n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
273: | \[273!!!!!+1\] | 31186940090066731<17> × 15241067128497697077703518614905992034128908466191122196154591918512150667324718174285347053443<95> |