What is that method?
If you know the form you want you can curve fit.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.
I don't follow... how will curve fitting help you factorise a^6 + 8b^6 for example?