n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 473: | \[473!!!!!+1\] | 337 × 593 × 1297 × 21700461169<11> × 776384470864500955505179<24> × [647874457896988825160170334582911003451570607301942702941463581486971138692967230603270872447043339868767847702249765319790144190992749481023688904072331455138978409369779<171>] |