n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 249: | \[249!!!!!-1\] | 53 × 1057047427 × 4760773644004141<16> × 2644644730257029754959<22> × 636794899997876001596858624945545724706298847155763<51> |