n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 425: | \[425!!!!+1\] | 2 × 2671 × 12374123 × 60311852984737<14> × 8493599275902875467<19> × [78991672340433458692784724348643376671447867664045168249188489682339272527397780151588451873096856881644706268344242133011029554384443831412408152087628324076608817933238225639371913557559209<191>] |