n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
250: | \[250!!!-1\] | 33 × 83137 × 11044729797643284097<20> × 31107543189299469531641308259405191879870937282109843108470147608051277121204949524278980214655963390993345517157103407704899862719268463533<140> |