That is an unreasonable assumption, there isn't a secure way to issue everyone with a guaranteed unique prime. And even if there was, what is this system suppos

That is an unreasonable assumption, there isn't a secure way to issue everyone with a guaranteed unique prime. And even if there was, what is this system supposed to be doing? It doesn't secure anything and it doesn't enable any new knowledge that wasn't already available by just signing ballots with your name (which is a bad idea, so by comparison we might expect that this prime scheme is also a bad idea). Are you sure that is an interesting thread to pull? It doesn't look at all promising to me.