n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
267: | \[267!!!!+1\] | 23 × 626459149 × 191576795582749311526573<24> × 206050754825674594298675851<27> × 33585679793597621344673009513710567013<38> × 34049048970543688965974505358361292547<38> |