n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 239: | \[239!!!!!+1\] | 9929 × 2256172862011307<16> × 778362456175090917302393675275568734605219649561013125312911927149844622699<75> |