← The Shape of the Primes

Prime Spiral

n → angle = n radians  ·  radius = √n
n = –
primes = –
density = –
● prime
· composite
Why spiral arms?  44 radians is almost exactly 7 full turns, so numbers 44 apart nearly line up. Every integer does this: the arms are geometry. Primes can only sit on the 20 arms whose remainder shares no factor with 44, so the other 24 stay dark.