n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
399: | \[399!!!!!-1\] | 52 × 401 × 3884989 × 22795849 × 126784159 × 1374591319 × 31813396282081<14> × 429594853871595064869940908249423965221207678199933112289795265667125297094319426140201481660856352239307541827717073721272867<126> |