n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 277: | \[277!!!!!-1\] | 5 × 73 × 311 × 153739 × 712049179 × 144931235758133879<18> × 60322933866874250679112484215418573<35> × 365056819065803415471833384470624853082047<42> |