n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 306: | \[306!!!!!+1\] | 9397 × 1678743219523688439705719<25> × 346494228217173821657895369716234759370642288351705236409778730437824626945087997876085969812156299<99> |