n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
234: | \[234!!!!+1\] | 139 × 12468344536217963469582906941<29> × 1949029649928068467643199402874523764033746306366535377501494826755828251833984895199<85> |