n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
314: | \[314!!!!-1\] | 193 × 216661 × 7278059 × 9543113 × 361417013 × 883874981072924689<18> × 22328434485392341043266027823376290178240132075916527085718566924297423966747362268155926657663097196301565496395277<116> |