n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
179: | \[179!!!+1\] | 139 × 463 × 83702351 × 12329333881963942891971703997054684707011723728526755967013969172607213039918518852010503608205443<98> |