n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
244: | \[244!!!!!-1\] | 257 × 397 × 881 × 10546657879<11> × 3026852532239<13> × 56408488573753<14> × 26284484579976017011862252826646709102073117526532539<53> |