n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 311: | \[311!!!!+1\] | 2 × 193 × 1213 × 186717469 × [3245099639012082335218223475752741418582181546303449181233463202039878917774014371304760294649157904151095266774873006782787092579997304141180724703<148>] |