n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
179: | \[179!!!!+1\] | 22 × 379 × 461 × 14545891 × 201397626886108858737805235495101<33> × 22741895088047015336201756388544709111<38> |