n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 339: | \[339!!!!!-1\] | 5 × 271 × 16499530969289<14> × 63986574084475707587075339358579888496947863<44> × 216704437971475886314371394371833958036547516387172998514876837804993888969360502547<84> |