n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 308: | \[308!!!!!+1\] | 52 × 127 × 552841 × 110562097 × 6702113994259725439<19> × 1152421262466761880524178321218174707690715809<46> × 58548500526727913437015420462752105588456468433<47> |