n!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
168: | \[168!!-1\] | 167 × 4993 × 16139 × 308447 × 3505778977213<13> × 1019118322650353<16> × 2032299025089317160007028851889<31> × 423567620798927615576818378307191<33> × 5021678377061176005587002563817746072091131583<46> |