Large integers | Prime numbers
The table below lists the largest currently known prime numbers and probable primes (PRPs) as tracked by the University of Tennessee's PrimePages and Henri & Renaud Lifchitz' PRP Records. Numbers with more than 2,000,000 digits are shown. (Wikipedia).
#MegaFavNumbers The biggest known prime
From playlist MegaFavNumbers
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
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
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
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
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
CTNT 2018 - "The Biggest Known Prime Number" by Keith Conrad
This is lecture on "The Biggest Known Prime Number", by Keith Conrad, during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2018 - Guest Lectures
Why Do We Need a 23 Million Digit Prime Number?
Finding the biggest prime number might not only have applications in computing, it could also win you some serious money. Here’s how. The ‘Ham Sandwich Theorem’ Will Change How You See the Universe… Seriously - https://youtu.be/uhNqEs7vDGg Read More: How a FedEx employee discovered th
From playlist Elements | Seeker
Very Large Primes and (Almost) Perfect Numbers -- MegaFavNumbers
This is my video submission for the #MegaFavNumbers celebration. As promised in the video, here is the very large number that was simply too big for the screen: 5282945208034002678497845769960721106385426547566030332928651387255812371024044147692699871010305634389030253300042369944654409
From playlist MegaFavNumbers
My Mega Favorite Number has 39,540 digits. (MegaFavNumbers)
My contribution to MegaFavNumbers. 20 years ago, I found a 39,540 digit prime number using 3 known primes from the list of the (then) 5,000 largest proven primes as seed numbers. At the time, it became the 236th largest proven prime number. It has since been blown into obscurity on the l
From playlist MegaFavNumbers
[Discrete Mathematics] Primes and GCD
We talk about prime numbers and the greatest common denominator of two numbers. We do a proof that shows that the set of primes is infinite. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.co
From playlist Discrete Math 1
Emmanuel Kowalski: The Art of Sieving [2008]
Slides for this lecture: https://drive.google.com/file/d/1TdV_WiXUWNYJH0Q2J6d4mSzByk3QpjAp/view?usp=sharing Emmanuel Kowalski ETH Zurich The Art of Sieving Date: 2008/10/08 http://www.podcast.ethz.ch/episodes/?id=1027
From playlist Number 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
The Riemann Hypothesis: How to make $1 Million Without Getting Out of Bed
Mathematics is patterns and logic, imagination and rigor. It is a way of seeing and a way of thinking. Math Mornings is a series of public lectures aimed at bringing the joy and variety of mathematics to students and their families. Speakers from Yale and elsewhere will talk about aspects
From playlist Math Mornings at Yale
Primes, Complexity and Computation: How Big Number theory resolves the Goldbach Conjecture
This lecture, which begins at 2:45, shows how Big Number theory, together with an understanding of prime numbers and their distribution resolves the Goldbach Conjecture, which states that every even number greater than two is the sum of two primes. Notions of complexity and computation,
From playlist MathSeminars
A solution to Weaver's KS2KS2 - Adam Marcus
A solution to Weaver's KS2KS2Primary tabs Adam Marcus Yale University December 2, 2013 We will outline the proof that gives a positive solution of to Weaver's conjecture KS2KS2. That is, we will show that any isotropic collection of vectors whose outer products sum to twice the identity ca
From playlist Mathematics
Primes and Primitive Sets (an Erdős Conjecture is cracked) - Numberphile
Extra footage at https://youtu.be/-r2agPNx0gA - Featuring Jared Duker Lichtman. More links & stuff in full description below ↓↓↓ A proof of the Erdős primitive set conjecture: https://arxiv.org/abs/2202.02384 More Prime Number videos: https://bit.ly/PrimePlaylist Jared Duker Lichtman:
From playlist Prime Numbers on Numberphile