n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 345: | \[345!!!!!+1\] | 5387 × 17015227565792981513084573<26> × [3162660376023593160238169009057271381996614561877295328412201264059246053290003520006428593087322667826199505537842751<118>] |