n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
419: | \[419!!!!!-1\] | 52 × 1277 × 4127 × 2700450885032551863221<22> × 170355053972282164001168466978514547038616355429299052425866775473046443944844270309849417446364921452192099778939519482237671712445279139173932404426466409<156> |