Integer factorization algorithms
The quadratic sieve algorithm (QS) is an integer factorization algorithm and, in practice, the second fastest method known (after the general number field sieve). It is still the fastest for integers under 100 decimal digits or so, and is considerably simpler than the number field sieve. It is a general-purpose factorization algorithm, meaning that its running time depends solely on the size of the integer to be factored, and not on special structure or properties. It was invented by Carl Pomerance in 1981 as an improvement to Schroeppel's linear sieve. (Wikipedia).
Factor using the quadratic formula finding real irrational roots
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by
From playlist Solve by Quadratic Formula | ax^2+bx+c
Understanding the discriminant as a part of the quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by
From playlist Solve by Quadratic Formula | x^2+bx+c
How to determine the domain and range of a quadratic using its vertex
👉 Learn the basics to understanding graphing quadratics. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a quadratic is a parabola which has an axis of symmetr
From playlist Graph a Quadratic in Standard Form | Essentials
John Friedlander - Selberg and the sieve: a positive approach [2008]
The Mathematical Interests of Peter Borwein: "Selberg and the sieve: a positive approach" Date: Friday, May 16, 2008 Time: 09:00 - 10:15 Location: Rm10900 John Friedlander (University of Toronto) Abstract: We survey the contributions of Atle Selberg to Sieve Methods. The talk is intende
From playlist Number Theory
How to solve a quadratic using the quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by
From playlist Solve by Quadratic Formula | ax^2+bx+c
Joint IAS/Princeton University Number Theory Seminar - James Maynard
James Maynard Université de Montréal March 6, 2014 For more videos, visit http://video.ias.edu
From playlist Mathematics
Large sieve inequalities for families of L-functions
50 Years of Number Theory and Random Matrix Theory Conference Topic: Large sieve inequalities for families of L-functions Speaker: Matt Young Affiliation: Texas A&M University Date: June 21, 2022 Large sieve inequalities are useful and flexible tools for understanding families of L-funct
From playlist Mathematics
How to apply the quadratic formula to find one solution
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by
From playlist Solve by Quadratic Formula | ax^2+bx+c
The Selberg Sieve and Large Sieve (Lecture 4) by Satadal Ganguly
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
An asymptotic version of the prime power conjecture for perfect difference sets - Sarah Peluse
Joint IAS/Princeton University Number Theory Seminar Topic: An asymptotic version of the prime power conjecture for perfect difference sets Speaker: Sarah Peluse Affiliation: Institute for Advanced Study and Princeton University; Veblen Research Instructor, School of Mathematics Date: Se
From playlist Mathematics
Is the Sieve of Eratosthenese past its prime?
The Sieve of Eratosthenes is an amazing tool for teaching people about prime numbers and composite numbers but it's not without its limitations. I've tried to answer the question, 'Is there a better way of representing a sieve like this?' 0:00 Sieve of Eratosthenes In the first part of t
From playlist Summer of Math Exposition Youtube Videos
Solving using the quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by
From playlist Solve by Quadratic Formula With Missing Terms
Archimedean Theory - Alex Kontorovich
Speaker: Alex Kontorovich (Rutgers/IAS) Title: Archimedean Theorem More videos on http://video.ias.edu
From playlist Mathematics
Solving a quadratic by applying the quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by
From playlist Solve by Quadratic Formula | x^2+bx+c
Solving a quadratic by applying the quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by
From playlist Solve by Quadratic Formula | x^2+bx+c
Solving a quadratic by applying the quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by
From playlist Solve by Quadratic Formula | x^2+bx+c
Quadratic Sieve - Factoring REALLY fast
This video was a project of multiple months, so hopefully it is at least a bit interesting. Below are some useful links for more information. The one good article: https://risencrypto.github.io/QuadraticSieve/ Calculating a Kernel of a matrix: https://www.youtube.com/watch?v=ZvAkIf7oBHw&a
From playlist Summer of Math Exposition 2 videos
The Large Sieve (Lecture 2) by Satadal Ganguly
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
Solve a quadratic equation using the quadratic formula when their are imaginary solutions
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by
From playlist Solve by Quadratic Formula | ax^2+bx+c
Terence Tao - 1/3 Bounded gaps between primes Download
Terence Tao - Bounded gaps between primes
From playlist École d'été 2014 - Théorie analytique des nombres