n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 339: | \[339!!!!!-1\] | 5 × 271 × 16499530969289<14> × [13866174574696512423770015281929216364695561638165878016406350885312074462239395138533642085327896177697436719309948953337707061<128>] |