Question Number 88611 by M±th+et£s last updated on 11/Apr/20
$${prove}\:{that} \\ $$ $$\frac{\mathrm{1}+{p}^{\mathrm{2}} +{p}^{\mathrm{4}} +......+{p}^{\mathrm{2}{n}} }{{p}+{p}^{\mathrm{3}} +{p}^{\mathrm{5}} +.....{p}^{\mathrm{2}{n}−\mathrm{1}} }>\frac{{n}+\mathrm{1}}{{np}} \\ $$