n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 439: | \[439!!!!-1\] | 22 × 14951 × 2042268114174257<16> × [55166048714417500885489097733882990554225078567434544059258631488681435808082149294733196203229192757095122531932527049264355939952122261785400895370881833319612805949692168013594638142789611314113146094701377158875762708333<224>] |