n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 417: | \[417!!!!-1\] | 24 × 5634073 × 1101339517 × 6101762837791<13> × [24677663358888117500156737954686554266834785262061970883642930923050948206878191477676607016874117056435891672330469779364142245297482278868888236139088485609479189919389930008618724436579205457871069<200>] |