n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 240: | \[240!!!!-1\] | 113 × 307 × 967 × 100947647 × 45727001476407703709403176465947<32> × 24401938916818833878193597272849447<35> × 2927101459793396818353751164000320929<37> |