Thrust
I would think you would also have to factor in other variables such as:
Temperature
Relative Humidity
Altitude
You could look at some Aerodynamics sites, but I doubt you will find the Formula you are seeking. After all, even though you supply such data as prop diameter and pitch, that doesn't take into account the airfoil that the manufacturer employs in shaping that particular propeller. What about the propeller tip design? Some would increase drag in an effort to reduce noise, while another would sacrifice this for increased thrust.
I'm sure you will agree there is no need for further examples.
Good Luck to you!!