n!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
165: | \[165!!-1\] | 2 × 1453129 × 85224535728068949843533359999<29> × 95263707603905278966600092120282377669071137471085606718591764984842117242134006234042293182866252493036849449297<113> |