n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 559: | \[559!!!!!-1\] | 5 × 10499 × 799567760625143<15> × 7993634518657393<16> × [378607674524490575850217237367929730658726110304103431337319800041255011591868970611785602034282664156527707976347841378325690209774101176218892249219194221442679365262011162018975292832469536316349942793859078633757794042407<225>] |