# Hurwitz prime slices

At time t, we look at the Hurwitz primes on the plane (2^{t},0,x,y)+(1/2,1/2,1/2,1/2). Enjoy the ride. We are going from t=0 to t=500. At the end we are at 10

^{150}distance from the origin and the primes are already thinned out quite a bit. But we see still regularly Hurwitz prime twins too, even so they thin out also. You observe that now, in the higher dimensional case,

**spacial patterns**are not uncommon in the primes. Of course they appear so also because of the symmetry in the Quaternion space.