n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 380: | \[380!!!!+1\] | 191 × 227 × 2832762707 × [131986396680364014866414913535596437088110106552670050838244834641177409775551343756421283436525124483464756825897728037881928952135438431684833308213243702909117352400971677070096892564552599<192>] |