n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 344: | \[344!!!!+1\] | 10709596894912219<17> × 1793846192234230429960921<25> × [7549223372657658200207907045470524828674209635718247093863169237634666746431075851197467790066975643585096612115719386845032567018060051916299<142>] |