Circle with radius r (r is an integer) has point P inside it. Center of circle is M(r,r).

Points A,B,C are on the circumference: PA, PB and PC are different integers.

AngleAPB = angleBPC = angleCPA = 120 degrees (of course!).

I'm looking for hints/suggestions as to simplest way to "find" such circles,

and get coordinates of point P. Anybody got "short cuts"? Thanks.