n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 306: | \[306!!!!!-1\] | 5 × 11677 × 315378814569676219<18> × 1762443752925661964999725753067<31> × 168430383078186990104135034485086096971761730671507045600089826089965850871<75> |