n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
268: | \[268!!!-1\] | 34 × 410869271 × 12654348659<11> × 1617446700602504539<19> × 261108457635260964314231<24> × 758378236439742666974407<24> × 48335708049839975303136229<26> × 794446773772800191033190521<27> × 46475383823273235210160843148810498647133<41> |