n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 279: | \[279!!!!!-1\] | 5 × 5153 × 214051 × 15251059 × 407908927 × 834907623176408774238024536013981277261<39> × 13208221499325449974150986899281982473395915840041<50> |