Proof of Fermat's Last Theorem for specific exponents

Fermat's Last Theorem for rational and irrational exponents

Fermat's Last Theorem states the equation x^n + y^n = z^n has no integer solutions for positive integer exponents greater than 2. However, Fermat's Last Theorem says nothing about exponents that are not positive integers. Note: x, y and z are meant to be positive integers, which I should

From playlist My Maths Videos

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 prove Fermat's Last Theorem in under 7 seconds

How to prove Fermat's Last Theorem in under 7 seconds

From playlist My Maths Videos

A special case of Fermat's Last Theorem, where n=3

In this video I go through a proof of the fact that the equation x^3+y^3=z^3 has no solutions for natural numbers x,y,z. Any equation of this form is commonly referred to as a "special case of Fermat's Last Theorem". What is Fermat's Last Theorem??: https://youtu.be/qiNcEguuFSA Euler's

From playlist Algebra - Beginner to Master

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

Number Theory | A very special case of Fermat's Last Theorem

We prove a very simple case of Fermat's Last Theorem. Interestingly, this case is fairly easy to prove which highlights the allure of the theorem as a whole -- especially given the fact that much of modern number theory was developed as part of the program that ended in the full proof. ht

From playlist Number Theory

Theory of numbers: Congruences: Euler's theorem

This lecture is part of an online undergraduate course on the theory of numbers. We prove Euler's theorem, a generalization of Fermat's theorem to non-prime moduli, by using Lagrange's theorem and group theory. As an application of Fermat's theorem we show there are infinitely many prim

From playlist Theory of numbers

Number Theory | Fermat's Little Theorem

We state and prove Fermat's Little Theorem. www.michael-penn.net

From playlist Number Theory

Scott Sherman - A Counterexample(?) to Fermat's Last Theorem - G4G13 Apr 2018

A tongue-in-cheek counterexample to Fermet's Last Theorem that involves a number so large that it makes Graham's number look puny.

From playlist G4G13 Videos

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

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

Inauguration de l'exposition - Séverin Philip : Sophie Germain et le théorème de Fermat

From playlist Les audaces de Sophie Germain

"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

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

Mandelbrot fractal zoom // featuring Euler bio

Mandelbrot fractal zoom // featuring Euler bio Come hang out and watch a fractal zoom through the Mandelbrot set. To celebrate Euler's contributions to mathematics, this video features a brief bio. of Leonhard Euler! ---------------------------------------------------------------------

From playlist Misc.

Fermat’s HUGE little theorem, pseudoprimes and Futurama

A LOT of people have heard about Andrew Wiles solving Fermat's last theorem after people trying in vain for over 350 years. Today's video is about Fermat's LITTLE theorem which is at least as pretty as its much more famous bigger brother, which has a super pretty accessible proof and which

From playlist Recent videos

Fermat's Last Theorem, by Ken Ribet

This talk by Ken Ribet (UC Berkeley) was part of UConn's Number Theory Day 2017.

From playlist Number Theory Day

SummerSchool 20060728 1600 Darmon - Fermat curves and Wiles' Theorem

From playlist Clay Mathematics Institute Summer School 2006 on "Arithmetic geometry"

Fermat's Last Theorem - The Theorem and Its Proof: An Exploration of Issues and Ideas [1993]

supplement to the video: http://www.msri.org/realvideo/ln/msri/1993/outreach/fermat/1/banner/01.html Date: July 28, 1993 (08:00 AM PDT - 09:00 AM PDT) Fermat's Last Theorem July 28, 1993, Robert Osserman, Lenore Blum, Karl Rubin, Ken Ribet, John Conway, and Lee Dembart. Musical interlude

From playlist Number Theory