Polar Prime Spiral

points

21

show

integers

primes

locator sequence

polynomial sequence

linear factor

8

constant factor

-43

The integers can be arranged on a spiral while keeping square numbers on the positive

x

axis. Prime numbers concentrate on trajectories of quadratic functions like

2

x

+x+41

. The green line shows the sequence generated by

2

x

+ax+b

. A blue curve is constructed from three integers given by locator positions.