n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
176: | \[176!!!-1\] | 2459 × 809614123 × 186373184588934475252024893447917797715042631672749121894602341771208509659554289808556355774407<96> |