n!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
124: | \[124!!-1\] | 127 × 106213 × 1508063 × 20499112295639<14> × 348032794847104045026290477967565623204243520404157121837128861263768257194757<78> |