n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 530: | \[530!!!!!-1\] | 1667 × 2539 × 1253837207729<13> × 17709987899141<14> × 1690849209737887<16> × 4849882365853838091652655042179<31> × [18332326602950665284253790113743192370385259443288185621771690743351243528846903697299715231944566867827654310523144248572928946435234204414610571458931582411094906559<167>] |