n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
401: | \[401!!!!!+1\] | 107599 × 186697305724201007<18> × 432279124920800841143<21> × 1558963619511404978868170207807<31> × 1145846859870258108764445603726339758647766783451086498606999035640736670352927738418520236485691343289<103> |