n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 173: | \[173!!!+1\] | 1051 × 189379363 × 573961369 × 1957667707451<13> × 345266834354970049<18> × 27302064753980630299883677773628399216430976986065863067<56> |