n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 516: | \[516!!!!!-1\] | 5 × 971 × 4933 × 14612617 × 15065111569<11> × [51029573557027217695635911911052861095032687457785385317783442112515898866721932842938497578326340382244727672745192888190611425629416087345352054807872175596548536875956476362073120473839661625047189663964962349<212>] |