n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 278: | \[278!!!!!-1\] | 5 × 20200748364664862510869085503<29> × 1308264252436194467210422415827653604949959731621592458459761065507028934676197239053<85> |