n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 434: | \[434!!!!-1\] | 721727003 × 80374379377687<14> × 263265512883943<15> × 2983375306572979<16> × [72058519956129814294458322617083690916100218485019639421778911983190751791786625800249873452684676585598141660297326326696607528401605391205034756648277991470150856471655856529848018335647<188>] |