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. https://thecodingtrain.com/CodingChallenges/167-prime-spiral.html
p5.js Web Editor Sketches:
🕹️ Prime (Ulam) Spiral: https://editor.p5js.org/codingtrain/sketches/0Ud-XsaYb
🕹️ Number Spiral: https://editor.p5js.org/codingtrain/sketches/Zs65bV-Al
🕹️ Prime vs Random Spiral: https://editor.p5js.org/codingtrain/sketches/3np1hBlXD
🕹️ Shapes and Color: https://editor.p5js.org/codingtrain/sketches/mCvvSKpZ5
🕹️ Incorporating 3D: https://editor.p5js.org/codingtrain/sketches/-eX078HZ5
🎥 Previous video: https://youtu.be/55iwMYv8tGI?list=PLRqwX-V7Uu6ZiZxtDDRCi6uhfTH4FilpH
🎥 All videos: https://www.youtube.com/playlist?list=PLRqwX-V7Uu6ZiZxtDDRCi6uhfTH4FilpH
Links discussed in this video:
🔗 CodingTrainChooChoo on Twitch: https://www.twitch.tv/codingtrainchoochoo
🔗 Coding Train Twitch Archive: https://www.youtube.com/channel/UCcNasmuTD4kb_HC1Z5lcuxg
🔗 Mathematical Games: The remarkable lore of the prime numbers (1964): https://www.scientificamerican.com/article/mathematical-games-1964-03/
🔗 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_number
🔗 List of Prime Numbers: https://en.wikipedia.org/wiki/List_of_prime_numbers
🔗 Download Processing 4: https://processing.org/download
Other videos mentioned in this video:
🎥 Prime Spirals: https://youtu.be/iFuR97YcSLM
🎶 Processing Theme Selector music by https://twitter.com/WillFromAmerica
Timestamps:
0:00 Welcome! Choo choo!
0:23 History of 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 and examples
🚂 Website: http://thecodingtrain.com/
👾 Share Your Creation! https://thecodingtrain.com/Guides/community-contribution-guide.html
🚩 Suggest Topics: https://github.com/CodingTrain/Rainbow-Topics
💡 GitHub: https://github.com/CodingTrain
💬 Discord: https://discord.gg/hPuGy2g
💖 Membership: http://youtube.com/thecodingtrain/join
🛒 Store: https://standard.tv/codingtrain
📚 Books: https://www.amazon.com/shop/thecodingtrain
🖋️ Twitter: https://twitter.com/thecodingtrain
📸 Instagram: https://www.instagram.com/the.coding.train/
🎥 Coding Challenges: https://www.youtube.com/playlist?list=PLRqwX-V7Uu6ZiZxtDDRCi6uhfTH4FilpH
🎥 Intro to Programming: https://www.youtube.com/playlist?list=PLRqwX-V7Uu6Zy51Q-x9tMWIv9cueOFTFA
🔗 p5.js: https://p5js.org
🔗 p5.js Web Editor: https://editor.p5js.org/
🔗 Processing: https://processing.org
📄 Code of Conduct: https://github.com/CodingTrain/Code-of-Conduct
This description was auto-generated. If you see a problem, please open an issue: https://github.com/CodingTrain/website/issues/new
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