n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 671: | \[671!!!!!-1\] | 52 × 19219 × 24061 × 43752523 × 958185861271<12> × 2464936401171584723<19> × [22239194666933030007569197997999891002566648891565130157942043492735425284170859889779278594164527893697152557051764524546320431009140883403801797192004685439502359527866221520816528354895741570295169596173470689284420343842251596235887993833540857763273172371422812923220359<275>] |