Ulam Spiral Visualization - The Pattern of Prime Numbers

The Ulam spiral is a way of visualizing the distribution of prime numbers (in blue). This pattern is one the great unsolved mysteries in mathematics and has important consequences in Cryptography.

Category:

Education

Tags:

• Ulam spiral
• prime numbers
• number theory
• composite
• visualize
• primes
• euclid
• RSA
• encryption
• educational
• computer
• crytpgraphy
• Mathematics
• Technology
• infinite
• complexity

[metallica41070]

i dont get it lol

[ArtOfTheProblem]

@metallica41070 Well all the blue squares are prime numbers, the black ones are composites. The pattern demonstrates the relationship between both "kinds" of numbers. This pattern is not predictable.

[Alonso6390]

This is the best Ulam spiral video on YouTube, and the most cinematic. Most of the Ulam spiral videos are essentially just output from a math program, and the pattern of lines, divorced from the numerals, seems somewhat abstract. In my own video, I show the numerals, but this limits me to small numbers; once we get out into the millions showing the numerals is rather unwieldy. ArtOfTheProblem has in this video found the perfect compromise and done it with flair and elan.

[ArtOfTheProblem]

@Alonso6390 Thank you kindly for the great feedback. It would be really cool to explore this further sometime and show the sound of primes by scanning the spiral with notes really fast (as you have done)

[juggleninjaguy]

Very nice video. What software did you use to make this visualization?

[ArtOfTheProblem]

@juggleninjaguy Thanks, I used a combination of After Effects, Photoshop & Final Cut Pro

[Koseiku]

I'm not one of those who worship mathematics in a creepy way, but numbers can be really interesting.

[stormcorrosion]

@myrddinistheshit Herpity derp derp.

[420shleek]

Cool video

[McDaddyboy]

Thanks for a beautiful Ulam spiral video. How can I see more of your work!

[myrddinistheshit]

this is proof for allah