n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 213: | \[213!!!!+1\] | 2 × 1021 × 329708091856287643<18> × 6630689266097171332050079<25> × 231943389697463981474841644352197328212329078499169443399<57> |