n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 413: | \[413!!!!!+1\] | 463278251761849<15> × 534169508172067219<18> × 24856423001778448947871<23> × 7593565866574365310804779649837604929179722343750253649796110109094684324929418461365964555380347500870219719011018455775264813<127> |