n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 409: | \[409!!!!+1\] | 2 × 3023 × 37447 × 15381461 × 39146041390365500443450069<26> × 636746129945915644950617321925774798334920984540152929208820413416594359429642322441121054865162717702828539846945791333948980499982492678808586428624419305484038637981031868367490947<183> |