The Frobenius Problem - Method for Finding the Frobenius Number of Two Numbers
Goes over how to find the Frobenius Number of two Numbers.
From playlist ℕumber Theory
Theory of numbers: Gauss's lemma
This lecture is part of an online undergraduate course on the theory of numbers. We describe Gauss's lemma which gives a useful criterion for whether a number n is a quadratic residue of a prime p. We work it out explicitly for n = -1, 2 and 3, and as an application prove some cases of Di
From playlist Theory of numbers
Lehmer Factor Stencils: A paper factoring machine before computers
In 1929, Derrick N. Lehmer published a set of paper stencils used to factor large numbers by hand before the advent of computers. We explain the math behind the stencils, which includes modular arithmetic, quadratic residues, and continued fractions, including my favourite mathematical vi
From playlist Joy of Mathematics
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 4 Linear Algebra: Inner Products
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
This lecture is part of an online course on rings and modules. We continue the previous lecture on complete rings by discussing Hensel's lemma for finding roots of polynomials over p-adic rings or over power series rings. We sketch two proofs, by slowly improving a root one digit at a tim
From playlist Rings and modules
How they found the World's Biggest Prime Number - Numberphile
Featuring Matt Parker... More links & stuff in full description below ↓↓↓ See part one at: https://youtu.be/tlpYjrbujG0 Part three on Numberphile2: https://youtu.be/jNXAMBvYe-Y Matt's interview with Curtis Cooper: https://youtu.be/q5ozBnrd5Zc The previous record: https://youtu.be/QSEKzFG
From playlist Matt Parker (standupmaths) on Numberphile
Factor Stencils Review / HowTo
Factor stencils based on a design from the 1920s by D. N. Lehmer. His will factor any number up to 3,000,000,000,000. Mine are smaller, so only factor up to 200,000. This is episode 37 of my video series about calculating devices. Visit my site for PDFs and SVGs to download and make your
From playlist Calculating Devices Review / HowTos
Linear Algebra 11q: Algorithm for Calculating the Inverse Matrix
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
Linear Algebra 18e: The Eigenvalue Decomposition and Fibonacci Numbers
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 3 Linear Algebra: Linear Transformations
We present a proof of Gauss' Lemma. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Number Theory
Linear Algebra 2q: Summary of Terms Encountered so Far
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
Proof of Lemma and Lagrange's Theorem
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div
From playlist Abstract Algebra
Eriko Hironaka - Lehmer's Problem and Dilatations of Mapping Classes
Eriko Hironaka talks at the Worldwide Center of Mathematics "Lehmer's Problem and Dilatations of Mapping Classes"
From playlist Center of Math Research: the Worldwide Lecture Seminar Series
Why is Pi, too: The wrong, amazing proof #SoME2
After making another video which became too long, I made this short one as my submission for #some2 Here is the link to the 1900 paper of Lehmer https://www.jstor.org/stable/i340649 Proof of the lemma I mentioned: 1) https://books.google.nl/books/about/An_Introduction_to_the_Theory_of_
From playlist Summer of Math Exposition 2 videos
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
Patrick Ingram, The critical height of an endomorphism of projective space
VaNTAGe seminar on June 9, 2020. License: CC-BY-NC-SA. Closed captions provided by Matt Olechnowicz
From playlist Arithmetic dynamics
New World's Biggest Prime Number (PRINTED FULLY ON PAPER) - Numberphile
Matt Parker on the latest Mersenne Prime to take the title of "world's biggest prime". He had it printed! More links & stuff in full description below ↓↓↓ More from this interview very soon, including details of how the prime was found. PART TWO: https://youtu.be/lEvXcTYqtKU PART THREE o
From playlist Matt Parker (standupmaths) on Numberphile
Fourier Series: Preliminary Remarks
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Partial Differential Equations