n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
367: | \[367!!!!!-1\] | 585131 × 27904387704538529<17> × 11576470854821042729213<23> × 315204644867492521882896094831055387357452882342794921103731572558841081956936850685712194744028815798824420053089<114> |