n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 419: | \[419!!!!!+1\] | 257 × 2029 × 4241 × 1171673627387534143<19> × 9381873332931681572797<22> × [2493314240228028226960048475112041455582208040879389844835780303335462546919606654038147947989100906125967437120879774384531542043523719<136>] |