n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 377: | \[377!!!!!-1\] | 5 × 251 × 110641 × 60175383691987699354368262063442758160477851976706554267994542178382480715668001776653478301542263223725641494405983831355293946332182149534647107553266297<155> |