n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 417: | \[417!!!!!-1\] | 5 × 6024418845559<13> × 282551141234748965021<21> × 634893809934661342045289524269710537398898604779626113242274371183423069606523917201628957646582002830970914132920394785127554412708283162156053634089<150> |