n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 222: | \[222!!!!+1\] | 44053 × 170539 × 2237783 × 110062497701756828969563<24> × 150083646337368018582150217929255193738147271663082035933525111929907<69> |