User blog comment:Ikosarakt1/Apocalyptic function/@comment-5529393-20130321020848/@comment-5150073-20130321110136

Also, even though the probability of the power of two being non-apocalyptic rapidly desreases, for larger search spaces that very small probability can "slip through", forming the non-apocalyptic number. However, I don't see the way to prevent that block for the extremely large powers of two.