Problem 830

Erdős Problem #830: declared status 'open'. Formalized: yes. We say that $a,b\in \mathbb{N}$ are an amicable pair if $\sigma(a)=\sigma(b)=a+b$. Are there infinitely many amicable pairs? If $A(x)$ counts the number of amicable $1\leq a\leq b\leq x$ then is it true that$$A(x)>x^{1-o(1)}?$$ Prize: no. OEIS: A259180. Tags: number theory.