n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 431: | \[431!!!!!+1\] | 1801 × 2377 × 23459 × 2709257 × 305914925047030409713518228483278077676599798635245468428222105040178584021739761982300232900854647320670164552360480390480347283588300056863491064814715650148480636210285507<174> |