n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
223: | \[223!!!!-1\] | 24 × 173 × 158822341693<12> × 8905473361777<13> × 3492174797610990246749054883435043967<37> × 80415695121164342918658135168886537396629689<44> |