n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 359: | \[359!!!!+1\] | 2 × 2879 × 9248359 × 187236971 × [60438081529179090173859714858205377647904256925647210748435967736566592380950107210485372108679584547932845212407326923856557832691230697941427231832372967702079555192272273<173>] |