n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
397: | \[397!!!!!-1\] | 52 × 373 × 401 × 147397 × 66846011 × 1363997109833<13> × 651174359069447<15> × 1208125663287370133<19> × 4862385452086323969071267488349264082908827800637016358239706349151271819913491558097448899116155622151780951<109> |