n!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
117: | \[117!!-1\] | 2 × 12391 × 210776759587395927017<21> × 1121794277951686189618523349880722807877363986194556245462464465935545321<73> |