Consider all points with integer coordinates in the carthesian plane. If one draws a circle with M(0,0) and a well-chose radius r, the circles goes through some of those points. (like circle with r=22 goes through 4 points)
Prove that ∀n∈N,∃r so that the circle with midpoint 0,0 and radius r goes through at least n points. analytic geometryparameterizationnumber theoryleast common multipleratiocalculusintegration