Question Number 5947 by Yozzii last updated on 07/Jun/16
$$ \\ $$$${Show}\:{that}\:\mathrm{3}!^{\mathrm{5}!^{\mathrm{7}!^{\mathrm{9}!^{…\mathrm{2013}!} } } } \:\equiv\mathrm{1}\:\left({mod}\:\mathrm{11}\right). \\ $$
Show-that-3-5-7-9-2013-1-mod-11-