n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 444: | \[444!!!!!+1\] | 52 × 227 × 677 × 37847 × 3407311 × 333581459 × 5643095172982907317792378591469520797854951373005517315617613807107352120492543969742118584618458693910459706789609398720625589020316108427642399884711670481859635710384133<172> |