MATH3411 Information, Codes and Ciphers We use Fermat factorisation to factor one of the three integers given in the problem. Presented by Thomas Britz, School of Mathematics and Statistics, Faculty of Science, UNSW Australia
From playlist MATH3411 Information, Codes and Ciphers
Prime Factorization - Fermat Algorithm
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!
From playlist Cryptography and Coding Theory
Theory of numbers: Fermat's theorem
This lecture is part of an online undergraduate course on the theory of numbers. We prove Fermat's theorem a^p = a mod p. We then define the order of a number mod p and use Fermat's theorem to show the order of a divides p-1. We apply this to testing some Fermat and Mersenne numbers to se
From playlist Theory of numbers
How to factor a binomial by factoring out the GCF as well as by difference of two squares
👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe
From playlist Factor Quadratic Expressions | Difference of Two Squares
Richard Pinch: Fermat's Last Theorem [1994]
Richard Pinch: Fermat's Last Theorem Based on the 1994 London Mathematical Society Popular Lectures, this special 'television lecture' entitled "Fermat's last theorem" is presented by Dr Richard Pinch. The London Mathematical Society is one of the oldest mathematical societies, founded i
From playlist Mathematics
"A Brief History of Fermat's Last Theorem" by Prof. Kenneth Ribet
The speaker discussed work on Fermat's Last Theorem over the last 350+ years. The theorem was proved in the mid-1990s using tools from contemporary arithmetic algebraic geometry. The speaker focused on such objects as elliptic curves, Galois representations and modular forms that are cen
From playlist Number Theory Research Unit at CAMS - AUB
Undergraduate math talk: Fermat's last theorem for exponent n=4
This is a math talk for undergraduates about Fermat's last theorem for exponent 4. We will see how Fermat proved this case using his "method of descent".
From playlist Math talks
How to apply factoring to a word problem of a rectangle
👉Learn the basics of factoring quadratics by using different techniques. Some of the techniques used in factoring quadratics include: when the coefficient of the squared term is not 1. In that case, we first write the quadratic in standard form, next we multiply the coefficient of the squa
From playlist Factor Quadratic Expressions
Applying the difference of two squares with fractions, (1/4)x^2 - (1/4)
👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe
From playlist Factor Quadratics With Fractions | 5 Examples Compilation
Andrew Wiles: Fermat's Last theorem: abelian and non-abelian approaches
The successful approach to solving Fermat's problem reflects a move in number theory from abelian to non-abelian arithmetic. This lecture was held by Abel Laurate Sir Andrew Wiles at The University of Oslo, May 25, 2016 and was part of the Abel Prize Lectures in connection with the Abel P
From playlist Sir Andrew J. Wiles
Solving a quadratic equation using the long factoring technique
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors of the quadratic equation. There are other methods
From playlist Solve Quadratic Equations by Factoring | ax^2+bx+c
Heptadecagon and Fermat Primes (the math bit) - Numberphile
Main (previous) video: http://youtu.be/87uo2TPrsl8 David Eisenbud from MSRI on the math behind the 17-gon and other constructible polygons. NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com
From playlist David Eisenbud on Numberphile
Roger Heath-Brown: a Life in Mathematics
Roger Heath-Brown is one of Oxford's foremost mathematicians. His work in analytic number theory has been critical to the advances in the subject over the past thirty years and garnered Roger many prizes. As he approached retirement, Roger gave this interview to Ben Green, Waynflete Profe
From playlist Interviews with Oxford Mathematicians
Solving a quadratic by factoring using box method a is larger than one
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors of the quadratic equation. There are other methods
From playlist Solve Quadratic Equations by Factoring | ax^2+bx+c
Andrew Wiles - The Abel Prize interview 2016
0:35 The history behind Wiles’ proof of Fermat’s last theorem 1:08 An historical account of Fermat’s last theorem by Dundas 2:40 Wiles takes us through the first attempts to solve the theorem 5:33 Kummer’s new number systems 8:30 Lamé, Kummer and Fermat’s theorem 9:10 Wiles tried to so
From playlist Sir Andrew J. Wiles
Factoring a quadratic by diamond method
👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe
From playlist Factor Quadratic Expressions | Difference of Two Squares
Euler's and Fermat's last theorems, the Simpsons and CDC6600
NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) This video is about Fermat's last theorem and Euler's conjecture, a vast but not very well-known genera
From playlist Recent videos
Factoring a binomial using distributive property
👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe
From playlist Factor Quadratic Expressions | Difference of Two Squares
BIG Exponents - Modular Exponentiation, Fermat's, Euler's
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 Exam
From playlist Cryptography and Coding Theory