erdos_469

Let $A$ be the set of all $n$ such that $n = d_1 + ⋯ + d_k$ with $d_i$ distinct proper divisors of $n$, but this is not true for any $m ∣ n$ with $m < n$. Does: $$ \sum_{n ∈ A} \frac 1 n $$ converge?

theorem erdos_469 :
    letI A

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