n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
194: | \[194!!!-1\] | 673 × 30190969 × 1093864423 × 5998294527151<13> × 102021077060450263581153688185646339<36> × 1145343668584403773801834090962441363006980816077160341<55> |