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Fermat's Little Theorem | Cryptography And Network Security | Tutorials | Cryptography
 
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In this youtube channel, we are going to teach you the basic concepts of Cryptography and Network Security. In this video, we have discussed how to solve Fermat's Little Theorem. Visit Our Channel :- https://www.youtube.com/channel/UCxik... Follow Smit Kadvani on:- Facebook :- https://www.facebook.com/smit.kadvani Instagram :- https://www.instagram.com/the_smit0507 Follow Dhruvan Tanna on :- Facebook :- https://www.facebook.com/dhruvan.tanna1 Instagram :- https://www.instagram.com/dhru1_tanna Follow Keyur Thakkar on:- Facebook:- https://www.facebook.com/keyur.thakka... Instagram :- https://www.instagram.com/keyur_1982 Snapchat :- keyur1610 Follow Ankit Soni on:- Instagram :- https://www.instagram.com/ankit_soni1511 Answers : 7^14mod13 = 10 456^17mod17 = 14 9^12mod13=1
Views: 8381 Quick Trixx
Fermat Little Theorem
 
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Views: 29926 Pankaj Baluja
Euler's Theorem | Cryptography And Network Security | Tutorials | Cryptography
 
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In this youtube channel we are going to teach you the basic concepts of Cryptography and Network Security. In this video we have discussed about how to solve Euler's Theorem. Visit Our Channel :- https://www.youtube.com/channel/UCxik... In this lecture we have taught about Euler's Theorem in Cryptography. Follow Smit Kadvani on :- Facebook :- https://www.facebook.com/smit.kadvani Instagram :- https://www.instagram.com/the_smit0507 Follow Dhruvan Tanna on :- Facebook :- https://www.facebook.com/dhruvan.tanna1 Instagram :- https://www.instagram.com/dhru1_tanna Follow Keyur Thakkar on :- Facebook :- https://www.facebook.com/keyur.thakka... Instagram :- https://www.instagram.com/keyur_1982 Snapchat :- keyur1610 Follow Ankit Soni on:- Instagram :- https://www.instagram.com/ankit_soni1511
Views: 15129 Quick Trixx
Fermat's little theorem | Journey into cryptography | Computer Science | Khan Academy
 
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Introduction to a key result in elementary number theory using a visualization with beads Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/random-algorithms-probability/v/fermat-primality-test-prime-adventure-part-10?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/random-algorithms-probability/v/random-primality-test-prime-adventure-part-9?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 77888 Khan Academy Labs
Fermat Little Theorem
 
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This is a very powerful This is an excellent video explaining the concept of Fermat's Little Theorem. Subscribe to our channel for more such videos. Fermat Theorem is one of the most popular concepts students use while trying to solve remainder problems in MBA exams like CAT, GMAT, XAT etc. Fermat Theorem is a very powerful concept which can be used to break down complex remainder theorem problems into easier sub parts. A basic understanding of modulus and GCD is necessary to understand the theorem well. You can get more such videos for free here: https://cracku.in/cat/video-concepts #cracku #cat #cat2017 #quant #di #fermat #catpuzzle #catexam #preparation #gmat #lcd #shortcuts #video
Views: 17918 Cracku
Fermet Theorem and Eulers theorem - Cryptography lecture series
 
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In this lecture series, you will be learning about cryptography basic concepts and examples related to it. Detailed explanation of Fermet Theorem and Eulers theorem with example.
Views: 1714 Eezytutorials
Fermat's Little Theorem examples
 
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Find the least residue (modulo p) using Fermat's Little Theorem; or find the remainder when dividing by p. We start with a simple example, so that we can easily check the answer, then look at much bigger numbers where the answers cannot be directly checked on a calculator.
Views: 168620 Maths with Jay
Eulers Theorem, Fermats Theorem and Discrete Logarithms (CSS322, L11, Y14)
 
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Continued coverage of number theory for public key cryptography: Euler's totient function, Fermat's theorem, Euler's theorem, discrete logarithms, primitive roots. Course material via: http://sandilands.info/sgordon/teaching
Views: 30011 Steven Gordon
RSA Encyption
 
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My entry for the Breakthrough Junior Challenge. Solution to test exercise: p = 71, q = 89 n = 6319 phi = 6160 e = 3 d = 4107 "Go" = 715 (3320 encoded) "Up" = 2116 (5350 encoded) References: Modular Arithmetic: http://artofproblemsolving.com/wiki/index.php/Modular_arithmetic/Introduction Euclidean Algorithm: http://artofproblemsolving.com/wiki/index.php/Euclidean_algorithm Euler Totient Function: http://www.artofproblemsolving.com/wiki/index.php/Euler's_totient_function Exponentiation By Squaring: https://en.wikipedia.org/wiki/Exponentiation_by_squaring Euler’s Theorem: https://en.wikipedia.org/wiki/Euler%27s_theorem Fermat’s Little Theorem: https://en.wikipedia.org/wiki/Fermat%27s_little_theorem ---There are many fascinating concepts and theories to choose from. Why did you pick this one? I picked RSA encryption as my topic because it is fundamental to the security of the internet, something which most people take for granted. Everyone should know why it is safe to send messages across the internet without fear of them being stolen. Since RSA is one of the primary encryption methods used by modern computers, people should know how it works. I also felt that this topic would be something that the majority of people don't actually know, so it would be beneficial to have a video such as this that is accessible for the average person to understand. I also make it a point to add in a clear, concrete example of why RSA encryption works, so that someone who watched the video could visualize the way RSA protects our information. ---Tell us about yourself! Why do you believe that it is important to study mathematics, life sciences, or physics? I have a lot of experience in math. Ever since I was young, math has been my favorite subject. In high school I took an accelerated math course through multi variable calculus, and I also participated in many math competitions such as USAMO. The reason that studying STEM areas is so important is because they literally represent the future progress of our society. Each discovery and breakthrough furthers our society's knowledge and gives us access to new technology to improve the quality of life of everyone on the planet. Furthermore, STEM jobs pay very nice salaries, making it very easy to have a comfortable life as a STEM worker. ---What specific area(s) of mathematics, life sciences, or physics would you like to pursue in the future and why? Currently I am not sure exactly which areas of math I will pursue in the future, since I could see myself in either a pure or an applied field. But hey, isn't that what college is for? ---Tell us about a teacher who inspired your interest in mathematics, life sciences, or physics. What is the teacher's name? What did that teacher do to develop your passion for learning and discovery? The teacher who inspired me the most was my math team coach, Mr. Curt Michener. He convinced me to join the math team, and eventually I caught the math bug. If it weren't for him, I would have never truly realized my love for mathematics. He also provided me many opportunities to participate in math competitions, such as AMC, Math League, and Moody's Mega Math Challenge. I couldn't have done it without Mr. Michener. ---If you win the Breakthrough Junior Challenge, your school will receive a new, cutting-edge science lab from Cold Spring Harbor. How would this lab benefit your school? The lab would reward those who worked hard in their science classes, hopefully causing more people to fall in love with science. That would be great for my school because we always need more science majors.
Views: 1758 Jordan Haack
Cryptography Fermat and Euler (number theory)
 
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Fermat and Euler To get certificate subscribe: https://www.coursera.org/learn/crypto ======================== Playlist URL: https://www.youtube.com/playlist?list=PL2jykFOD1AWYosqucluZghEVjUkopdD1e ======================== About this course: Cryptography is an indispensable tool for protecting information in computer systems. In this course you will learn the inner workings of cryptographic systems and how to correctly use them in real-world applications. The course begins with a detailed discussion of how two parties who have a shared secret key can communicate securely when a powerful adversary eavesdrops and tampers with traffic. We will examine many deployed protocols and analyze mistakes in existing systems. The second half of the course discusses public-key techniques that let two parties generate a shared secret key.
Views: 456 intrigano
BIG Exponents - Modular Exponentiation, Fermat's, Euler's
 
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How to deal with really big exponents using the three main methods: Modular Exponentiation, Fermat's Little Theorem, and Euler's Theorem. Also explains which method to pick. Table of contents: Which to pick? - 0:47 Fermat's Example - 1:39 Modular Exponentiation Example - 4:43 Euler's Example - 10:13
Views: 29500 Theoretically
Primality Testing - Fermat
 
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Using the Little Fermat Theorem to test for primality. MISTAKE: Everywhere it says 561, it should say 23. Questions? Feel free to post them in the comments and I'll do my best to answer!
Views: 3581 Theoretically
Applying Fermat's Little Theorem
 
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Here we find a remainder using the powerful Fermat's Little Theorem.
Views: 7894 Joshua Helston
Inverse Using Fermat's Little Theorem | Modulo Arithmatic | Cryptography And Network Security |
 
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In this youtube channel we are going to teach you the basic concepts of Cryptography and Network Security. In this video we have discussed about how to find Inverse using Fermant's Little Theorem. Visit Our Channel :- https://www.youtube.com/channel/UCxik... Programming Interview, Software Interview, Data Structure, Algorithm, modular multiplicative inverse, multiplicative inverse, modular arithmetic, fermats theorem, euler's totient, Euler's Totient Function, Fermat's Little Theorem, Modular Multiplicative Inverse | Fermat's Theorem | Euler's Totient, yt:crop=16:11, Follow Smit Kadvani on :- Facebook :- https://www.facebook.com/smit.kadvani Instagram :- https://www.instagram.com/the_smit0507 Follow Dhruvan Tanna on :- Facebook :- https://www.facebook.com/dhruvan.tanna1 Instagram :- https://www.instagram.com/dhru1_tanna Follow Keyur Thakkar on :- Facebook :- https://www.facebook.com/keyur.thakka... Instagram :- https://www.instagram.com/keyur_1982 Snapchat :- keyur1610 Follow Ankit Soni on:- Instagram :- https://www.instagram.com/ankit_soni1511
Views: 6093 Quick Trixx
Congruence and Fermat’s little theorem
 
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Introduction to congruence and the terminology used. Fairly basic with emphasis on the arithmetic of remainders. Examples of the addition and multiplication rules for congruence. Powers and Fermat’s little theorem. Lastly an example solved using Fermat’s little theorem.
Views: 81923 DLBmaths
Fermat's Theorems - Professor Raymond Flood
 
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Gresham Professor of Geometry, Raymond Flood, begins his series 'Great Mathematicians, Great Mathematics' with Pierre de Fermat:http://www.gresham.ac.uk/lectures-and-events/fermats-theorems The seventeenth century mathematician Pierre de Fermat is mainly remembered for contributions to number theory even though he often stated his results without proof and published very little. He is particularly remembered for his ‘last theorem’ which was only proved in the mid-1990s by Andrew Wiles. He also stated other influential results, in particular Fermat’s ‘Little Theorem’ about certain large numbers which can be divided by primes. His ‘Little Theorem’ is the basis of important recent work in cryptography and internet security. The transcript and downloadable versions of the lecture are available from the Gresham College Website: http://www.gresham.ac.uk/lectures-and-events/fermats-theorems Gresham College has been giving free public lectures since 1597. This tradition continues today with all of our five or so public lectures a week being made available for free download from our website. There are currently over 1,500 lectures free to access or download from the website. Website: http://www.gresham.ac.uk Twitter: http://twitter.com/GreshamCollege Facebook: https://www.facebook.com/greshamcollege
Views: 26664 Gresham College
Fermat Little theorem
 
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Views: 5816 Pankaj Baluja
Chinese Remainder Theorem  | Cryptography And Network Security
 
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Step by step instructions on how to use The Chinese Remainder Theorem to solve a system of linear congruence. Visit Our Channel :- https://www.youtube.com/channel/UCxikHwpro-DB02ix-NovvtQ In this lecture we have taught about what how to solve multiplicative cipher method. Follow Smit Kadvani on :- Facebook :- https://www.facebook.com/smit.kadvani Instagram :- https://www.instagram.com/the_smit0507 Follow Dhruvan Tanna on :- Facebook :- https://www.facebook.com/dhruvan.tanna1 Instagram :- https://www.instagram.com/dhru1_tanna Follow Keyur Thakkar on :- Facebook :- https://www.facebook.com/keyur.thakka... Instagram :- https://www.instagram.com/keyur_1982 Snapchat :- keyur1610 Follow Ankit Soni on:- Facebook :- https://www.facebook.com/ankitsoni.1511 Instagram :- https://www.instagram.com/ankit_soni1511
Views: 31802 Quick Trixx
Fermat's (Euler) Theorem: The Old Math behind modern eCommerce
 
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The bizarre theorem proposed by Fermat in 1640, and proven almost 100 years later by Euler, as a non-applicative gem of pure math, has been dusted off by modern cryptography, and is now exploited in powerful protocols that enable the miracle of cyber commerce. Looking back the proof is so simple, one wonders why it took so long? Is there more math insight there -- that we don't see, but our adversaries do?
Views: 11839 Gideon Samid
Modular Multiplicative Inverse | Fermat's Theorem | Euler's Totient
 
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This video lecture is produced by S. Saurabh. He is B.Tech from IIT and MS from USA. In this lecture you will learn 1. What is modular multiplicative inverse 2. How to calculate it using Fermat's theorem 3. calculate it using Euler's totient 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: 16851 saurabhschool
Fermat's Primality Testing |With Solved Example | Cryptography And Network Security
 
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In this video we have discussed about how to test whether the Fermat theorems fails or not using Primality Testing. Visit Our Channel :- https://www.youtube.com/channel/UCxik... In this lecture we have taught about what how to solve Fermat's Primality Testing. Follow Smit Kadvani on :- Facebook :- https://www.facebook.com/smit.kadvani Instagram :- https://www.instagram.com/the_smit0507 Follow Dhruvan Tanna on :- Facebook :- https://www.facebook.com/dhruvan.tanna1 Instagram :- https://www.instagram.com/dhru1_tanna Follow Keyur Thakkar on :- Facebook :- https://www.facebook.com/keyur.thakka... Instagram :- https://www.instagram.com/keyur_1982 Snapchat :- keyur1610 Follow Ankit Soni on:- Facebook :- https://www.facebook.com/ankitsoni.1511 Instagram :- https://www.instagram.com/ankit_soni1511
Views: 6303 Quick Trixx
Calculus - Application of Differentiation (10 of 60) Fermat's Theorem Explained
 
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Visit http://ilectureonline.com for more math and science lectures! In this video I will explain Fermat's Theorem.
Views: 9250 Michel van Biezen
Fermat theorem | Fermat Little Theorem with example
 
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Topic covered : Fermat Little theorem and examples in hindi Find the least residue (modulo p) using Fermat's Little Theorem; or find the remainder when dividing by p. We start with a simple example, so that we can easily check the answer, then look at much bigger numbers where the answers cannot be directly checked on a calculator. Facebook page .. https://www.facebook.com/Math.MentorJi/ Math Institute https://youtu.be/m1PzzVSoFQs Graduate Math app :https://goo.gl/vo2Tj2 Facebook page .. https://www.facebook.com/Math.MentorJi/ Math Institute https://youtu.be/m1PzzVSoFQs Graduate Math app :https://goo.gl/vo2Tj2 Euler's phi funciton https://youtu.be/e5TkgCAYBdk Kernel of homomorphism : https://youtu.be/Sm660fGG5sE homomorphism and isomorphism : https://youtu.be/WaNdQh0w6Xc Quotient group :https://youtu.be/zPhKD7ucMY8 Normal Subgroup :https://youtu.be/WkSAWw_4uPE Product of subgroup :https://youtu.be/o4tCeHZvogM thoerem related subgroup : https://youtu.be/cfT3ZFmfNLI Subgroup and examples = https://youtu.be/H7CKR1Nevnw (a+b)^2 =https://youtu.be/5i5yL2BCwpc permuatation group theory :https://youtu.be/-VvUsxsujyc Examples of singularity :https://youtu.be/cgsB8Z5WSPk Riemann Sum : https://youtu.be/Z3Ecy2Zwukw Riemann Sum problems https://youtu.be/LKuZreMPiRQ infimum and supremum https://youtu.be/mK6NZznoZeg Dirichlet and able test https://youtu.be/WyoMpdh7f0c uniform convergence : https://youtu.be/_WWsMl0_9BI MN Test of uniform : https://youtu.be/r5yec-FtlUE pointwise convergence:http://youtu.be/o_0YjNo_v64 Cauchy integral Formula :http://youtu.be/LEJBT0nLngM complex integration : http://youtu.be/s2wPryo_Hfs Limit pt .of infimum & supremue :http://youtu.be/zIn8CTcX-6A comparsion test(convergence) : http://youtu.be/02IncEDug2Y Cauchy all theorm :http://youtu.be/G5ZTzjN8KQA Cauchy sequence with example :http://youtu.be/B-7cUVXSZeI Cauchy nth root test :http://youtu.be/AOPIZsR4JkU Basics Of Sequence And Series :http://youtu.be/IZgNfFc481M Convergence sequence : http://youtu.be/c3Il3eEPvF0 Kernel of homomorphism : https://youtu.be/Sm660fGG5sE homomorphism and isomorphism : https://youtu.be/WaNdQh0w6Xc Quotient group :https://youtu.be/zPhKD7ucMY8 Normal Subgroup :https://youtu.be/WkSAWw_4uPE Product of subgroup :https://youtu.be/o4tCeHZvogM thoerem related subgroup : https://youtu.be/cfT3ZFmfNLI Subgroup and examples = https://youtu.be/H7CKR1Nevnw (a+b)^2 =https://youtu.be/5i5yL2BCwpc permuatation group theory :https://youtu.be/-VvUsxsujyc Examples of singularity :https://youtu.be/cgsB8Z5WSPk Riemann Sum : https://youtu.be/Z3Ecy2Zwukw Riemann Sum problems https://youtu.be/LKuZreMPiRQ infimum and supremum https://youtu.be/mK6NZznoZeg Dirichlet and able test https://youtu.be/WyoMpdh7f0c uniform convergence : https://youtu.be/_WWsMl0_9BI MN Test of uniform : https://youtu.be/r5yec-FtlUE pointwise convergence:http://youtu.be/o_0YjNo_v64 Cauchy integral Formula :http://youtu.be/LEJBT0nLngM complex integration : http://youtu.be/s2wPryo_Hfs Limit pt .of infimum & supremue :http://youtu.be/zIn8CTcX-6A comparsion test(convergence) : http://youtu.be/02IncEDug2Y Cauchy all theorm :http://youtu.be/G5ZTzjN8KQA Cauchy sequence with example :http://youtu.be/B-7cUVXSZeI Cauchy nth root test :http://youtu.be/AOPIZsR4JkU Basics Of Sequence And Series :http://youtu.be/IZgNfFc481M Convergence sequence : http://youtu.be/c3Il3eEPvF0 Power series radius,domain convergent:https://youtu.be/C8Bw-gFC1Gg
Views: 4402 Math Mentor
Fermat's little Theorem Applied Cryptography
 
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-- Created using PowToon -- Free sign up at http://www.powtoon.com/youtube/ -- Create animated videos and animated presentations for free. PowToon is a free tool that allows you to develop cool animated clips and animated presentations for your website, office meeting, sales pitch, nonprofit fundraiser, product launch, video resume, or anything else you could use an animated explainer video. PowToon's animation templates help you create animated presentations and animated explainer videos from scratch. Anyone can produce awesome animations quickly with PowToon, without the cost or hassle other professional animation services require.
Views: 634 Toures Tiu
Eulers Theorem - Applied Cryptography
 
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This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
Views: 2550 Udacity
Proving Eulers Theorem Pt1 - Applied Cryptography
 
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This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
Views: 5161 Udacity
Fermat's little theorem made easy
 
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4 typical exam or test questions. For Fermat's LAST Theorem click here https://www.youtube.com/watch?v=TEQrxlcprbY&t=2s
Views: 5980 Randell Heyman
Euler's Totient Theorem: What is Euler's Totient Theorem and Why is it useful?
 
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Here I explain Euler's Theorem. What is Euler's Theorem? and Why is it useful? My web page: www.imperial.ac.uk/people/n.sadawi
Views: 22800 Noureddin Sadawi
Number Theory: Fermat's Little Theorem
 
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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: 134420 Socratica
Fermat's Little Theorem
 
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a^p-1is 1 mod p.
Views: 209 ultrascience
Euler function fermats theorem to find out remainders, CAT Quantitative aptitude
 
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How eulers function and fermats theorem are useful to find out remainders, watch the video and solve the problems. Visit www.learnersplanet.com for practice questions, free notes and much more..Quant session by Alka Maheshwari, Watch the complete series at www.learnersplanet.com. Call 9099020032 for further information. Follow us : https://www.facebook.com/LearnersPlanet https://twitter.com/Learners_Planet https://plus.google.com/+Learnersplanet-alka-maheshwari/posts https://www.youtube.com/user/TheLearnersPlanet http://www.learners-planet.blogspot.com/ https://plus.google.com/+AlkaMaheshwari/posts
Views: 9104 Learners' Planet
Number System Remainder Theorem Fermat's Theorem & Wilson's Theorem (Part-17)
 
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Number system is the topic which covers the basic concepts of whole mathematics. If you have a strong command on this chapter than you will be at ease with other chapter. In this video we will discuss the number system in great detail and we will also try to understand that how can we solve others chapters with the help of number system. This will be very helpful for you in preparing for SSC CGL, IBPS Bank PO and Clerk SBI Bank PO and clerk CAT and other competitive exams.this videos is for Fermat's Theorem & Wilson's Theorem.
Views: 4212 M.A.L Tutorials
Intro proof Fermat's Last Theorem
 
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Elliptic curves, modular forms and the beautiful link between them. More videos https://www.youtube.com/channel/UCmtelDcX6c-xSTyX6btx0Cw/videos
Views: 35554 Randell Heyman
Fermat's Little Theorem
 
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A presentation of fermat's little theorem for RSA Next video: https://youtu.be/WrVXuneadH8
Views: 34 Hunter Johnson
Introduction to Number Theory Tutorial 11   Cryptography and Fermat's Little Theorem
 
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Introduction to Number Theory Tutorial 11 Cryptography and Fermat's Little Theorem
Views: 49 Chicku E Tutorials
Fermat's Little Theorem (Visualization)
 
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Fermat's Little Theorem Visualized. Introduction to a key result in elementary number theory using a visualization with beads
Views: 88869 Art of the Problem
شرح modular Inverse,Euler‘s Phi Function,Fermat‘s Little Theorem
 
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شرح modular Inverse,Euler‘s Phi Function,Fermat‘s Little Theorem
Views: 599 mohamed ftouh
How to find Remainders - Using Fermat's little theorem and Euler's Theorem
 
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In this video we look into few of the remainder theorems like Fermat's little theorem, Euler's Theorem which help us in calculating remainders. Math Tricks Workout by JustQuant.com: https://play.google.com/store/apps/details?id=com.sankhyantra.mathstricks&hl=en
Views: 66773 JustQuant.com
Fermat's Little Theorem
 
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Views: 2387 Miran Fattah
Fermat's Little Theorem Part 1
 
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Yeeeaahh Modular Arithmetic is awesome :D
Views: 5066 Cyclic Squares
What was Fermat’s “Marvelous" Proof? | Infinite Series
 
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If Fermat had a little more room in his margin, what proof would he have written there? Support us on Patreon at https://www.patreon.com/pbsinfiniteseries Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Resources: Contemporary Abstract Algebra by Joseph Gallian https://www.amazon.com/Contemporary-Abstract-Algebra-Joseph-Gallian/dp/1133599702 Standard Definitions in Ring Theory by Keith Conrad http://www.math.uconn.edu/~kconrad/blurbs/ringtheory/ringdefs.pdf Rings and First Examples (online course by Prof. Matthew Salomone) https://www.youtube.com/watch?v=h4UCMd8dyiM Fermat's Enigma by Simon Singh https://www.amazon.com/Fermats-Enigma-Greatest-Mathematical-Problem/dp/0385493622 Who was first to differentiate between prime and irreducible elements? (StackExchange) https://hsm.stackexchange.com/questions/3754/who-was-first-to-differentiate-between-prime-and-irreducible-elements Previous Episodes: What Does It Mean to be a Number? https://www.youtube.com/watch?v=3gBoP8jZ1Is What are Numbers Made of? https://www.youtube.com/watch?v=S4zfmcTC5bM Gabe's references from the comments: Blog post about the Peano axioms and construction of natural numbers by Robert Low: http://robjlow.blogspot.co.uk/2018/01/whats-number-1-naturally.html Recommended by a viewer for connections to formulation of numbers in computer science: https://softwarefoundations.cis.upenn.edu/ In 1637, Pierre de Fermat claimed to have the proof to his famous conjecture, but, as the story goes, it was too large to write in the margin of his book. Yet even after Andrew Wiles’s proof more than 300 years later, we’re still left wondering: what proof did Fermat have in mind? The mystery surrounding Fermat’s last theorem may have to do with the way we understand prime numbers. You all know what prime numbers are. An integer greater than 1 is called prime if it has exactly two factors: 1 and itself. In other words, p is prime if whenever you write p as a product of two integers, then one of those integers turns out to be 1. In fact, this definition works for negative integers, too. We simply incorporate -1. But the prime numbers satisfy another definition that maybe you haven’t thought about: An integer p is prime if, whenever p divides a product of two integers, then p divides at least one of those two integers. Written and Hosted by Tai-Danae Bradley Produced by Rusty Ward Graphics by Ray Lux Assistant Editing and Sound Design by Mike Petrow and Linda Huang Made by Kornhaber Brown (www.kornhaberbrown.com) Special thanks to Roman Pinchuk for supporting us on our Converse level on Patreon. Along with thanks to Matthew O'Connor, Yana Chernobilsky, and John Hoffman who are supporting us on Patreon at the Identity level! And thanks to Mauricio Pacheco who are supporting us at the Lemma level!
Views: 62048 PBS Infinite Series
Modular arithmetic with Fermat and Euler | Data Structures in Mathematics Math Foundations 197
 
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There are two important theorems that make the job of understanding powers in modular arithmetic much simpler. These go back to Fermat and Euler. We apply these to the nice problem of deciding z mod 13. Fermat's result helps us understand powers to a prime modulus. Euler's result relies on understanding the interesting Euler phi function, and is a generalization of Fermat's. As usual we like to illustrate theorems with explicit examples. Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of each lecture. Great for review, study and summary. A screenshot PDF which includes MathFoundations184 to 212 can be found at my WildEgg website here: http://www.wildegg.com/store/p105/product-Math-Foundations-C2-screenshots-pdf
Views: 6100 njwildberger
What is Fermat's Last Theorem?
 
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Professor Sir Andrew Wiles of Oxford University has been awarded the 2016 Abel Prize – one of the highest honours in mathematics – for his proof of Fermat’s Last Theorem. But what was this famous theorem, and why did it exercise the greatest minds for more than 300 years? Marcus du Sautoy, Simonyi Professor for the Public Understanding of Science at Oxford University, explains.
Views: 220145 University of Oxford
FERMAT'S THEOREM AND WILSON THEOREM BY B.K. TUTORIALS
 
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FERMAT'S THEOREM AND WILSON THEOREM BY B.K. TUTORIALS
Views: 1722 B.K. TUTORIALS