n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 382: | \[382!!!!!-1\] | 366997 × 3289067 × 25546513 × 5202086913065341775213547671453861<34> × 19897457322469421494153457919334538156183461324217739133880560817688466015771326186547093082182912885067930714693<113> |