n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 343: | \[343!!!!!+1\] | 563 × 12739 × 5621197 × 34508630902393601<17> × 25679803739449173590962989975793281272836960487826805607245314441471189040653538656132599013944895565919330978339341<116> |