n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
272: | \[272!!!!+1\] | 409 × 66622333 × 2072639521 × 2482109353 × 1541166230291437994103259916676098054870837459829799876414911923467918080453259356573695217288498845092018741<109> |