Palindromes | Base-dependent integer sequences | Unsolved problems in mathematics | Classes of prime numbers
In mathematics, a palindromic prime (sometimes called a palprime) is a prime number that is also a palindromic number. Palindromicity depends on the base of the number system and its notational conventions, while primality is independent of such concerns. The first few decimal palindromic primes are: 2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929, … (sequence in the OEIS) Except for 11, all palindromic primes have an odd number of digits, because the divisibility test for 11 tells us that every palindromic number with an even number of digits is a multiple of 11. It is not known if there are infinitely many palindromic primes in base 10. The largest known as of October 2021 is 101888529 - 10944264 - 1. which has 1,888,529 digits, and was found on 18 October 2021 by Ryan Propper and Serge Batalov. On the other hand, it is known that, for any base, almost all palindromic numbers are composite, i.e. the ratio between palindromic composites and all palindromes below n tends to 1. (Wikipedia).
The Palindrome Numbers 111...121...111 Are Always Composite: 2022 AMC10B Problem 6
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From playlist Elementary Number Theory
A Beautiful Algorithm for the Primes
What's the fastest algorithm for generating the prime sequence? Watch a frat bro hunch over a notebook and find out! . . . Walkthrough (pause, then use “,” and “.” keys to step): https://www.youtube.com/watch?v=GxgGMwLfTjE&t=4s Computing the primes up to 40,000 (also pause and use "," and
From playlist Summer of Math Exposition 2 videos
Prime Numbers and their Mysterious Distribution (Prime Number Theorem)
Primes are the building blocks of math. But just how mysterious are they? Our study of prime numbers dates back to the ancient Greeks who first recognized that certain numbers can't be turned into rectangles, or that they can't be factored into any way. Over the years prime numbers have
From playlist Prime Numbers
From playlist Cryptography
My #MegaFavNumbers - 9,699,690, primorial and prime
Something needs to clarify: 3:32 does not include 9,699,667(19#-23) and 9,699,713(19#+23) Also, Let me promote my game here: https://rmf2077.itch.io/why-is-6-afraid-of-7-9-s-revenge (Need a keyboard to play) This game is an action game about numbers! #MegaFavNumbers
From playlist MegaFavNumbers
Introduction to prime numbers for GCSE 9-1 maths!
From playlist Prime Numbers, HCF and LCM - GCSE 9-1 Maths
What is Prime Factorisation? | Don't Memorise
✅To learn more about Factorisation, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=7n5Qak9hnEU&utm_term=%7Bkeyword%7D In this video, we will learn: 0:00 Introduction 0:14 what are the factors? 0:57 w
From playlist Playing with Numbers
#MegaFavNumbers A small discussion regarding a famous "proof" that all numbers are interesting. This video is my participation in the #MegaFavNumbers project.
From playlist MegaFavNumbers
Happy Palindrome Day (and other fun days)
Happy Palindrome Day! In this video, I explain why today (02/02/2020) is such a special day, and I also discuss some other interesting dates, like the Fibonacci Day or the See it and Say it Day. Enjoy! Subscribe to my channel: https://www.youtube.com/c/drpeyam Note: The article I was me
From playlist Random fun
MegaFavNumbers - 73,496,969,437, palindromic primes, programming squares
Some properties of the number 73,496,969,437. Links and details below: Comment thread from James Grime's video (amicable numbers conjecture): https://www.youtube.com/watch?v=R2eQVqdUQLI Matt Parker's tangent video (biggest tangent of a prime): https://www.youtube.com/watch?v=A7eJb8n8zAw
From playlist MegaFavNumbers
Squarespace (10% off): http://squarespace.com/numberphile Matt Parker on 383 and Woodall Primes. More links below. PrimeGrid: http://www.primegrid.com Centenary of Woodall Primes T-Shirt, Hoodie, and Mug: US customers - https://teespring.com/woodall-primes-US EU customers - https://teesp
From playlist Matt Parker (standupmaths) on Numberphile
MegaFavNumbers - Belphegor's Prime
my #MegaFavNumbers Belphegor's Prime! Numberphile's The Most Evil Number: https://www.youtube.com/watch?v=zk_Q9y_LNzg I also just wanted to add that I was planning to film this today, so one of the eye-shadow colors I used is called 'Demonic'. Had to stay in theme, you know?
From playlist MegaFavNumbers
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
Lecture 7 - Suffix Arrays and Assembly
This is Lecture 7 of the CSE549 (Computational Biology) course taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 2010. The lecture slides are available at: http://www.algorithm.cs.sunysb.edu/computationalbiology/pdf/lecture7.pdf More infor
From playlist CSE549 - Computational Biology - 2010 SBU
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
Theory of Computation 3. The Pumping Lemma ADUni
From playlist [Shai Simonson]Theory of Computation
This video is part of the MegaFavNumbers project. Maths YouTubers have come together to make videos about their favourite numbers bigger than one million, which we are calling #MegaFavNumbers. This is my contribution to the project. It is about the number 1030301, which has some amazing
From playlist MegaFavNumbers
MATHCOUNTS 2022 State Live Solve 1
Again, we're thrilled to officially collaborate with MATHCOUNTS, and it's time to live solve the 2022 State Competition. We'll use a new technique we've pioneered to help students learn to love challenging math. To get an idea of what this will look like, and to join the Zoom chat (we'll b
From playlist MATHCOUNTS
Prime Factors | Number | Maths | FuseSchool
Prime Factors | Number | Maths | FuseSchool Every single positive number can be broken down into prime factors. Every single positive number has a unique set of prime factors. It’s the fundamental theorem of arithmetic. Prime factors are used in cryptology to keep data safe. In this video
From playlist MATHS: Numbers
Lecture 5.1: Building with DNA — Restriction Digests
Getting up to Speed in Biology, Summer 2020 Instructor: Prof. Hazel Sive View the complete course: https://openlearninglibrary.mit.edu/pre-biology YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP629Egng0HfgRJfXBNTPw1le This video introduces the topic Building with DNA a
From playlist MIT OLL: Getting up to Speed in Biology, Summer 2020