n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
291: | \[291!!!!!-1\] | 5 × 13417 × 37336979 × 62416073 × 119518826329937<15> × 49643651929677593<17> × 5688275371838310089777<22> × 37996900808473443731932584229579580412860901017<47> |