n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
156: | \[156!!!-1\] | 739 × 3242843671 × 4049783574209<13> × 159775876446625474367765711240971<33> × 336078061212077190493730647898076889<36> |