n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
250: | \[250!!!!+1\] | 27107 × 1251827338219<13> × 352601042568329289341411162360089028172706439610160471343157711156763703324654870786088548875148011635208097<108> |