n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 321: | \[321!!!!+1\] | 2 × 3273493 × 5215997 × 15135466711<11> × [669035968759612075871743473579821941237236149365131430070574423228926290197356831799952950629012760685762148154200000435587484355919898264554423<144>] |