n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
181: | \[181!!!+1\] | 389 × 4517 × 814061 × 5425220125958091711307537441<28> × 200010502355142484216033926741335410708649505522739954734325839480528877<72> |