I am a second year doctoral student in mathematics at the University of Central Florida in Orlando, FL. I obtained my MS from WKU in Bowling Green, KY where I researched continued radicals and Cantor sets.
The trouble with integers is that we have examined only the very small ones. Maybe all the exciting stuff happens at really big numbers, ones we can't even begin to think about in any very definite way. Our brains have evolved to get us out of the rain, find where the berries are, and keep us from getting killed. Our brains did not evolve to help us grasp really large numbers or to look at things in a hundred thousand dimensions.