n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 345: | \[345!!!!!+1\] | 5387 × 17015227565792981513084573<26> × 25368036055986991562526803658631599741345461<44> × 124671076982216306581388289142545634999009902807651582932379267488794217891<75> |