Erdős Problem #423

Canonical assertion

declared status 'open'. Formalized: no. Let $a_1=1$ and $a_2=2$ and for $k\geq 3$ we choose $a_k$ to be the least integer $>a_{k-1}$ which is the sum of at least two consecutive terms of the sequence. What is the asymptotic behaviour of this sequence? Prize: no. OEIS: A005243. Tags: number theory.

Notation is rendered from the stored source. The pinned checkout remains the exact record.

Sourcedatabase_record
Assertiontheoretical
Evidence0 spans
Standingrecorded

Provenance summary

Source: erdos_deep:423
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_ff333115f49ddcd8
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

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