n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
143: | \[143!!!-1\] | 34 × 2129 × 1481917 × 12145703 × 7933618836058890035972411<25> × 8152223855680301058801109947292537213991<40> |