Integer sequences | Recurrence relations
In mathematics, the Jacobsthal numbers are an integer sequence named after the German mathematician Ernst Jacobsthal. Like the related Fibonacci numbers, they are a specific type of Lucas sequence for which P = 1, and Q = −2—and are defined by a similar recurrence relation: in simple terms, the sequence starts with 0 and 1, then each following number is found by adding the number before it to twice the number before that. The first Jacobsthal numbers are: 0, 1, 1, 3, 5, 11, 21, 43, 85, 171, 341, 683, 1365, 2731, 5461, 10923, 21845, 43691, 87381, 174763, 349525, … (sequence in the OEIS) A Jacobsthal prime is a Jacobsthal number that is also prime. The first Jacobsthal primes are: 3, 5, 11, 43, 683, 2731, 43691, 174763, 2796203, 715827883, 2932031007403, 768614336404564651, 201487636602438195784363, 845100400152152934331135470251, 56713727820156410577229101238628035243, … (sequence in the OEIS) (Wikipedia).
Andrzej Schinzel: The Congruence f ( x ) + g ( y ) + c = 0 (mod xy )
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Number Theory
Solving Two Term Linear Homogenous Recurrences [Discrete Math Class]
This video is not like my normal uploads. This is a supplemental video from one of my courses that I made in case students had to quarantine. In this video, we discuss how to find the closed form for sequences that satisfy a two term linear recurrence (like the Fibonacci numbers) using the
From playlist Discrete Mathematics Course
What is an Armstrong Number? #Shorts #YouTubeShorts
What is an Armstrong Number? Watch this video to know more... ✅Download the Infinity Learn APP Now➡️ https://vsbpz.app.link/dmil ➡️Don’t Memorise brings learning to life through its captivating educational videos. To Know More, visit https://infinitylearn.com/ ➡️New videos every week. T
From playlist Shorts
My #MegaFavNumber - The Bremner-Macleod Numbers
Much better video here: https://youtu.be/Ct3lCfgJV_A
From playlist MegaFavNumbers
Awesome Prime Number Constant (Mills' Constant) - Numberphile
Have you ever heard of Mills' Constant? Featuring James Grime. http://bit.ly/grimevideos More links & stuff in full description below ↓↓↓ Several people have pointed out the n=4 prime is 2521008887 (we missed an 8) More on prime numbers: http://bit.ly/primevids This video features Dr Ja
From playlist James Grime on Numberphile
Lectures in Abstract Algebra by Jacobson #shorts
Lectures in Abstract Algebra by Jacobson #shorts Full Review: https://youtu.be/s12TYiDgzpY This is the books on amazon:https://amzn.to/3mIFXoq and https://amzn.to/3mBpm5Y (note this are my affiliate links) Book Review #shorts: https://www.youtube.com/playlist?list=PLO1y6V1SXjjPqMhU21NyG
From playlist Book Reviews #shorts
How is i equal to square root of -1?
What is 'i'? More importantly, what is a complex number? How are complex numbers relevant to the context of other familiar numbers? Chapters: 00:00 Introduction 01:46 Logo of Reals and Rationals 02:11 Expanding real numbers 03:25 Motivation using whole (natural) numbers 06:08 Planar numb
From playlist Summer of Math Exposition 2 videos
Fun with Math: Surprises with Arithmetic and Numbers
Stephen Wolfram shows kids and adults some fun unique things you can do with math. All demonstrations powered by the Wolfram Language. Originally livestreamed at: https://twitch.tv/stephen_wolfram Follow us on our official social media channels: Twitter: https://twitter.com/WolframRese
From playlist Stephen Wolfram Livestreams
How to understand the REAL NUMBER LINE - COLLEGE ALGEBRA
In this video we talk about natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. We also show the real number line and the inequalities less than and greater than. 00:00 Intro 00:29 Number system 04:53 Visual representation of numbers 07:37 Rea
From playlist College Algebra
This video provides a basic introduction into real numbers. It explains how to distinguish them from imaginary numbers. It also discusses the difference between rational and irrational numbers as well as integers, natural numbers, and whole numbers. Examples include repeating and non-re
From playlist New Algebra Playlist
This chemistry video tutorial answers the question - what are isotopes? Isotopes are substances that are composed of the same element but consist of different mass numbers and number of neutrons. They share the same atomic number and therefore the same number of protons. This video cont
From playlist New AP & General Chemistry Video Playlist
Pascal's wager and real numbers
My entry for 3blue1brown's contest, talking about Pascal's wager and how it leads to interesting questions about (hyper)real numbers. A big shoutout to Grant for coming up with this wonderful idea. Link to Thierry Platinis channel for more on hyperreal numbers: https://www.youtube.com/cha
From playlist Summer of Math Exposition Youtube Videos
Year 13/A2 Pure Chapter 0.1 (Subsets of Real Numbers, Representatives and Proof)
Welcome to the first video for year 13 (A2) Pure Mathematics! This video is part of a series of three that I've called Chapter 0, and is meant as a foundation for Year 13. The primary reasons for doing this are that the difficulty of Year 13 is markedly harder than Year 12 content, and al
From playlist Year 13/A2 Pure Mathematics
My favorite proof of the n choose k formula!
The binomial coefficient shows up in a lot of places, so the formula for n choose k is very important. In this video we give a cool combinatorial explanation of that formula! Challenge Problems playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJGkzGsXMYQt8bi5ImYtiEMM Subscribe t
From playlist Challenge Problems