial expression. Rational Zero Test can be helpful to find all the real zeros of a polynomial when graphing technology is

From playlist Rational Zero Test and Descartes Rule of Signs

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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

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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

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Fifth Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series Talk

Date: Wednesday, November 1, 10:00am EDT Speaker: Xiaoqun Zhang, Shanghai Jiao Tong University Title: Stochastic primal dual splitting algorithms for convex and nonconvex composite optimization in imaging Abstract: Primal dual splitting algorithms are largely adopted for composited optim

From playlist Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series

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CTNT 2018 - "The Biggest Known Prime Number" by Keith Conrad

This is lecture on "The Biggest Known Prime Number", by Keith Conrad, during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/

From playlist CTNT 2018 - Guest Lectures

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Rabin Miller 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

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"Fortunately, Unfortunately": How to Tell Whether a Number Is Prime #MegaFavNumbers

How can we tell whether or not a large integer is prime? Well, there's some bad news and some good news (and more bad news, and more good news, and...) My contribution to #MegaFavNumbers (and my first go at YouTube, so, you know, go easy on me). Matt Parker's video, which got me thinking

From playlist MegaFavNumbers

Related pages

Order (group theory) | Composite number | Addition-chain exponentiation | Multiplicative order | Prime number | Édouard Lucas | Fermat primality test | Exponentiation by squaring | Computational number theory | Pocklington primality test | Primitive root modulo n | Pseudocode | Modular exponentiation | Generating set of a group | Primality test | Primality certificate | Fermat's little theorem | Group (mathematics)