n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 361: | \[361!!!!!+1\] | 877 × 1381 × 3444989 × 172792433298932303043973854817551902591<39> × 7482506926066408434422919972012784594475499649<46> × 6168061751817500256255565428882852006433514389290385381291<58> |