User blog comment:Ikosarakt1/Apocalyptic function/@comment-5529393-20130321020848/@comment-5529393-20130321104409

Well the expected number of nonapocalyptic numbers greater than 2^100000 is about 2.7616 * 10^{-10}. So we can be pretty confident there are no nonapocalyptic numbers greater than 2^100000. So just check which powers of 2 from 1 to 100000 are apocalyptic or not.