n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
456: | \[456!!!!!-1\] | 5 × 2381403329432177<16> × 8300259742146524742296449<25> × 89824460565941167135043479<26> × 165354234179253814664702094595489200840861700296807424217523129748382216168720282789100112546714486645938880187075387215645583989988237333<138> |