n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 361: | \[361!!!!!+1\] | 877 × 1381 × 3444989 × 172792433298932303043973854817551902591<39> × [46152564778379750079801136496926415710370839804484950066424939463468983554257116402999368238732601666859<104>] |