Because even we captured 100% of the output of the sun from this day until the day it burnt out in 5 billion years, and converted that all in to useable energy with 0% loss, and ran a computer with 100% efficiency, we couldn't even generate a fraction of a single percent of all the keys.

I can write a program which spits out every combination possible of standard English letters. Somewhere in that program is the cure for cancer. Doesn't mean I'll be getting a Nobel Prize anytime soon. This is exactly the same nonsense as your "database".