n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 253: | \[253!!!+1\] | 349 × [559080076172661488310854419146075269459357765671651434690345712998093862853353729754099479681260481182803285732689089525604207264740859865369438624641833810888252149<165>] |