n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
378: | \[378!!!!!-1\] | 5 × 1523 × 36353 × 5182427 × 3258238843 × 81761036786783<14> × 1166543621642259873433<22> × 4528413635486837109174198037960132041267423751<46> × 14657647805162286987597590336006393825285495705767038523609<59> |