this is a cool question, presented in my 11am honors class by A & B (physics & computer science majors).
are you an idealist or intuitionist in mathematics?*
the idealist relies on aprioristic deduction results, the realist goes empirical, she counts ("she" is a computer algorithm). so, i took a realist short cut and then made my best inference.
something very interesting happens to primes --between 106 and 108, which allows for siding in favor of composite numbers' greater infinite-density.
yes, my hunch is that Q> P.
*the intuitionist claims that p is true means that there is a proof of p. from the idealist (platonist) perspective, whether or not we have a proof, we know that p must be either true or false: mathematical reality guarantees that it has one of these two truth-values. the intuitionist dithers.