n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
175: | \[175!!!-1\] | 3 × 456151 × 1278121464337432048869500211922360426464083<43> × 27543949554675892240051420369113205310084439996621966733601<59> |