n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 325: | \[325!!!!!-1\] | 389 × 568968406845431<15> × 756596277647882887283<21> × 112732634371686367355368087<27> × 1184210551497255956138192926624067930936838062062548047699954578437165841<73> |