n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 316: | \[316!!!!!+1\] | 1747 × 33563 × 9220018605063027917897053668012653<34> × 2509845315604036765816805405534981836693<40> × 395899126120083111892962681318845152793887842479953<51> |