n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
223: | \[223!!!!+1\] | 2 × 229 × 60257 × 2164073 × 1934708734803679<16> × 16583551367200031844253104996201553219<38> × 573764218244671242968755611007550268616577<42> |