In number theory, a cluster prime is a prime number p such that every even positive integer k ≤ p − 3 can be written as the difference between two prime numbers not exceeding p. For example, the number 23 is a cluster prime because 23 − 3 = 20, and every even integer from 2 to 20, inclusive, is the difference of at least one pair of prime numbers not exceeding 23: * 5 − 3 = 2 * 7 − 3 = 4 * 11 − 5 = 6 * 11 − 3 = 8 * 13 − 3 = 10 * 17 − 5 = 12 * 17 − 3 = 14 * 19 − 3 = 16 * 23 − 5 = 18 * 23 − 3 = 20 On the other hand, 149 is not a cluster prime because 140 < 146, and there is no way to write 140 as the difference of two primes that are less than or equal to 149. By convention, 2 is not considered to be a cluster prime. The first 23 odd primes (up to 89) are all cluster primes. The first few odd primes that are not cluster primes are 97, 127, 149, 191, 211, 223, 227, 229, ... OEIS: It is not known if there are infinitely many cluster primes. Unsolved problem in mathematics: Are there infinitely many cluster primes? (more unsolved problems in mathematics) (Wikipedia).
MegaFavNumbers :- Evenly Primest Prime 232,222,222,222,233,333,333,222,222,222,222,222,322,222,223
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From playlist MegaFavNumbers
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
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
Introduction to prime numbers for GCSE 9-1 maths!
From playlist Prime Numbers, HCF and LCM - GCSE 9-1 Maths
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
Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https
From playlist Geometry
WebAssembly: The What, Why and How
WebAssembly is a portable, size, and load-time efficient binary format for the web. It is an emerging standard being developed in the WebAssembly community group, and supported by multiple browser vendors. This talk details what WebAssembly is, the problems it is trying to solve, exciting
From playlist Talks
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
In this video, we explore the "pattern" to prime numbers. I go over the Euler product formula, the prime number theorem and the connection between the Riemann zeta function and primes. Here's a video on a similar topic by Numberphile if you're interested: https://youtu.be/uvMGZb0Suyc The
From playlist Other Math Videos
A Surprising Way to Generate Primes
There is a Fibonacci-like recurrence that generates primes! It was discovered in 2003, but no one actually understood why it was generating primes. A few years later, I plotted the primes in a way that reveals some hidden structure. This is a tale of logarithmic scale. ---------------- R
From playlist Cool stuff about primes
Representations of (acyclic) quivers, Auslander-Reiten sequences... (Lecture 4) by Laurent Demonet
PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra
From playlist School on Cluster Algebras 2018
From playlist Plenary talks One World Symposium 2020
Get the Code Here: http://goo.gl/0GKD8 Welcome to the 2nd part of my Java Hash Tables tutorial. If you missed part 1, definitely watch it first. In this tutorial, I will cover all of the following and more: 1. Why We Use Prime sized hash tables 2. How to Increase Hash Table Size 3. Ho
From playlist Java Algorithms
Representations of (acyclic) quivers, Auslander-Reiten... (Lecture 1) by Laurent Demonet
PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra
From playlist School on Cluster Algebras 2018
Cluster characters, generic bases for cluster algebras (Lecture 4) by Pierre-Guy Plamondon
PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra
From playlist School on Cluster Algebras 2018
From cluster categories to scattering diagrams (Lecture 4) by Bernhard Keller
PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra
From playlist School on Cluster Algebras 2018
Alexander Goncharov - 3/4 Quantum Geometry of Moduli Spaces of Local Systems...
Quantum Geometry of Moduli Spaces of Local Systems and Representation Theory Lectures 1-3 are mostly based on our recent work with Linhui Shen. Given a surface S with punctures and special points on the boundary considered modulo isotopy, and a split semi-simple adjoint group G, we defin
From playlist Alexander Goncharov - Quantum Geometry of Moduli Spaces of Local Systems and Representation Theory
Céline Maistret: Computing Euler factors of curves
CONFERENCE Recording during the thematic meeting : « Symposium on Arithmetic Geometry and its Applications» the February 06, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathemat
From playlist Women at CIRM
Claire Amiot: Cluster algebras and categorification - Part 3
Abstract: In this course I will first introduce cluster algebras associated with a triangulated surface. I will then focus on representation of quivers, and show the strong link between cluster combinatorics and representation theory. The aim will be to explain additive categorification of
From playlist Combinatorics