n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
333: | \[333!!!!-1\] | 23 × 389 × 52963 × 866733973073<12> × 16046285115978041<17> × 5371245861244833511616550498802680522832671227426745297845770790230707883581937056559768789797792717997342530758696424191846443923867654203<139> |