n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
416: | \[416!!!!!-1\] | 5 × 1297 × 9694764841<10> × 439996748052435667<18> × 38925801936509135578126114250435671969808091136744769632912552092255202518318104112711985372593497563365553123642177602711016866122283681771690245614249<152> |