n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 344: | \[344!!!!!+1\] | 52 × 1879 × 113356709 × 83553954193680230660765782259111<32> × [239687273265616979781107319127251681696563588700809949477387856649090888493357063576438071886545026933<102>] |