n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
414: | \[414!!!!-1\] | 22462673 × 54726389 × 134897670811<12> × 1411752582050276013349296593495151598051296871578790092497313526834789256058996260902332693871660557430987734924871640082374384866580523275333983511626286887450160304455039861637860592380427391387220297<202> |