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A simple explanation of how prime numbers are used in Public Key Cryptography from ABC1 science program Catalyst
Views: 63318 Simon Pampena

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Views: 196884 Eddie Woo

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Fermat's Little Theorem was observed by Fermat and proven by Euler, who generalized the theorem significantly. This theorem aids in dividing extremely large numbers and can aid in testing numbers to see if they are prime. For more advanced students, this theorem can be easily proven using basic group theory. Prerequisites: To follow this video, you will want to first learn the basics of congruences. If you found this video helpful, please share it with your friends! You might like the other videos in our Number Theory Playlist: https://www.youtube.com/watch?v=VLFjOP7iFI0&list=PLi01XoE8jYojnxiwwAPRqEH19rx_mtcV_ Don't forget to Subscribe to our channels so you'll hear about our newest videos: http://www.youtube.com/subscription_center?add_user=SocraticaStudios Subject: Number Theory Teacher: Michael Harrison Artist: Katrina de Dios
Views: 148246 Socratica

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Larry Wittig presents a brief overview of encryption methodologies including Enigma, DES and AES, Diffie-Hellman Key Exchange, and RSA Public Key Infrastructure. Presented to the Lexington Computer and Technology Group on October 10, 2018 at the Lexington Community Center. A True Images Production, in cooperation with LexMedia.
Views: 35 trueimagesphoto

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Views: 26522 Quick Trixx

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Once you know how to solve diophantine equations with a single variable, the next step in complexity is to consider equations with two variables. The simplest such equations are linear and take the form ax+by=c. Before we solve this equation generally, we need a preliminary result. We show that you can solve the equation ax+by=GCD(a,b) by performing the Euclidean algorithm, and then reverse-substituting to arrive at a single solution. Subject: Elementary Number Theory Teacher: Michael Harrison
Views: 91395 Socratica

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Views: 448 one31071

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Views: 2368 Shaan Arora

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Here's a second (better) example for how to use the Miller-Rabin primality test.
Views: 38780 Theoretically

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I was invited to speak at The Purdue Math Club for "A Prime Seminar on Primes." Let's find more gigantic probable primes! For the Powerpoint, and about 4 pages of links and notes that will really help you, go to http://www.mattstath.com/topprimes/prime_seminar.htm The Repunit Project is at http://www.elektrosoft.it/matematica/repunit/repunit.htm and I recommend it if you want to help participate. Please click the CC button at the bottom of this video because the sound isn't the best.
Views: 446 stathmk

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Trapdoor functions have proven fairly difficult to find. Most modern cryptosystems—​including RSA—​are based on factoring. Given two very large prime numbers it is easy to multiply them together to create a third number that has only two factors. But given that third number it is very hard to determine what it’s two factors are. This asymmetry is the basis of modern cryptography and most of our online security. If anyone ever determines how to quickly factor huge numbers, it will have enormous and incredibly disruptive societal consequences. Credits: Talking: Geoffrey Challen (Assistant Professor, Computer Science and Engineering, University at Buffalo). Producing: Greg Bunyea (Undergraduate, Computer Science and Engineering, University at Buffalo). Part of the https://www.internet-class.org online internet course. A blue Systems Research Group (https://blue.cse.buffalo.edu) production.
Views: 349 internet-class

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Finding all the prime numbers between 1 and 100 using the technique devised by the ancient Greek mathematician Eratosthenes
Views: 146018 Ron Barrow

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Views: 4881 Eddie Woo

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Lecture #2 at Rockefeller University: Adarsha Subick presents his PowerPoint on Distribution of Prime Numbers. Harlem Children Society (HCS: www.hcs2k.org) a Not-for-profit organization founded on June 5, 2000, by Dr. Sat Bhattacharya, selects promising students from communities ridden by poverty and adverse situations, engaging and training them in one-on-one mentoring and hands-on research in STEM and allied sciences. The US HCS Class of 2010 consists of 300 young scholars from over 200 schools from diverse ethnicities (40% African American, 26% Hispanic, 16% Native American, 14% Asian, and 4% Caucasian). They are mentored by over 1500 mentors -- all leading scientists, engineers, doctors and other professionals from over 250 institutions. All HCS students graduating high school students were admitted to college/university, with 20% attending Ivy League schools. "HCS Global Science Parades and Science Street Fairs & Festivals", organized in the Fall each year are the jewels in the crown of the HCS program, culminating in a series of simultaneous worldwide, global webcasted events, where students present their hands-on research projects. The event celebrates the unifying impact of academic inquiry and the human spirit across continental and cultural divides.
Views: 78 hcsnyc

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Modular Arithmetic is a fundamental component of cryptography. In this video, I explain the basics of modular arithmetic with a few simple examples. Learn Math Tutorials Bookstore http://amzn.to/1HdY8vm Donate - http://bit.ly/19AHMvX STILL NEED MORE HELP? Connect one-on-one with a Math Tutor. Click the link below: https://trk.justanswer.com/aff_c?offer_id=2&aff_id=8012&url_id=232 :)
Views: 156469 Learn Math Tutorials

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Views: 2389 Hitesh Choudhary

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Views: 679 intrigano

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Views: 29369 Quick Trixx

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This Algorithm is used to exchange the secret /symmetric key between sender and receiver. This exchange of key can be done with the help of public key and private key step 1 Assume prime number p step 2 Select a such that a is primitive root of p and a less than p step 3 Assume XA private key of user A step 4 Calculate YA public key of user A with the help of formula step 5 Assume XB private key of user B step 6 Calculate YB public key of user B with the help of formula step 7 Generate K secret Key using YB and XA with the help of formula at Sender side. step 8 Generate K secret Key using YA and XB with the help of formula at Receiver side.

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Spies used to meet in the park to exchange code words, now things have moved on - Robert Miles explains the principle of Public/Private Key Cryptography note1: Yes, it should have been 'Obi Wan' not 'Obi One' :) note2: The string of 'garbage' text in the two examples should have been different to illustrate more clearly that there are two different systems in use. http://www.facebook.com/computerphile https://twitter.com/computer_phile This video was filmed and edited by Sean Riley. Computer Science at the University of Nottingham: http://bit.ly/nottscomputer Computerphile is a sister project to Brady Haran's Numberphile. See the full list of Brady's video projects at: http://bit.ly/bradychannels
Views: 428185 Computerphile

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Creating an app capable of generating values of public and private keys as well as encrypting and decrypting ciphertext messages based on two prime number inputs using the foundational principles of asymmetric key RSA encryption. Special thanks to Khan Academy for several reference points throughout the video!!! 3:26: N is NOT part of the private key. 5:11: On powerpoint: 9, 6, and 3 all share factors with 9; 8, 7, 5, 4, 2, and 1 don't share factors with 9 that are greater than 1. 10:00: Video gets a little spotty here, so in case you can't hear, she's saying "It's easy to compute D given the value of Phi N, however . . ." By: Sofia Flynn
Views: 1546 Sofia Flynn

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Cyclic groups are the building blocks of abelian groups. There are finite and infinite cyclic groups. In this video we will define cyclic groups, give a list of all cyclic groups, talk about the name “cyclic,” and see why they are so essential in abstract algebra. If​ ​you​’d​ ​like​ ​to​ ​help​ ​us​ ​make​ ​videos more quickly,​ ​you​ ​can​ ​support​ ​us​ on ​Patreon​ at https://www.patreon.com/socratica We​ ​also​ ​welcome​ ​Bitcoin​ ​donations!​ ​​ ​Our​ ​Bitcoin​ ​address​ ​is: 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9 Thank​ ​you!! ************** We recommend the following textbooks: Dummit & Foote, Abstract Algebra 3rd Edition http://amzn.to/2oOBd5S Milne, Algebra Course Notes (available free online) http://www.jmilne.org/math/CourseNotes/index.html ************** Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W You​ ​can​ ​also​ ​follow​ ​Socratica​ ​on: -​ ​Twitter:​ ​@socratica -​ ​Instagram:​ ​@SocraticaStudios -​ ​Facebook:​ ​@SocraticaStudios ******** Teaching​ ​Assistant:​ ​​ ​Liliana​ ​de​ ​Castro Written​ ​&​ ​Directed​ ​by​ ​Michael​ ​Harrison Produced​ ​by​ ​Kimberly​ ​Hatch​ ​Harrison
Views: 140897 Socratica

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Join Facebook Group: https://www.facebook.com/groups/majorprep/ Follow MajorPrep on Twitter: https://twitter.com/MajorPrep1 This video covers how imaginary numbers are used to solve real worlds problems in math, science, and engineering as well as a derivation of the most beautiful equation in math. The main topics include signals, controls, quantum mechanics, electromagnetism, and circuits but imaginary numbers do have more applications. #complexNumbers #mostbeautifulequation ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Support the Channel Patreon: https://patreon.com/majorprep PayPal(one time donation): https://www.paypal.me/majorprep ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/majorprep *************************************************** ► For more information on math, science, and engineering majors, check us out at https://majorprep.com Best Ways to Contact Me: Facebook, twitter, or email ([email protected])
Views: 105616 MajorPrep

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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 best to answer!
Views: 41020 Theoretically

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Learn to identify Co Prime Numbers, Twin Prime Numbers and Prime Triplets.
Views: 72018 MathsSmart

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Factorization is an endless source of puzzles. If you see a number like 7668, it can be surprisingly fun to search for its prime factors. I present a couple of puzzles related to factorization, before focusing in upon prime numbers. I describe the famous 'Goldbach conjecture' and 'twin prime conjecture', which are some of the most infamous problems in number theory. I also describe how the ancients used the sieve of Eratosthenes to compute primes, and discuss my favorite upon problem regarding the primes. Is there a formula which can be used quickly to find the next.prime ? Or is there same shroud of pseudo randomness or computational irreducibly which will always safeguard the mysterious of the primes.
Views: 2499 Richard Southwell

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Description and example of getting the prime factors of a number using the Fermat algorithm. Questions? Feel free to post them in the comments and I'll do my best to answer!
Views: 10019 Theoretically

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Views: 2470952 3Blue1Brown

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Learn more advanced front-end and full-stack development at: https://www.fullstackacademy.com Elliptic Curve Cryptography (ECC) is a type of public key cryptography that relies on the math of both elliptic curves as well as number theory. This technique can be used to create smaller, faster, and more efficient cryptographic keys. In this Elliptic Curve Cryptography tutorial, we introduce the mathematical structure behind this new algorithm. Watch this video to learn: - What Elliptic Curve Cryptography is - The advantages of Elliptic Curve Cryptography vs. old algorithms - An example of Elliptic Curve Cryptography

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Recorded with http://screencast-o-matic.com
Views: 147 Elizabeth Vincent

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Learn more advanced front-end and full-stack development at: https://www.fullstackacademy.com Public Key Encryption is a cryptographic system that uses pairs of keys: public keys which may be known widely, and private keys known only to the message's recipient. In a public key encryption system, the public key is used to encrypt messages and only the corresponding private key can be used to decrypt them. In this video, we discuss the advantages of this system by giving public key encryption examples. Watch this video to learn: - The basics of cryptography - Common problems in symmetric key encryption - How public key encryption solves some of those problems

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Views: 761 WolfPack Cryptos

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Views: 2929 slide show me

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It's time for the annual Dynamite and Explosives Conference. Learn about elementary probability with the Max Goboom. Max decided to rig all of the tables that are prime numbers with explosives. Solve the example problem to figure out the probability of a random guest sitting at a booby-trapped table. We have a feeling you're going to do a dynamite job. Take a look at our probability guide: http://www.shmoop.com/basic-statistics-probability/
Views: 1123 Shmoop

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This is a lecture on Digital Design, specifically an Introduction to Karnaugh Maps including an example that shows the equation of a system that finds the prime numbers between 0 and 31. Lecture by James M. Conrad at the University of North Carolina at Charlotte. The PowerPoint slides are in support of the book “Digital Design with RTL Design, VHDL, and Verilog” by Frank Vahid. See http://webpages.uncc.edu/~jmconrad/EducationalMaterials/index.html for more information on the Digital Design Course.

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Daniele Micciancio, UC San Diego The Mathematics of Modern Cryptography http://simons.berkeley.edu/talks/daniele-micciancio-2015-07-06
Views: 1962 Simons Institute

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A solution to a typical exam question. See my other videos https://www.youtube.com/channel/UCmtelDcX6c-xSTyX6btx0Cw/.
Views: 290168 Randell Heyman

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Introduction to Cryptography, includes Modular Arithmetic and Numerical Representation tutorial
Views: 1079 Daniel Rees

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Miller Rabin Python

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Farey Sequence. Farey Sequence in number theory. Farey Sequence examples. Farey Sequence problems. Farey series. Farey Sequence explained. #FareySequence #NumberTheory #mathematicsAnalysis Like share subscribe Music credit - lakley inspired Thanks for watching....

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What does it mean for something to be Turing Complete? Professor Brailsford explains. Turing Machine Primer: https://youtu.be/DILF8usqp7M Turing Machines Explained: https://youtu.be/dNRDvLACg5Q Chomsky Hierarchy: https://youtu.be/224plb3bCog What on Earth is Recursion?: https://youtu.be/Mv9NEXX1VHc http://www.facebook.com/computerphile https://twitter.com/computer_phile This video was filmed and edited by Sean Riley. Computer Science at the University of Nottingham: http://bit.ly/nottscomputer Computerphile is a sister project to Brady Haran's Numberphile. More at http://www.bradyharan.com
Views: 131149 Computerphile

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Views: 244 BTYoungScientists

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Its a student level project developed in JAVA, the core concept of this project is, data security plays an important role where confidentiality, authentication, integrity, non repudiation are given importance. The universal technique for providing confidentiality of transmitted data is cryptography. This paper provides a technique to encrypt the data using a key involving Armstrong numbers and colors as the password. Three set of keys are used to provide secure data transmission with the colors acting as vital security element thereby providing authentication.

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http://www.jmbullion.com/?utm_source=realist-news&utm_medium=display&utm_campaign=Realist-News (Recommended for Silver and Gold Purchases.) http://www.realistnews.net
Views: 7641 jsnip4

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This episode is brought to you by Squarespace: http://www.squarespace.com/physicsgirl With recent high-profile security decryption cases, encryption is more important than ever. Much of your browser usage and your smartphone data is encrypted. But what does that process actually entail? And when computers get smarter and faster due to advances in quantum physics, how will encryption keep up? http://physicsgirl.org/ ‪http://twitter.com/thephysicsgirl ‪http://facebook.com/thephysicsgirl ‪http://instagram.com/thephysicsgirl http://physicsgirl.org/ Help us translate our videos! http://www.youtube.com/timedtext_cs_panel?c=UC7DdEm33SyaTDtWYGO2CwdA&tab=2 Creator/Editor: Dianna Cowern Writer: Sophia Chen Animator: Kyle Norby Special thanks to Nathan Lysne Source: http://gva.noekeon.org/QCandSKD/QCand... http://physicsworld.com/cws/article/n... https://epic.org/crypto/export_contro... http://fas.org/irp/offdocs/eo_crypt_9... Music: APM and YouTube
Views: 272510 Physics Girl

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This video lecture is produced by S. Saurabh. He is B.Tech from IIT and MS from USA. RSA Algorithm and public key encryption | rivest shamir adleman algorithm To study interview questions on Linked List watch http://www.youtube.com/playlist?list=PL3D11462114F778D7&feature=view_all To prepare for programming Interview Questions on Binary Trees http://www.youtube.com/playlist?list=PLC3855D81E15BC990&feature=view_all To study programming Interview questions on Stack, Queues, Arrays visit http://www.youtube.com/playlist?list=PL65BCEDD6788C3F27&feature=view_all To watch all Programming Interview Questions visit http://www.youtube.com/playlist?list=PLD629C50E1A85BF84&feature=view_all To learn about Pointers in C visit http://www.youtube.com/playlist?list=PLC68607ACFA43C084&feature=view_all To learn C programming from IITian S.Saurabh visit http://www.youtube.com/playlist?list=PL3C47C530C457BACD&feature=view_all
Views: 5032 saurabhschool

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