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vf_3e701e6483eb5dfb

Erdős Problem #410

Canonical assertion

declared status 'open'. Formalized: yes. Let σ1(n)=σ(n)\sigma_1(n)=\sigma(n), the sum of divisors function, and σk(n)=σ(σk−1(n))\sigma_k(n)=\sigma(\sigma_{k-1}(n)). Is it true thatlim⁡k→∞σk(n)1/k=∞?\lim_{k\to \infty} \sigma_k(n)^{1/k}=\infty? Prize: no. OEIS: A007497. Tags: iterated functions, number theory.

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Provenance summary
Source
erdos_deep:410
Source type
database_record
Recorded
Jun 16, 2026, 12:00 AM
Updated
not recorded
Evidence spans
0
Exact record identityFinding ID, frontier identity, and pinned Git source
Finding ID
vf_3e701e6483eb5dfb
Frontier
vfr_0a25edabc16db143
Commit
ce8ba7d934c848408e0d91caca39e938698e3fc7
Tree
03f7371b496485f761f91961027fd48198dc7e93
Exact source and rootsGit ce8ba7d934c8 and content-addressed ledgers

Source identity

Commit
ce8ba7d934c848408e0d91caca39e938698e3fc7
Tree
03f7371b496485f761f91961027fd48198dc7e93
Committed
2026-07-20T19:20:20-04:00
Repository
Open source

Content roots

Event log
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Snapshot
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Proposals
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Actor registry
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Artifacts
sha256:3d58619c5cfb7e28de2f344476e35c9f0b80709c996b2a1bfdb2e11496f7e1da