n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 319: | \[319!!!!+1\] | 2 × 6719 × 75951391396854453071684089<26> × [27931352076823252941114174738395958512283057753711961798512681653627721114283747957862720356542690284333170845922373833287942830475560743<137>] |