n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 253: | \[253!!!-1\] | 32 × 390718025441<12> × 440651622829725871437546461<27> × [125920984877947426523328927816902841713295129128505431459842838832464175752933143078014649555679498360601668548295574088891113811<129>] |