n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 238: | \[238!!!-1\] | 3 × 569111 × [124398990477237991567762146799444095956074657570557584367267820673110908647860859595328787923805622117530344911914280600891804358935501674248667366003<150>] |