n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 409: | \[409!!!!!-1\] | 5 × 8539 × 1850777107 × 8185742869<10> × [540198135399716145565360498035365375013585803909041361723276333027336253941983888852526313825282887966252634223941857831604811819763655113295353139016641511<156>] |