n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
177: | \[177!!!-1\] | 10193 × 15097506375328931<17> × 726389526898780112085370181<27> × 17530762563019166229733012586356121533094146197100657846689313<62> |