n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 248: | \[248!!!+1\] | 32 × 1543 × 7792440137<10> × [246012251694729350574573798872116458606396518466808326627568234633500245504548849323926986115575126813698043320672937683433085326693498191985723899079<150>] |