Spiral of Primes
Spiral of Primes
The natural numbers are arranged along an Archimedean spiral so that the squares 1, 4, 9, … are on the axis, with the primes drawn in blue, up to a circle of radius . The spiral is parametrized in polar coordinates by , . Also shown is the curve given by , (red), and its intersections with the spiral (purple boxes).
x
R
r=
n
θ=
n
r=
a+bn+c
2
n
θ=r-n
a