n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 308: | \[308!!!+1\] | 3 × 60130626808024541<17> × [1202165338122739175357930021700170311427419781340505652977149275827660907419440988665407870896354250874904876321993445125004723120477251135566395789752266266100649620352617098179329877695963227687<196>] |