n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
261: | \[261!!!!!-1\] | 5 × 237383324573180077595632811051<30> × 363031496688960638449300200375106403075976981833569260547301547955561593113<75> |