n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
312: | \[312!!!!!-1\] | 1481 × 3863 × 66214835304809<14> × 21256284786453340707739699145654089423195417374764133536302978906470535419625831109256457808099776993101097321<110> |