n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
419: | \[419!!!!+1\] | 22 × 2146137269 × 4367134388748919<16> × 12089310557144257260061577449686283799341181739469531802961240820665538630705803616145816571405806321477848949303377512302093394718083900597707408490468008642689477596226417945370314292198226099170468177879<206> |