n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 310: | \[310!!!!+1\] | 1447 × 246439 × 530641 × 198230507011<12> × 7121896194272178269<19> × 1666471731286089236741<22> × 142618886560554406986230333<27> × 8838965210019998707909378317160607<34> × 117557523974878739498146849682191753<36> |