n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 372: | \[372!!!!!+1\] | 803505406526987639<18> × [27583446706838465536907318680766072919092328902853728826465756694899285036793310661203328265683724846508735994524046303192212299996697687116871<143>] |