n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
178: | \[178!!!+1\] | 185325289949441201450145222429649177<36> × 46271496190935881664851065170466599057962195304736255922186375188546659113<74> |