n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
475: | \[475!!!!!-1\] | 109 × 167 × 853 × 10748533040533<14> × 2454915629834067935207<22> × 63646138866658091933818502967196800390897470342595349637166515684386836952714339345870582665341095795383400497168645931250697856730312421259891782591018823505393293516538531<173> |