n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
381: | \[381!!!!!-1\] | 5 × 7253 × 9689 × 255387845442487<15> × 451896040413985478279<21> × 767968880207250744241<21> × 20783585306464000829706973675365398192750088639665581440490643322162096406742302231336476471332437871<101> |