n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 349: | \[349!!!!+1\] | 2 × 1741 × 23438517358489<14> × 34654777008698333<17> × 13598305898489084915091427<26> × [4429650946816764709558693377410699120891285307724000530583700998225848247372527444103632421751231365768827366240372199534830307<127>] |