n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
174: | \[174!!!+1\] | 59 × 389 × 3109 × 209953 × 171306108399995243209<21> × 4314069052082478244522727896568581578564215124060910942282682518125223507<73> |