kill(all)$

van=facebook.com/LearningCalculus$

       Let a = 0 and b = 0
       Let m = 2 and n = 4
       Consider any circle of radius > 0 with this center.
       The center (m,n) of this circle lies on the curve y=x^2
       because n = m^2.
       Since the circle center intersects the graph, so does its interior.
       This is true for any integer pair such that n = m^2
       of which there are an infinite number.
       thus there exist two integers and we are done.
       Here are four pairs.
       It was implied but not specifed that m and n are unique.

create_list([m,m^2],m,1,4);