Unsolved problems in number theory | Cyclotomic fields | Classes of prime numbers | Algebraic number theory

Regular prime

In number theory, a regular prime is a special kind of prime number, defined by Ernst Kummer in 1850 to prove certain cases of Fermat's Last Theorem. Regular primes may be defined via the divisibility of either class numbers or of Bernoulli numbers. The first few regular odd primes are: 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 43, 47, 53, 61, 71, 73, 79, 83, 89, 97, 107, 109, 113, 127, 137, 139, 151, 163, 167, 173, 179, 181, 191, 193, 197, 199, ... (sequence in the OEIS). (Wikipedia).

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MegaFavNumbers: Plus One Primes, 154,641,337, and 62,784,382,823

My entry in the #MegaFavNumbers series looks at a particularly striking example of a very specific family of primes -- and how it connects to what digits can be the final digit of primes in different bases.

From playlist MegaFavNumbers

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Prime Numbers

"Identify prime numbers."

From playlist Number: Factors, Multiples & Primes

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What Is A Prime Number?

Introduction to prime numbers for GCSE 9-1 maths!

From playlist Prime Numbers, HCF and LCM - GCSE 9-1 Maths

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Algebra - Ch. 6: Factoring (4 of 55) What is a Prime Number?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a prime number. A prime number is a positive integer that can only be written as a product of one and itself. Its factors are “1” and itself. To donate: http://www.ilectureonline.com/

From playlist ALGEBRA CH 6 FACTORING

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What is a prime number?

An easy intro to prime numbers and composite numbers that MAKES SENSE. What are prime numbers? A prime number is a number that has exactly 2 factors: two and itself. What are composite numbers? A composite number is one which has two or more factors. What is the difference between a p

From playlist Indicies (Exponents) and Primes

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Why Are There Infinitely Many Prime Numbers?

Here's why there are infinitely many prime numbers!

From playlist Summer of Math Exposition Youtube Videos

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Interesting Facts About the Last Digits of Prime Numbers

This video explains some interesting facts about the last digits of prime numbers.

From playlist Mathematics General Interest

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Review: Prime Numbers

via YouTube Capture

From playlist Computation with Integers

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Regularity lemma and its applications Part I - Fan Wei

Computer Science/Discrete Mathematics Seminar II Topic: Regularity lemma and its applications Part I Speaker: Fan Wei Affiliation: Member, School of Mathematics Dater: December 3, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

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Local-global compatibility at primes dividing l - David Geraghty

David Geraghty Princeton University/Member, School of Mathematics March 23, 2011 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Michael Rapoport: The arithmetic transfer conjecture for exotic formal moduli spaces

I will define some formal moduli spaces of p-divisible groups that can be used to formulate an extension of Wei Zhang's Arithmetic Fundamental Lemma conjecture beyond the unramified case. The lecture was held within the framework of the Junior Hausdorff Trimester Program Algebraic Geometr

From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"

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João Paulo Figueredo: Regular foliations on rationally connected manifolds

Recorded during the research school "Geometry and Dynamics of Foliations " the may 25, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Ma

From playlist Virtual Conference

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The Graph Removal Lemma - Jacob Fox

Jacob Fox Massachusetts Institute of Technology November 8, 2010 Let H be a fixed graph with h vertices. The graph removal lemma states that every graph on n vertices with o(nh) copies of H can be made H-free by removing o(n2) edges. We give a new proof which avoids Szemeredi's regularity

From playlist Mathematics

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Talk by Raphaël Beuzart-Plessis (Université d’Aix-Marseille,France)

On the spectral decomposition of the Jacquet-Rallis trace formula and the Gan-Gross-Prasad conjecture for unitary groups

From playlist Seminars: Representation Theory and Number Theory

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13. Sparse regularity and the Green-Tao theorem

MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX After discussion of Ramanujan graphs, Prof. Zhao discusse

From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019

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Applications - Richard Taylor

Richard Taylor Harvard University; Distinguished Visiting Professor, School of Mathematics March 17, 2011 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Combinatorial affine sieve - Alireza Salehi Golsefidy

Speaker: Alireza Salehi Golsefidy (UCSD) Title: Combinatorial affine sieve Abstract: In this talk the general setting of affine sieve will be presented. Next I will explain the Bourgain-Gamburd-Sarnak method on proving affine sieve in the presence of certain spectral gap. Finally I will sa

From playlist Mathematics

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My #MegaFavNumbers is 2^82589933-1 // The largest Mersenne prime…..yet

This video is part of the #MegaFavNumbers series where a tonne of math youtubers like @numberphile @standupmaths and @3blue1brown share their favourite MEGA numbers, i.e. numbers over a million. Check out the full playlist here: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPs

From playlist MegaFavNumbers

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Differential Equations | Definition of a regular singular point.

We give the definition of a regular singular point of a differential equation as well as some examples of differential equations with regular singular points. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Differential Equations

Related pages

If and only if | Ideal (ring theory) | Infinite set | Ring of integers | Conjecture | Fermat's Last Theorem | Bernoulli number | E (mathematical constant) | Cyclotomic field | Asymptotic analysis | Experimental Mathematics (journal) | Adrien-Marie Legendre | Niels Nielsen (mathematician) | Herbrand–Ribet theorem | Sophie Germain's theorem | Number theory | Natural density | Wolstenholme prime | Prime number | Harry Vandiver | Ernst Kummer | Modular arithmetic