n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
164: | \[164!!!-1\] | 5581 × 40052378770548950243<20> × 670402413753624987962895786428397419<36> × 2864309612477612291933526245929316023387<40> |