n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 484: | \[484!!!!!+1\] | 5 × 36821 × 12028699483<11> × 62888156334354210943<20> × [14984037352011123072145866054392241065269478415870156080773417055049714589466228662168437257072824325309471307180009264269739274687578746204254124490858040313042665750746170231014998757<185>] |