Yeah. I'm not sure, but maybe the correct approach is (like various numerical problems) to try it: make a nice double blind experiment where you show numbers to people and see how much they pay attention. Choose an arbitrary threshold for "paying attention" and choose a set of interesting numbers. Are all numbers you try in the set? If not, find the smallest number which isn't in the set, and see if it is in the set.

Put like that, the results sound obvious :)