Unsolved problems in number theory | Classes of prime numbers
In number theory, a Wolstenholme prime is a special type of prime number satisfying a stronger version of Wolstenholme's theorem. Wolstenholme's theorem is a congruence relation satisfied by all prime numbers greater than 3. Wolstenholme primes are named after mathematician Joseph Wolstenholme, who first described this theorem in the 19th century. Interest in these primes first arose due to their connection with Fermat's Last Theorem. Wolstenholme primes are also related to other special classes of numbers, studied in the hope to be able to generalize a proof for the truth of the theorem to all positive integers greater than two. The only two known Wolstenholme primes are 16843 and 2124679 (sequence in the OEIS). There are no other Wolstenholme primes less than 109. (Wikipedia).
MegaFavNumbers - 35,785,968,397 and Two Primes! (#MEGAFAVNUMBERS)
This is my submission to the project #MEGAFAVNUMBERS . I'm going to talk about the Wolstenholme Primes.
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: The Largest Pierpont Prime
#MegaFavNumbers In this video, I talk about my favorite mega number. This is a number greater than 1000000 and I’m doing this as part of the MegaFavNumber project put on by many famous math YouTubers. My number specifically deals with the largest prime ever discovered relating to polygon
From playlist MegaFavNumbers
Fred Mills Meets Crossrail’s CEO
Andrew Wolstenholme OBE discusses his career journey to date, the responsibility of leading the UK’s Crossrail programme and the future of the construction industry. For more videos by The B1M subscribe now - http://ow.ly/GxW7y Read the full story on this video, including images and usef
From playlist Fred Mills - The B1M
Introduction to number theory lecture 21. Congruences modulo a prime.
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We study the solutions of a polynomial modulo a prime, and prove Wolstenholme's theorem. T
From playlist Introduction to number theory (Berkeley Math 115)
Is two the #antihero of the primes?
#math #antihero #manim #taylorswift #antiherochallenge #midnights @TaylorSwift
From playlist MathShorts
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
MegaFavNumbers :- Evenly Primest Prime 232,222,222,222,233,333,333,222,222,222,222,222,322,222,223
#MegaFavNumber
From playlist MegaFavNumbers
1,010,010,101,000,011 - #MegaFavNumbers
This is my submission to the #megafavnumbers project. My number is 1010010101000011, which is prime in bases 2, 3, 4, 5, 6 and 10. I've open-sourced my code: https://bitbucket.org/Bip901/multibase-primes Clarification: by "ignoring 1" I mean ignoring base 1, since this number cannot be fo
From playlist MegaFavNumbers
Introduction to prime numbers for GCSE 9-1 maths!
From playlist Prime Numbers, HCF and LCM - GCSE 9-1 Maths
Prime Factoring - GCSE Mathematics Revision (Foundation)
What are prime numbers? Learn how to find the prime factors of a number and write it as a product of prime factors. ❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️ https://www.youtube.com/channel/UCf89Gd0FuNUdWv8FlSS7lqQ/join
From playlist Number
In this video, I use the coordinate method or Chain Rule method to solve a PDE. It is based on defining clever coordinates and using the Chain Rule to turn the PDE into one that's much easier to solve. Enjoy! Check out my PDE Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmDo
From playlist Partial Differential Equations
We present a solution to question B1 from the 2011 William Lowell Putnam Mathematics Competition. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Putnam Exam Solutions: A1/B1
Calculus AB Homework 3.5 The Chain Rule
Download Packet: https://goo.gl/5At53F ================================= AP Calculus AB / IB Math SL Unit 3: Derivative Rules Lesson 5: The Chain Rule =================================
From playlist AP Calculus AB
Category Theory 1.7: Horizontal Composition and 2-Categories
In this video, I introduce the horizontal composition of natural transformations, the interchange rule, and the basics of 2-Categories/Bicategories. Translate This Video : Notes : None yet Patreon : https://www.patreon.com/user?u=16481182 Teespring : https://teespring.com/stores/fematika
From playlist Category Theory
Closing the Gap: the quest to understand prime numbers - Vicky Neale
Oxford Mathematics Public Lectures: Vicky Neale - Closing the Gap: the quest to understand prime numbers Prime numbers have intrigued, inspired and infuriated mathematicians for millennia and yet mathematicians' difficulty with answering simple questions about them reveals their depth and
From playlist A Vicky Neale Playlist
Distance squared on disk and square
In this video, I answer the following neat question: If you have two points on a circle, then what is on average the distance between them? This problem can be surprisingly (or not) solved using multivariable calculus by converting it into a quadruple (!) integral! Then, I solve the same p
From playlist Double and Triple Integrals
The Prime Number Theorem, an introduction ← Number Theory
An introduction to the meaning and history of the prime number theorem - a fundamental result from analytic number theory. Narrated by Cissy Jones Artwork by Kim Parkhurst, Katrina de Dios and Olga Reukova Written & Produced by Michael Harrison & Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways t
From playlist Number Theory
An Exact Formula for the Primes: Willans' Formula
Formulas for the nth prime number actually exist! One was cleverly engineered in 1964 by C. P. Willans. But is it useful? ---------------- References: Herbert Wilf, What is an answer?, The American Mathematical Monthly 89 (1982) 289–292. https://doi.org/10.1080/00029890.1982.11995435 C
From playlist Cool stuff about primes