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Search results “Relatively prime numbers in cryptography puzzles”

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Subscribe Now: http://www.youtube.com/subscription_center?add_user=Ehow Watch More: http://www.youtube.com/Ehow Relative prime numbers, in mathematics terms, are numbers that have a few very clear characteristics. Learn about relative prime numbers in math with help from a longtime mathematics educator in this free video clip. Expert: Jimmy Chang Filmmaker: Christopher Rokosz Series Description: Mathematics and number theories don't just stop being useful the moment you get up from your desk and leave the classroom - they're actually very important all throughout our lives. Get a number theory education with help from a longtime mathematics educator in this free video series.
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People have been coding and decoding information ever since we learnt how to write. The Romans were one of the first to implement it, making what they considered to be the unbreakable 'Caesar Cipher'. The cipher was able to win the Romans many wars. Many other types of codes have existed since then. The German Enigma is one of the most infamous, spectacularly confusing the British until Alan Turing along with some Polish scientists finally cracked it. The American Navajo code is also one of the most famous codes because it wasn't really a code- just another language. Since the invention of the internet, however, we've created highly useful algorithms that work using prime numbers: The RSA, to name one. The RSA is the algorithm used to secure your bank account transactions on the internet. Watch the video to find out more! Music: www.bensound.com
Views: 218 Kinertia

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Another example of the Chinese Remainder Theorem, and an explanation of how its different if the two numbers arent coprime
Views: 16917 TheMathsters

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http://demonstrations.wolfram.com/RelativePrimesAndGCDs The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. The graphic plots a blue rectangle when the GCD of the (x,y) coordinate is equal to the GCD setting, and a yellow rectangle otherwise. When the GCD is set to 1, blue represents all of the pairs that are relatively prime. Contributed by: Marty Feuerstein-Mendik Audio created with WolframTones: http://tones.wolfram.com
Views: 177 wolframmathematica

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This talk by Keith Conrad (UConn) was part of UConn's Number Theory Day 2017.
Views: 418 UConn Mathematics

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Views: 9190 Glenn Olson

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Views: 279 Thinh Nghiem

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Views: 6358 GoldPlatedGoof

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Step by step instructions on how to use the Chinese Remainder Theorem to solve a system of linear congruences.
Views: 99518 Cathy Frey

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Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Symmetric keys are essential to encrypting messages. How can two people share the same key without someone else getting a hold of it? Upfront asymmetric encryption is one way, but another is Diffie-Hellman key exchange. This is part 3 in our Cryptography 101 series. Check out the playlist here for parts 1 & 2: https://www.youtube.com/watch?v=NOs34_-eREk&list=PLa6IE8XPP_gmVt-Q4ldHi56mYsBuOg2Qw Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode Topology vs. “a” Topology https://www.youtube.com/watch?v=tdOaMOcxY7U&t=13s Symmetric single-key encryption schemes have become the workhorses of secure communication for a good reason. They’re fast and practically bulletproof… once two parties like Alice and Bob have a single shared key in hand. And that’s the challenge -- they can’t use symmetric key encryption to share the original symmetric key, so how do they get started? Written and Hosted by Gabe Perez-Giz Produced by Rusty Ward Graphics by Ray Lux Assistant Editing and Sound Design by Mike Petrow and Meah Denee Barrington Made by Kornhaber Brown (www.kornhaberbrown.com) Thanks to Matthew O'Connor, Yana Chernobilsky, and John Hoffman who are supporting us on Patreon at the Identity level! And thanks to Nicholas Rose, Jason Hise, Thomas Scheer, Marting Sergio H. Faester, CSS, and Mauricio Pacheco who are supporting us at the Lemma level!
Views: 53848 PBS Infinite Series

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In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly. The prime factorization of a positive integer is a list of the integer's prime factors, together with their multiplicities; the process of determining these factors is called integer factorization. The fundamental theorem of arithmetic says that every positive integer has a single unique prime factorization. To shorten prime factorizations, factors are often expressed in powers (multiplicities). For example, This video is targeted to blind users. Attribution: Article text available under CC-BY-SA Creative Commons image source in video
Views: 34 Audiopedia

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Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi You’re about to throw a party with a thousand bottles of wine, but you just discovered that one bottle is poisoned! Can you determine exactly which one it is? Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com The answer to this puzzle comes from an unexpected place. Comments answered by Kelsey: Mike Guitar https://www.youtube.com/watch?v=ciM6wigZK0w&lc=z13ve5orekfkd1xu522jtpaiosb2e1oyz04 David de Kloet https://www.youtube.com/watch?v=ciM6wigZK0w&lc=z12xip24ixr4uvdmq23xwxcg3tyuc35kd Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Made by Kornhaber Brown (www.kornhaberbrown.com)
Views: 149908 PBS Infinite Series

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An elegant proof for the infinitude of primes by Paul Erdős, adapted so a teenager might understand. Apologies for the scratchy voice, had a cold and was losing my voice when recording this! A Submission for the Breakthrough Junior Challenge 2015.
Views: 3594 Wendi Fan

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http://demonstrations.wolfram.com/GeneratingAllCoprimePairs The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. Two integers are said to be coprime (or relatively prime) if they do not share a common divisor different than 1. For instance, 4 and 9 are coprime (no common divisor except 1), but 12 and 15 are not (common divisor 3). The plot shows generations of cop... Contributed by: Enrique Zeleny Audio created with WolframTones: http://tones.wolfram.com
Views: 596 wolframmathematica

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Views: 212860 Fright Knight

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Learn about prime numbers, solve math problems and explore recent discoveries and theories. Take this course free on edX: https://www.edx.org/course/fun-prime-numbers-mysterious-world-kyotoux-004x-0 ABOUT THIS COURSE Prime numbers are one of the most important subjects in mathematics. Many mathematicians from ancient times to the 21st century have studied prime numbers. In this math course, you will learn the definition and basic properties of prime numbers, and how they obey mysterious laws. Some prime numbers were discovered several hundred years ago whereas others have only been proven recently. Even today, many mathematicians are trying to discover new laws of prime numbers. Calculating by a pen and paper, you will explore the mysterious world of prime numbers. Join us as we tackle math problems, and work together to discover new laws on prime numbers. Let's study and have fun!
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Public-key cryptography, also known as asymmetric cryptography, is a class of cryptographic algorithms which require two separate keys, one of which is secret (or private) and one of which is public. Although different, the two parts of this key pair are mathematically linked. The public key is used to encrypt plaintext or to verify a digital signature; whereas the private key is used to decrypt ciphertext or to create a digital signature. The term "asymmetric" stems from the use of different keys to perform these opposite functions, each the inverse of the other -- as contrasted with conventional ("symmetric") cryptography which relies on the same key to perform both. Public-key algorithms are based on mathematical problems which currently admit no efficient solution that are inherent in certain integer factorization, discrete logarithm, and elliptic curve relationships. It is computationally easy for a user to generate their own public and private key-pair and to use them for encryption and decryption. The strength lies in the fact that it is "impossible" (computationally infeasible) for a properly generated private key to be determined from its corresponding public key. Thus the public key may be published without compromising security, whereas the private key must not be revealed to anyone not authorized to read messages or perform digital signatures. Public key algorithms, unlike symmetric key algorithms, do not require a secure initial exchange of one (or more) secret keys between the parties. This video is targeted to blind users. Attribution: Article text available under CC-BY-SA Creative Commons image source in video
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MIT 6.858 Computer Systems Security, Fall 2014 View the complete course: http://ocw.mit.edu/6-858F14 Instructor: Nickolai Zeldovich In this lecture, Professor Zeldovich discusses side-channel attacks, specifically timing attacks. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
Views: 13272 MIT OpenCourseWare

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Views: 69592 PBS Infinite Series

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Lecture title: "The Growth of Cryptography" Ronald L. Rivest, a professor of electrical engineering and computer science who helped develop one of the world's most widely used Internet security systems, was MIT’s James R. Killian, Jr. Faculty Achievement Award winner for 2010–2011. Rivest, the Andrew and Erna Viterbi professor in MIT's Department of Electrical Engineering and Computer Science, is known for his pioneering work in the field of cryptography, computer, and network security. February 8, 2011 Huntington Hall (10-250)

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Views: 436042 Fright Knight

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MIT 6.046J Design and Analysis of Algorithms, Spring 2015 View the complete course: http://ocw.mit.edu/6-046JS15 Instructor: Srinivas Devadas In this lecture, Professor Devadas continues with cryptography, introducing encryption methods. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
Views: 17971 MIT OpenCourseWare

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http://demonstrations.wolfram.com/WhyANumberIsPrime/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. Move the n slider to see that if n is a prime number, n squares cannot be arranged into a rectangular array unless the width or length is 1. That is, it is not possible to represent a prime as the product of two integers a◊b with a, bgt1. Contributed by: Enrique Zeleny
Views: 182 wolframmathematica

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From the Banff International Research Station for Mathematical Innovation and Discovery.
Views: 9505 KXM

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Views: 499768 I Like To Make Stuff

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Woodall numbers are the result of: Wn = n * 2^n -1 Some n values in this formula results in a prime number: n= 2, 3, 6, 30, 75, ...... Wn = 7, 23, 383, 32212254719, 2833419889721787128217599..... Exploring the 3 first Woodall primes With Touch Integers ℤ (+ - × ÷) https://play.google.com/store/apps/details?id=com.nummolt.touch.integers http://www.nummolt.com "Touch Integers ℤ" The fundamental theorem of arithmetic in practice: Prime numbers are the basic building blocks of numbers. Please: Subscribe the nummolt youtube channel. Nummolt apps: "Not Montessori per se, but Montessori-like"
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Views: 6356 F1tPara

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Opublikowany film jest nieco żartobliwym zaproszeniem do niezwykłej przygody z … matematyką. Nie, nie taką, którą większość z ludzi darzyła w szkole lękiem, obawą, a nawet traumą. Skąd pewność, że tym razem będzie inaczej? Krzysztof Cywiński – jest założycielem Fundacji „Cała Polska Liczy Dzieciom”, której podopieczni w roku ubiegłym osiągnęli sukces niezwykły: ponad 30-tu spośród nich zajęło w Międzynarodowym Konkursie Matematycznym „Kangur” miejsca honorowane dyplomem. Wynik na tyle istotny, że trafi do księgi rekordów Guinessa. Ponadto jest autorem książki, która zyskała status kultowej: ”Matematyka dla humanistów, dyslektyków i …innych przypadków beznadziejnych”. Pomimo ceny, nie można jej zdobyć nawet na … Allegro. Autor podarował prawa autorskie Fundacji, która dla swoich darczyńców przygotowuje dodruk. Autorzy, w kolejnych odcinkach, w bardzo przystępny sposób, prezentują jedną z najistotniejszych hipotez teorii liczb, z której udowodnieniem borykają się najbystrzejsze umysły swoich epok już od ponad 200 lat. Do historii matematyki weszła ona, od nazwiska uczonego, który ją sformułował, jako hipoteza Legendre. Każdy z filmików stanowi zaproszenie do zapoznania się z artykułami opublikowanymi na stronie: http://prime-numbers.pl Zapraszamy http://krzysztofcywinski.pl http://calapolskaliczydzieciom.pl

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The Social Security card and number explained. Visit the Grey subreddit: http://reddit.com/r/cgpgrey Special Thanks: Stephen P. Morse, PhD. http://stevemorse.org Ralph Gross, Postdoctoral Fellow, Carnegie Mellon University. https://peexlab.com Alessandro Acquisti, Professor, Carnegie Mellon University Mark Govea, Thomas J Miller Jr MD, Bob Kunz, John Buchan, Andres Villacres, Nevin Spoljaric, Christian Cooper, Michael Little, Ripta Pasay, Tony DiLascio, Richard Jenkins, Chris Chapin, Saki Comandao, Tod Kurt, Jason Lewandowski, Michael Mrozek, Phil Gardner, سليمان العقل, Jordan Melville, Martin , Steven Grimm, rictic , Ian , Faust Fairbrook, Chris Woodall, Kozo Ota, Colin Millions, Guillermo , Timothy Basanov, Chris Harshman, ChoiceMechanicalDenver.com , Donal Botkin, David Michaels, Ron Bowes, Tómas Árni Jónasson, Mikko , Derek Bonner, Derek Jackson, Orbit_Junkie , Alistair Forbes, Robert Grünke (trainfart), Veronica Peshterianu, Paul Tomblin, Travis Wichert, chrysilis , Ryan E Manning, Erik Parasiuk, Rhys Parry, Maarten van der Blij, Kevin Anderson, Ryan Nielsen, Esteban Santana Santana, Dag Viggo Lokøen, Tristan Watts-Willis, John Rogers, Edward Adams, Leon , ken mcfarlane, Brandon Callender, Timothy Moran, Peter Lomax, Emil , Tijmen van Dien, ShiroiYami , Alex Schuldberg, Bear , Jacob Ostling, Solon Carter, Rescla , Andrew Proue, Tor Henrik Lehne, David Palomares, Cas Eliëns, Freddi Hørlyck, Ernesto Jimenez, Osric Lord-Williams, Maxime Zielony, Lachlan Holmes , John Bevan, John Lee, Ian N Riopel, AUFFRAY Clement, David , Alex Morales, Alexander Kosenkov, Elizabeth Keathley, Kevin , Pierre Perrott, Tadeo Kondrak, James Bissonette, Jahmal O'Neil, Naturally Curious, Nantiwat , Tianyu Ge, Kevin Jeun, Jason Ruel, JoJo Chehebar, Danny Lunianga Xavier, Jeremy Peng, Jennifer Richardson, Rustam Anvarov Music by: http://www.davidreesmusic.com
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The world of investing/finance is divided into two camps. In one, you have the number-crunchers, who believe that the only things that matter are the numbers and that imagination/creativity are dangerous distractions. In the other, you have the storytellers, who build on the stories they tell about companies and how these stories will bring untold wealth. Each side believes it has a monopoly on the truth and looks with contempt at the other. Prof. Damodaran contends that stories matter, but only if they are connected with numbers. And numbers are empty, unless they are connected with narratives. In this talk, he looks at the process by which one might build narratives, check them against reality and convert them into valuations. Uber and Ferrari examples are used to illustrate the process. Slides for the talk: https://goo.gl/zKVaQL Check out the book on Google Play: https://goo.gl/tnGlDe This talk was moderated by Saurabh Madaan.

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MIT 6.858 Computer Systems Security, Fall 2014 View the complete course: http://ocw.mit.edu/6-858F14 Instructor: Nickolai Zeldovich In this lecture, Professor Zeldovich discusses how to cryptographically protect network communications, as well as how to integrate cryptographic protection of network traffic into the web security model. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
Views: 77789 MIT OpenCourseWare

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An explanation of cryptographic proof-of-work protocols, which are used in various cryptographic applications and in bitcoin mining. More free lessons at: http://www.khanacademy.org/video?v=9V1bipPkCTU Video by Zulfikar Ramzan. Zulfikar Ramzan is a world-leading expert in computer security and cryptography and is currently the Chief Scientist at Sourcefire. He received his Ph.D. in computer science from MIT.

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