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Why do prime numbers show up as diagonals in a spiral? In this video, I create a visualization in JavaScript (p5.js) of the Ulam Spiral (aka Prime Spiral) named for Polish Mathematician Stanislav Ulan.

p5.js Web Editor Sketches:
Prime (Ulam) Spiral: https://editor.p5js.org/codingtrain/s...
Number Spiral: https://editor.p5js.org/codingtrain/s...
Prime vs Random Spiral: https://editor.p5js.org/codingtrain/s...
Shapes & Color: https://editor.p5js.org/codingtrain/s...
Incorporating 3D: https://editor.p5js.org/codingtrain/s...

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References:
CodingTrainChooChoo on Twitch:   / codingtrainchoochoo  
2⃣ Mathematical Games: The remarkable lore of the prime numbers (1964): https://www.scientificamerican.com/ar...
An Observation on the Distribution of Primes, M. Stein and S. M. Ulam: https://doi.org/10.2307/2314055
Prime Numbers (Wikipedia): https://en.wikipedia.org/wiki/Prime_n...
List of Prime Numbers: https://en.wikipedia.org/wiki/List_of...
Download Processing 4: https://processing.org/download'>https://processing.org/download

Videos:
Prime Spirals:    • Prime Spirals  Numberphile  

Processing Theme Selector music by   / willfromamerica  

Timestamps:
0:00 Welcome! Choo choo!
0:23 History of the Ulam Spiral
1:16 Diagramming the Spiral
2:18 Starting to Code
3:25 How and when do I rotate?
4:25 Coding the number spiral
7:00 Debugging!
9:40 Visualizing the spiral
12:22 What is a prime number?
14:31 Code to check if a number is prime.
18:57 Marking primes in the spiral
19:40 Porting to Processing (Java)
22:46 More references & examples

Editing by Mathieu Blanchette
Animations by Jason Heglund
Music from Epidemic Sound

Website: http://thecodingtrain.com/
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Coding Challenges:    • Coding Challenges  
Intro to Programming:    • Start learning here!  

p5.js: https://p5js.org
p5.js Web Editor: https://editor.p5js.org/
Processing: https://processing.org

Code of Conduct: https://github.com/CodingTrain/Codeo...

This description was autogenerated. If you see a problem, please open an issue: https://github.com/CodingTrain/thecod...

#primenumbers #p5js #javascript