n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
222: | \[222!!!-1\] | 1165349 × 608681153892315967<18> × 609324467775354588713<21> × 764588316308571744399089<24> × 202955662056124698857256679056902032345241561419106414865518004189065139829<75> |