n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
229: | \[229!!!!!+1\] | 57653 × 3418005427 × 7120928893327289797<19> × 6514415687101601493629927<25> × 34106662813967681401837008207973<32> |