n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 392: | \[392!!!!!+1\] | 313 × 331258716075825135329<21> × 14927851940969934411093381563<29> × 15341904007339433084582878329032561673497809578854783<53> × 20391578681670441559789705891699624258367008815033851414520320106773<68> |