Category Archives: posts without words

Post without words #26

Posted on May 6, 2019 by Brent
Posted in modular arithmetic, number theory, posts without words | Tagged , , | 2 Comments

More words about PWW #25: The Chinese Remainder Theorem

Posted on April 5, 2019 by Brent

In a previous post I made images like this: And then in the next post I explained how I made the images: starting in the upper left corner of a grid, put consecutive numbers along a diagonal line, wrapping around … Continue reading →

Posted in modular arithmetic, number theory, posts without words | Tagged , , , , | 3 Comments

A few words about PWW #25

Posted on March 9, 2019 by Brent

In my previous post I made images like this: What’s going on? Well, first, it’s easy to notice that each grid starts with in the upper-left square; is one square down and to the right of , then is one … Continue reading →

Posted in modular arithmetic, number theory, posts without words | Tagged , , , , | 4 Comments

Post without words #25

Posted on March 5, 2019 by Brent
Posted in modular arithmetic, number theory, posts without words | Tagged | 4 Comments

Fermat witnesses and liars (some words on PWW #24)

Posted on January 18, 2019 by Brent

Let be a positive integer we want to test for primality, and suppose is some other positive integer with . There are then four possibilities: and could share a common factor. In this case we can find the common factor … Continue reading →

Posted in computation, number theory, posts without words, primes | Tagged , , , , | 1 Comment

Post without words #24

Posted on January 15, 2019 by Brent
Posted in computation, number theory, posts without words, primes | Tagged , , , | 5 Comments

Post without words #23

Posted on October 29, 2018 by Brent
Posted in pattern, pictures, posts without words | Tagged , , , | 11 Comments

Post without words #22

Posted on August 23, 2018 by Brent
Posted in arithmetic, computation, number theory, posts without words | Tagged , , | 8 Comments

Post without words #21

Posted on December 18, 2017 by Brent
Posted in combinatorics, geometry, posts without words | Tagged , , | 17 Comments

From primitive roots to Euclid’s orchard

Posted on July 26, 2017 by Brent

Commenter Snowball pointed out the similarity between Euclid’s Orchard… …and this picture of primitive roots I made a year ago: At first I didn’t see the connection, but Snowball was absolutely right. Once I understood it, I made this little … Continue reading →

Posted in pattern, pictures, posts without words | Tagged , , , , , | Comments Off on From primitive roots to Euclid’s orchard