Open Proof Network

Needs a steward / erdos-412

Steward erdos-412

Let $σ_1(n)=σ(n)$, the sum of divisors function, and $σ_k(n) = σ(σ_{k-1}(n))$. Is it true that, for every $m, n ≥ 2$, there exist some $i, j$ such that $σ_i(m) = σ_j(n)$?

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What the role asks
  • Understand what the network proves on this problem.
  • Write it up, and sign the explainer of the proof that closes it.
  • Best efforts, no deadline: step down at any time.
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