n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 354: | \[354!!!!+1\] | 13121 × 5054659764236545559<19> × [5695000213106701745556693331174616017617456842903429561981847022388038188847121761545825458156271720453328578492460961050412570292229522354795139960839924781715286759<166>] |