An illegal number is a number that represents information which is illegal to possess, utter, propagate, or otherwise transmit in some legal jurisdiction. Any piece of digital information is representable as a number; consequently, if communicating a specific set of information is illegal in some way, then the number may be illegal as well.[1][2][3]
Maybe I was reading something between the lines that wasn't there, but if arbitrary programs could be expressed as primes, the immediate conclusion is that all programs, including ones some people wished didn't exist, can too. I.e. the so called 'circumvention devices' of which my previous prime exploit was an example.
The question, of course, is whether an interesting number is illegal merely because it can be used to encode a contraband program.
The bottom line: If distributing code is illegal, and these numbers contain (or are) the code, doesn't that make these number illegal?