n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
276: | \[276!!!!!-1\] | 52 × 18481 × 124777 × 794684047 × 187124226311841890595761042681758378002779658756803762275968350198488548040907721888524386337<93> |