Arithmetic functions | Sequences and series | Integer sequences

Divisibility sequence

In mathematics, a divisibility sequence is an integer sequence indexed by positive integers n such that for all m, n. That is, whenever one index is a multiple of another one, then the corresponding term also is a multiple of the other term. The concept can be generalized to sequences with values in any ring where the concept of divisibility is defined. A strong divisibility sequence is an integer sequence such that for all positive integers m, n, Every strong divisibility sequence is a divisibility sequence: if and only if . Therefore by the strong divisibility property, and therefore . (Wikipedia).

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Number Theory | Divisibility Basics

We present some basics of divisibility from elementary number theory.

From playlist Divisibility and the Euclidean Algorithm

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Divisibility Rule for 3

#shorts This video reviews the divisibility rule for 3.

From playlist Math Shorts

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Ex 1: Apply Divisibility Rules to a 4 Digit Number

This video explains how to apply the divisibility rules for 2, 3, 4, 5, 6, 8, 9, and 10. http://mathispower4u.com

From playlist Factors, Prime Factors, and Least Common Factors

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Divisibility Rules

This video covers the divisibility rules for 2,3,4,5,6,8,9,and 10. http://mathispower4u.yolasite.com/

From playlist Factors, Prime Factors, and Least Common Factors

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Ex 2: Apply Divisibility Rules to a 4 Digit Number

This video explains how to apply the divisibility rules for 2, 3, 4, 5, 6, 8, 9, and 10. http://mathispower4u.com

From playlist Factors, Prime Factors, and Least Common Factors

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Introduction to Number Theory, Part 1: Divisibility

The first video in a series about elementary number theory, following the book by Underwood Dudley. We define the basic concept of divisibility, and prove a fundamental lemma. Intro:(0:00) Definition of Divisibility:(6:40) Our First Theorem:(9:00)

From playlist Introduction to Number Theory

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Divisibility Rules – 2, 3, 4, 5, 6, 7, 8, 9, 10

Divisibility Rules tell if a number is devisable by 2, 3, 4, 5, 6, 7, 8, 9 and 10. This video will explain these common divisibility rules and why you need to know them. Need help in math- check out my math courses below: TabletClass Math Academy https://tabletclass-academy.teachable.co

From playlist GED Prep Videos

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Norm Form Equations and Linear Divisibility Sequences (CTNT 2020)

Contact Information: Elisa Bellah ebellah@uoregon.edu pages.uoregon.edu/ebellah Abstract: Finding integer solutions to norm form equations is a classic Diophantine problem. Using the units of the associated coefficient ring, we can produce sequences of solutions to these equations. It tur

From playlist CTNT 2020 - Conference Videos

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311Stange

Katherine Stange: A visual tour of Fibonacci numbers and their eccentric cousins, elliptic divisibility sequences: 19th International Fibonacci Conference.

From playlist My Math Talks

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DIVISIBILITY - DISCRETE MATHEMATICS

We start number theory by introducing the concept of divisibility and do some simple proofs. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0c

From playlist Discrete Math 1

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The Embedding Problem of Infinitely Divisible Probability Measures on Groups by Riddhi Shah

PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis

From playlist Ergodic Theory and Dynamical Systems 2022

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Australian Math Olympiad 2018 Problem 5 | An Australian Sequence Problem

Today we solve problem 5 from the 2018 Australian Mathematical Olympiad. This problem asks us to consider a recursively defined sequence, and to prove that its 2018th term is divisible by 2018^2. We'll prove a more general fact, that the nth term of the sequence is divisible by n^2 so long

From playlist Coffee Time Math with Wrath of Math

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Charles Weibel: K-theory of algebraic varieties (Lecture 4)

The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Lecture 4 will survey computations for regular rings and smooth varieties. This includes motivic-to-K-theory methods, étale cohomology and regulators.

From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"

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5592405

This video was made for #MegaFavNumbers The sequence that is generated by cycles of bits and somehow related to prime numbers and multiplicative order of 2 mod 2n+1 Sequence: 3, 6, 15, 12, 255, 30, 63, 24, 315, 510, 33825, 60, 159783, 126, 255, 48, 65535, 630, 14942265, 1020, 4095, 67650

From playlist MegaFavNumbers

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Landau-Ginzburg - Seminar 15 - Rohan Hitchcock on his MSc thesis

This seminar series is about the bicategory of Landau-Ginzburg models LG, hypersurface singularities and matrix factorisations. In this seminar Rohan Hitchcock presents his MSc thesis submitted at the University of Melbourne, on the topic of "Differentiation, division and the bicategory of

From playlist Metauni

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Molecular Archaeology: Using Genomes to Reconstruct Two Billion Years by Mukund Thattai

ICTS at Ten ORGANIZERS: Rajesh Gopakumar and Spenta R. Wadia DATE: 04 January 2018 to 06 January 2018 VENUE: International Centre for Theoretical Sciences, Bengaluru This is the tenth year of ICTS-TIFR since it came into existence on 2nd August 2007. ICTS has now grown to have more tha

From playlist ICTS at Ten

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Lesson 14 Module 2

Math 7: Module 2 Lesson 14 on Converting Rational Numbers to Decimals Using Long Division

From playlist Eureka Math Grade 7 Module 2

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Induction Divisibility

This math video tutorial provides a basic introduction into induction divisibility proofs. It explains how to use mathematical induction to prove if an algebraic expression is divisible by an integer. My Website: https://www.video-tutor.net Patreon Donations: https://www.patreon.com/Ma

From playlist New Precalculus Video Playlist

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Integer sequence | Mersenne number | Repunit | Elliptic divisibility sequence | Lucas sequence | Ring (mathematics) | Serge Lang