n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
152: | \[152!!!-1\] | 1493 × 3727 × 692905049623<12> × 1021333605402126650958029<25> × 168568650072275063092864888006204027707513263527<48> |