n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 304: | \[304!!!!!-1\] | 157 × 223 × 397 × 59704443084425469918222125973260200686469042985491799700437172014519740375902300777621647226302811770981598265532439209<119> |