n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
263: | \[263!!!!!+1\] | 101 × 1039 × 5531 × 402035818909121<15> × 14630202242651657<17> × 27493562624234489<17> × 69215605755088011910594792575045190585643449417337<50> |