n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
315: | \[315!!!!!-1\] | 127 × 94709 × 5192495723<10> × 1685486750869<13> × 2041976473143217308462490699065921896450037696819787439337679620288493861436911767801103214591263735739<103> |