n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
144: | \[144!!!-1\] | 1741 × 34273 × 1318859 × 148330943 × 36987277315741<14> × 2118083643000630276689<22> × 1082810672505946687453392811<28> |