n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 415: | \[415!!!!+1\] | 2 × 3517 × 5337001118671<13> × 313900768227737<15> × [91792990546624414602979374011904993196961814522793460313318995470359684001198451716571372506006515174679923373350076902011160528326872362620907020043093043383642819715031568931690348015741550880907<197>] |