Prime Number Sieve and the Ulam Spiral

[spiritfulness]

Would love to see you animate the Croft Spiral Sieve!

[pipolopulus]

spiral?

[llladelll]

what program can i use to paint this points, im trying with mathlab but i´d like to know another software

[Buzzlybonk]

The noice looked like waterdrops hitting a watersurface for awhile, anyway it looks also like a language of some sort

[kaleidostar88]

I more or less understood all of that until you started explaining why the cells turn black then you lost me

[luked82]

Any Calc fans out there? I have a problem I want to see if anyone can solve it. I did. You can find the problem at the end of my video called String Art is Calculus.

[W4d5Y]

I don't know what's going on here but I actually recognized the last images to be those of the prime numbers of I think up to ten k something, when all integers are arranged in a spiraling fashion.

[forgotmypassword3]

waves?

[cobaltdan9]

this is awesome

[mhisno1]

I know this is a lot to ask, but I am asking because I am so intrigued by this animation. Could you post a video in response to this explaining the animation?

[Beanybag2]

This is amaizing...reading about prime number theory has made me want to learn all about them and figure them all out...If only I was smart and could understand this stuff >.>

Anyways, very neat video =o

[henridion28]

people who find theorem in science are not the smartest,but the most interested ones (trust me)I was soo amazed and interested in the prime numbers theory that I found some interested things in it...but realized later on that they had been founded 1 century before me.....I was soooooo pround of me and now trying to use the fermat theorem to find a function with all the prime numbers and IN ORDER..exple:f(1)=1,f(2)=3 etc..for that 1 must be a prime and 2 not a prime as it was before 1901.

[Werelion2367]

5 stars, this is different than the other "prime spiral" formed by crossing out primes, like the one of the mathworld site right?

[spaske2528]

Thanks! This animation is similar to the mathworld demonstration in that it uses the sieve of Eratosthenes. However, when a composite is 'scratched out', those numbers above the composite, shift back to fill the empty space. When all composites are scratched out what is left is only primes. However, the original coloring arrangement of the primes leads to the Ulam Spiral.