n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
317: | \[317!!!!!+1\] | 219558125067811<15> × 629993178925853<15> × 18454247095460559039734463716609052107292674277283298218054097989923585351520266321612967381467611707079<104> |