n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
257: | \[257!!!!-1\] | 27 × 2565335814174577399<19> × 51792358150568146031<20> × 13582842718769694591311<23> × 584690263750746239582288269824291264223772405461310035311151455037<66> |