n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 306: | \[306!!!+1\] | 103 × 20407 × 3694662947 × 9065810542801927<16> × [63342518711273491703468286182880596504236417285737350788716054599121289037531661762259520402843617682825018365828571179550641338484530870133672944311857418719745982060133256025149<179>] |