n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 461: | \[461!!!!+1\] | 2 × 1993 × 3299 × 48578923 × 63632660826392173<17> × [44919341207071819462865484137469356179883183983136511885268496364969110468112861251176875506382496739309419593123984995091546725326788911983821612900687198889086042066143397307547260464287688797560865457306817779817843452220321<227>] |