n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 391: | \[391!!!!-1\] | 22 × 210546647 × 272192857 × 127770819581521<15> × 228243208805603<15> × [36696749755204644716347285608131640545196960563443130585177970147467458519409311130813109344583200807906406725070478063331496835981508903324513356436661859649156018153<167>] |