n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 313: | \[313!!!+1\] | 367 × 26459 × 386731 × 113269159 × 957309758960967042415391<24> × [5572140718576201418199502419350963189903317335432232640319369695010144983560756761324216960748286136640674346076821487010902074597072940547294360160843798059936995033991503<172>] |