n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
279: | \[279!!!!+1\] | 2 × 93790457 × 724298917 × 767621867 × 590642268023883929353711<24> × 76363676728745275579872276452298320427584706134645055092252833285241568338804778838008905471<92> |