n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 167: | \[167!!!-1\] | 32 × 223 × 248104304831393559609988579<27> × 143956296683050072296333446787202456932851961400012186951318651877187283<72> |