n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
354: | \[354!!!!!+1\] | 5 × 991 × 120557 × 5811840716931722779<19> × 4932723968777692790370011<25> × 769339589641818869081342185039554208101375278112346958057883985832947211457997567885432593613586327<99> |