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Exploring Number Theory | A blog on elementary number theory

A blog on elementary number theory (by Dan Ma)

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Exploring Number Theory | A blog on elementary number theory | exploringnumbertheory.wordpress.com Reviews
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Exploring Number Theory | A blog on elementary number theory | exploringnumbertheory.wordpress.com Reviews

https://exploringnumbertheory.wordpress.com

A blog on elementary number theory (by Dan Ma)

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Congruence Arithmetic and Fast Powering Algorithm | Exploring Number Theory

https://exploringnumbertheory.wordpress.com/2013/08/04/congruence-arithmetic-and-fast-powering-algorithm

A blog on elementary number theory. Skip to primary content. Congruence Arithmetic and Fast Powering Algorithm. August 4, 2013. In some cryptography applications such as RSA algorithm, it is necessary to compute. Are very large numbers. We discuss and demonstrate an efficient algorithm that can handle such calculations. This general algorithm has various names such as fast powering algorithm, square-and-multiply algorithm and exponentiation by squaring. The problem at hand is to compute. Into a series of...

2

An upper bound for Carmichael numbers | Exploring Number Theory

https://exploringnumbertheory.wordpress.com/2014/09/06/an-upper-bound-for-carmichael-numbers

A blog on elementary number theory. Skip to primary content. An upper bound for Carmichael numbers. September 6, 2014. However, Carmichael numbers are rare. We illustrate this point by doing some calculation using an upper bound for Carmichael numbers. Be a prime number. According to Fermat’s little theorem,. That is relatively prime to. Ie, the GCD of. Is 1) The Fermat primality test goes like this. Suppose that the “composite or prime” status of the positive integer. Is relatively prime to. However her...

3

Tables of Contents | Exploring Number Theory

https://exploringnumbertheory.wordpress.com/tables-of-contents

A blog on elementary number theory. Skip to primary content. For easy reference, here’s a listing of the blog posts grouped by topics. Basic Prime Number Results. Euclid’s Proof of the Infinitude of Primes. Another Proof of the Infinitude of Primes. Tweaking a proof of the infinitude of primes. Fundamental Theorem of Arithmetic. The Fundamental Theorem of Arithmetic. A basic discussion of congruences. Solving Linear Diophantine Equations. Congruence Arithmetic and Fast Powering Algorithm. The following p...

4

Introducing Carmichael numbers | Exploring Number Theory

https://exploringnumbertheory.wordpress.com/2013/11/10/introducing-carmichael-numbers

A blog on elementary number theory. Skip to primary content. November 10, 2013. This is an introduction to Carmichael numbers. We first discuss Carmichael numbers in the context of Fermat primality test and then discuss several basic properties. We also prove Korselt’s criterion, which gives a useful characterization of Carmichael numbers. Fermat’s little theorem states that if. Is a prime number, then. Suppose that we have a positive integer. Then we know for certain that the modulus. The above calculat...

5

Exploring Number Theory | A blog on elementary number theory | Page 2

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A blog on elementary number theory. Skip to primary content. Skip to secondary content. Newer posts →. How to Chinese remainder, part 1. November 15, 2015. This is the third post in a series of posts on the Chinese remainder theorem ( first post. In this and the next post. The algorithm discussed here is to solve the following is the version of the Chinese remainder theorem. This version has been shown to be equivalent to several other versions in this previous post. Theorem F (Chinese Remainder Theorem).

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Hello world! | Mathisfaction

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October 24, 2010. Welcome to WordPress.com. This is your first post. Edit or delete it and start blogging! Follow me on Twitter. Guzman's Mathematics Weblog. Harder, Better, Faster, Stronger. How I See Geometry. APTITUDE PREPARATION FOR ALL. ICSE Mathematics Portal for K-12 Students. Marveling At The Historical. Mathematics without Apologies, by Michael Harris. The RAGE of the Blackboard. From Sequences To Singularities. October 24, 2010. Hi, this is a comment. Leave a Reply Cancel reply. Megan Schmidt&#...

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October | 2010 | Mathisfaction

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Monthly Archives: October 2010. October 24, 2010. Welcome to WordPress.com. This is your first post. Edit or delete it and start blogging! Follow me on Twitter. Guzman's Mathematics Weblog. Harder, Better, Faster, Stronger. How I See Geometry. APTITUDE PREPARATION FOR ALL. ICSE Mathematics Portal for K-12 Students. Marveling At The Historical. Mathematics without Apologies, by Michael Harris. The RAGE of the Blackboard. From Sequences To Singularities. Blog at WordPress.com. Small experiments in R. The R...

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About | Mathisfaction

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Name : Bart Sabbe. Follow me on Twitter. Guzman's Mathematics Weblog. Harder, Better, Faster, Stronger. How I See Geometry. APTITUDE PREPARATION FOR ALL. ICSE Mathematics Portal for K-12 Students. Marveling At The Historical. Mathematics without Apologies, by Michael Harris. The RAGE of the Blackboard. From Sequences To Singularities. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public). Notify me of new comments via email.

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Exploring Number Theory | A blog on elementary number theory

A blog on elementary number theory. Skip to primary content. Skip to secondary content. September 15, 2014. For the Fermat primality test, looking for a Fermat witness is the name of the game. Given an integer. For which the “prime or composite” status is not known, if you can find a Fermat witness for. You can conclude decisively that. Is not a prime number. If. Is a composite number in reality (but the status is not known to you), how likely is it to find a Fermat witness? What is a Fermat witness?

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