n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
351: | \[351!!!!!-1\] | 52 × 11369 × 910924111043916783801306619359464671820517374862074457860541039263280068051298326710473583869968702249835544718202845719133671521482300867561023<144> |