n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 253: | \[253!!!-1\] | 32 × 390718025441<12> × 440651622829725871437546461<27> × 29815226874966867483219330484738427145095584345103<50> × 4223378390042432225453529295131758876398378636596444137319056010907548544615037<79> |