Erdős problem 830We say that a,b∈Na,b\in \mathbb{N} are an amicable pair if σ(a)=σ(b)=a+b\sigma(a)=\sigma(b)=a+b. If A(x)A(x) counts the number of amicable 1≤a≤b≤x1\leq a\leq b\leq x then one can show that A(x)≤xexp(−(12+o(1))(logxloglogx)1/2)A(x) \leq x \exp(-(\tfrac{1}{2}+o(1))(\log x\log\log x)^{1/2}).WorkspaceContinue locallyOpen sourceSign in to contributeOpen this exact Problem, source revision, and authority Repository in Workbench. This handoff does not clone, switch, upload, or execute anything.FilesErdős problem 8306 retained source recordsCanvaspublic previewSource#830→ResultNone→Checks0