n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 344: | \[344!!!!!+1\] | 52 × 1879 × 113356709 × 83553954193680230660765782259111<32> × 2960299484112333204395010838229685949548545771<46> × 80967238129789732609018059070872902200398804879410920223<56> |