The Goldbach Conjecture and the Ulam Spiral

In a letter written to Euler in 1742 Christian Goldbach conjectured that every even number is the sum of two prime numbers. In this animation, the Ulam Spiral is reversed and bitwise AND'ed with itself. This action is performed for the Ulam Spiral with the reversal point moving from N=2 through N=240^2=57,600. In each frame, those pixels that are on, correspond to two prime numbers that sum to 2N. If Goldbach's conjecture is wrong, there is at least one frame in the infinite animation that is completely black. Here, only those frame numbers that correspond to triangle numbers are displayed.

Category:

Science & Technology

Tags:

• Goldbach
• Conjecture
• Ulam
• Spiral

[paulio2293]

if anyone ever proves it they will be an instant legend slash millionaire

[lfchaconc]

noonon

what song

autor mane of the song

[lfchaconc]

quien sabe como se llama esta cancion

[Falkon303]

so, it looks like the prime algorithm is fractal in nature, but it also rotates clockwise. Cool video.