n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
279: | \[279!!!!-1\] | 22 × 48614173 × 27313770677<11> × 207969661754013032537<21> × 349057142133548840672390981<27> × 12200120171080608516596772355899277293389979248975889519264060223249576142563<77> |