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Question Number 64604 by mathmax by abdo last updated on 19/Jul/19
find  all integr naturals n and k wich verify  k!=(2^n −1)(2^n −2)(2^n −4)...(2^n −2^(n−1) )
$${find}\:\:{all}\:{integr}\:{naturals}\:{n}\:{and}\:{k}\:{wich}\:{verify} \\ $$$${k}!=\left(\mathrm{2}^{{n}} −\mathrm{1}\right)\left(\mathrm{2}^{{n}} −\mathrm{2}\right)\left(\mathrm{2}^{{n}} −\mathrm{4}\right)…\left(\mathrm{2}^{{n}} −\mathrm{2}^{{n}−\mathrm{1}} \right) \\ $$

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