New 17-million-digit monster is largest known prime

Significant discussion: <a href="http://news.ycombinator.com/item?id=5170765" rel="nofollow">http://news.ycombinator.com/item?id=5170765</a><p>And no, there is unlikely ever to be any way to predict them.

I wonder if it's possible to mathematically predict all of them? The p-owers should be distributed according to some law, should not they?