A Proth number is a natural number N of the form where k and n are positive integers, k is odd and . A Proth prime is a Proth number that is prime. They are named after the French mathematician François Proth. The first few Proth primes are 3, 5, 13, 17, 41, 97, 113, 193, 241, 257, 353, 449, 577, 641, 673, 769, 929, 1153, 1217, 1409, 1601, 2113, 2689, 2753, 3137, 3329, 3457, 4481, 4993, 6529, 7297, 7681, 7937, 9473, 9601, 9857 (OEIS: ). It is still an open question whether an infinite number of Proth primes exist. It was shown in 2022 that the reciprocal sum of Proth primes converges to a real number near 0.747392479, substantially less than the value of 1.093322456 for the reciprocal sum of Proth numbers. The primality of Proth numbers can be tested more easily than many other numbers of similar magnitude. (Wikipedia).
From playlist everything
An easy intro to prime numbers and composite numbers that MAKES SENSE. What are prime numbers? A prime number is a number that has exactly 2 factors: two and itself. What are composite numbers? A composite number is one which has two or more factors. What is the difference between a p
From playlist Indicies (Exponents) and Primes
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
Navigating The Maker vs Manager Tradeoff (Jared Dean) - KNN Ep. 107
Jared Dean is a Principal Data Scientist at SAS and an Adjunct Professor at Duke University. Jared is the mastermind behind the batting lab at SAS which was the topic of one of my most recent videos. In this conversation, we learn about common misconceptions about statistics, why he left a
From playlist Ken's Nearest Neighbors Podcast
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
Is two the #antihero of the primes?
#math #antihero #manim #taylorswift #antiherochallenge #midnights @TaylorSwift
From playlist MathShorts
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
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
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
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
The Biggest Known Prime Number - Keith Conrad [2018]
Slides for this talk: https://ctnt-summer.math.uconn.edu/wp-content/uploads/sites/1632/2018/05/mersennetalkCTNT.pdf May 29: Keith Conrad (UConn) Title: The Biggest Known Prime Number. Abstract: There are infinitely many primes, but at any moment there is a biggest known prime. Earlier t
From playlist Number Theory
My #MegaFavNumbers is 2^82589933-1 // The largest Mersenne prime…..yet
This video is part of the #MegaFavNumbers series where a tonne of math youtubers like @numberphile @standupmaths and @3blue1brown share their favourite MEGA numbers, i.e. numbers over a million. Check out the full playlist here: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPs
From playlist MegaFavNumbers
The Music of the Primes - Marcus du Sautoy
The Music of the Primes Marcus du Sautoy, Oxford University Thursday, May 8, 2008, at 6:00 pm MIT, Compton Laboratories Building 26, Room 26-100 Access via 60 Vassar Street Marcus du Sautoy, author of the The Music of the Primes, will discuss the mystery of prime numbers, the hi
From playlist Science