n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
180: | \[180!!!-1\] | 827 × 2309 × 3899578073 × 2263355298419<13> × 6300768302261<13> × 10340724647237<14> × 321222422197998909767603387761988133191219652746063387027<57> |