This Question, about random appearance of primes, is a bad one, no doubt. So far it has racked up 3 downvotes and 2 close votes in about half an hour.
And yet I believe there is something impressive to be said on this subject for future Readers. That it would likely not make much impression on the OP is discouraging, but not a show stopper.
I suspect many Readers would be interested to learn a little about the remarkable connection between the distribution of primes and that of zeros (roots) of the Riemann zeta function. I'm reminded of a (more than slightly) contentious thread on sci.math where one of my heros was surprised to be told this connection was not a figment of a troll's imagination.
And surely something can be said of recent progress in understanding the distribution of prime gaps, a remarkable development.
My recommendation is that terrible-but-interesting Questions should be given a little more than the usual hour before closing/putting on hold, to see if someone steps up to post the heroic edits or amazing Answer necessary to keep the box open.