Distribution of Primes

This is a chart of how the primes are distributed. By arranging the numbers in a square, we get to see them in terms of modular arithmetic (in a way, that's using multiples). For example in the 5x5, the 2nd column represents 2, 2+5, 2+10, 2+15, and 2+20. What patterns do you notice? Where do primes happen? Karl Gauss noticed that the farther up you go, the less primes there are. Can you see that here or do we need bigger numbers still? See a rectangular version of this sketch: [url]http://www.geogebratube.org/material/show/id/117226[/url] The idea for how to do this with the lists came from the forum: [url]http://www.geogebra.org/forum/viewtopic.php?f=2&t=27574&p=95396[/url] It's a post by the amazing Anthony Or. [url]http://www.geogebratube.org/user/profile/id/191[/url]

 

John Golden

 
Resource Type
Activity
Tags
distribution  gauss  modular  prime 
Target Group (Age)
11 – 19+
Language
English
 
 
GeoGebra version
4.4
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1316
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