n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 377: | \[377!!!!!+1\] | 13585379495035501487<20> × 18396398906067992233<20> × 2295089629216560177336365517131<31> × 133406329723934322172444828844839<33> × 109193806809826311824167206042453532245058679563403531184226483<63> |