n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
405: | \[405!!!!-1\] | 22 × 2829642474846703<16> × 238304325706596371<18> × 78684671537015343545255486119673612692511363895511651154348851495431459938363650075792939730334595264352694556243280079777390140533994286235324684413440403842914543740515167817105424286687<188> |