I don't see how "a reason to distribute it" is necessary. What if I just choose a completely random integer with 2000 digits and host it? I don't have any reason to do so, and it's certainly not illegal. Then someone comes along and generates a program that's equivalent to that number, or some digital media rights developer happens to use that number as a key for encrypting some copyrighted media. Does my original act of hosting suddenly become illegal, because I had no good reason to host the number in the first place?