>The interesting parts here are that the sqrt of both numbers is x+n = 3053.
The sqrt of both numbers is 3053, but where does x+n = 3053? The x+n of 31197 is 83 and the x+n of 61076107 (or any square) is 0.
So what this means is that floor(sqrt((c^2)/4)) = (x+n) iff a = 1? I took the real a and b out of it because it still seemed to work (it floated around 3053.5). Maybe there's a link between the remainder from the square root of ((c^2)/4) across all values of c that allows us to change the equation around to calculate a and b.