设正整数m,n满足m
问题描述:
设正整数m,n满足m
答
∵1/n2+n=1/n-1/n+1,
∴1/m2+m+1/(m+1)2+(m+1)+…+1/n2+n,
=1/m-1/m+1+1/m+1-1/m+2+…+1/n-1/n+1,
=1/m-1/n+1
=1/23=22/23×22,
∴m=22,n+1=23×22=506,n=505,
m+n=527.