n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
177: | \[177!!!+1\] | 103 × 383 × 37309 × 10021629112310444991816983523566845319<38> × 132858606824331002762895716782695484274973826107619665315364219<63> |