n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 313: | \[313!!!!!-1\] | 852559 × 3077791835208990509<19> × 1675034298986586891697<22> × 2983750887151245528879511304657<31> × 2094515005295737312634845382133470036326469444886327989<55> |