n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 370: | \[370!!!!-1\] | 401 × 439 × 31793 × 392786711 × 128481556823379639431886679<27> × 23468700110498008419106978750129544176728371298645627281783872902430100349684600025020510830944431388781617147565958862391300762873280192107566518452580073<155> |