n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
321: | \[321!!!!!-1\] | 52 × 217887863 × 35158846867<11> × 13453755305490571<17> × 66922292802000766615249189066034561201286951496421947671653230368636741201374232358878344942281681<98> |