n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 337: | \[337!!!!!-1\] | 52 × 1613 × 2663209 × [280010086111850912616297256631530210882392542478194343445300559066071232344756555520963738907695871802386794365044210602114816641147<132>] |