n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 309: | \[309!!!!!+1\] | 384565399703<12> × 495619761797149049390066680037<30> × 1345368737016864838967149184549510515794271185312251370749115357500699639135930856835867<88> |