n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 173: | \[173!!!-1\] | 3 × 819769 × 857224582153074460855076566714700925264325499389662855153416767935650205255688453952959359689538557<99> |