n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
353: | \[353!!!!!-1\] | 5507 × 111022777 × 7178252893968806140560637012223268808396335967836415828142171822140429168571787056024281171611786904822743238395862324623228844863073537789<139> |