n!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
153: | \[153!!-1\] | 24 × 769 × 10613 × 52660018009<11> × 5021436724549923043393176524432338360183112331418079<52> × 40785604701831819440407043872410115179773278266476532137430261767<65> |