n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
250: | \[250!!!!-1\] | 127 × 691348631147<12> × 8180820310180553639270220481322543326218487<43> × 16657575783050993550061903124542765586155876636918304735720955152533<68> |