n!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
169: | \[169!!-1\] | 24 × 5353037 × 2823395033870568163<19> × 2601408677851990817968759967<28> × 1058592972204770096568887909946299212792686275290813102312451492930667156167038276504203150128641607<100> |