n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 437: | \[437!!!!!-1\] | 52 × 269451679029047<15> × 34093990340201900543<20> × 546739572799631688899<21> × 1463893847168340677610185478929517524675841164409953703575538827263075015473411668974044710130808430336976812072734772420154578389384656373<139> |