n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
362: | \[362!!!!!-1\] | 2357 × 19249 × 6187332915703<13> × 578305193650188624130500398103540849313653659312257643935420661299208152242372988559689770498786826872203707890147172141720584307597189<135> |