n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 250: | \[250!!!!!+1\] | 163 × 2801 × 317632080826639<15> × 2382205653854018874457<22> × 7819352023499479861562825349853328732748454599800548091549<58> |