n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 504: | \[504!!!!!+1\] | 5 × 20724169 × 1011006043 × 340794885561737<15> × [3551034639602745674010218550404605450074359674001939801769686181924149192880405364378000011178487453677001122133040128556483320920684434475735654060781054329769057143014025840083763232981644307718919<199>] |