n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 349: | \[349!!!!-1\] | 24 × 1061 × 62323 × 8485910327<10> × 29761379580917<14> × 8096257568759938873<19> × 78751129869436237233059165860990056103595803430315480097948907129846553912758489583389792885463210518913403703037515140571562325401959<134> |