How can we narrow down the searching range by using these numbers?
no way, these are just people trying to find some good option that would help find the key faster, or at least find out where it starts)
yes, but how this would help in this?
It's just a way of representing numbers differently, aimed at trying to speed up the code. But since they don't have a formula that makes the expression inside the square root a perfect square and ensures that the denominator divides it evenly, this approach is ignored.
