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# Abundant numbers

We say that a positive integer $$n$$ is abundant if $$S(n) > 2n$$ , where $$S(n)$$ represents the sum of divisors of $$n$$.

Determine the smallest positive integer $$m$$ with the following property: for every positive integer $$k > m$$, the number $$2k$$ is equal to the sum of two abundant numbers.

Note by Tomás Carvalho
7 months ago