n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 313: | \[313!!!!!+1\] | 5291844179<10> × 20965442777<11> × 28084199027<11> × 23265281266653376747<20> × 119257079786358140869139<24> × 509563995128289165737052911<27> × 6235468468766339050491044169311<31> |